## Numerical

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A uniform heating wire of resistance 36$$\Omega$$ is connected across a potential difference of 240 V. The wire is then ...
JEE Main 2021 (Online) 1st September Evening Shift
A resistor dissipates 192 J of energy in 1s when a current of 4A is passed through it. Now, when the current is doubled,...
JEE Main 2021 (Online) 31st August Evening Shift
A parallel plate capacitor of capacitance 200 $$\mu$$F is connected to a battery of 200 V. A dielectric slab of dielectr...
JEE Main 2021 (Online) 31st August Evening Shift
A capacitor of 50 $$\mu$$F is connected in a circuit as shown in figure. The charge on the upper plate of the capacitor ...
JEE Main 2021 (Online) 31st August Morning Shift
The voltage drop across 15$$\Omega$$ resistance in the given figure will be ______________ V....
JEE Main 2021 (Online) 31st August Morning Shift
A square shaped wire with resistance of each side 3$$\Omega$$ is bent to form a complete circle. The resistance between ...
JEE Main 2021 (Online) 31st August Morning Shift
The ratio of the equivalent resistance of the network (shown in figure) between the points a and b when switch is open a...
JEE Main 2021 (Online) 27th August Evening Shift
First, a set of n equal resistors of 10 $$\Omega$$ each are connected in series to a battery of emf 20V and internal res...
JEE Main 2021 (Online) 27th August Morning Shift
For the circuit shown, the value of current at time t = 3.2 s will be _________ A.[Voltage distribution V(t) is shown by...
JEE Main 2021 (Online) 27th July Evening Shift
An electric bulb rated as 200 W at 100 V is used in a circuit having 200 V supply. The resistance 'R' that must be put i...
JEE Main 2021 (Online) 25th July Morning Shift
In an electric circuit, a cell of certain emf provides a potential difference of 1.25 V across a load resistance of 5$$\... JEE Main 2021 (Online) 22th July Evening Shift The total charge enclosed in an incremental volume of 2$$\times$$10$$-$$9 m3 located at the origin is ___________ nC, ... JEE Main 2021 (Online) 22th July Evening Shift In the given figure switches S1 and S2 are in open condition. The resistance across ab when the switches S1 and S2 are c... JEE Main 2021 (Online) 20th July Evening Shift Consider a 72 cm long wire AB as shown in the figure. The galvanometer jockey is placed at P on AB at a distance x cm fr... JEE Main 2021 (Online) 18th March Evening Shift Two wires of same length and thickness having specific resistances 6$$\Omega$$cm and 3$$\Omega$$cm respectively are co... JEE Main 2021 (Online) 18th March Evening Shift A parallel plate capacitor has plate area 100 m2 and plate separation of 10 m. The space between the plates is filled up... JEE Main 2021 (Online) 18th March Morning Shift The voltage across the 10$$\Omega$$resistor in the given circuit is x volt.The value of 'x' to the nearest integer is _... JEE Main 2021 (Online) 18th March Morning Shift The circuit shown in the figure consists of a charged capacitor of capacity 3$$\mu$$F and a charge of$$\mu$$C. At time... JEE Main 2021 (Online) 18th March Morning Shift Seawater at a frequency f = 9$$\times$$102 Hz, has permittivity$$\varepsilon $$= 80$$\varepsilon $$0 and resistivity... JEE Main 2021 (Online) 17th March Evening Shift A 2$$\mu$$F capacitor C1 is first charged to a potential difference of 10V using a battery. Then the battery is removed ... JEE Main 2021 (Online) 17th March Evening Shift The electric field in a region is given by$$\overrightarrow E = {2 \over 5}{E_0}\widehat i + {3 \over 5}{E_0}\widehat ...
JEE Main 2021 (Online) 17th March Evening Shift
The electric field intensity produced by the radiation coming from a 100 W bulb at a distance of 3 m is E. The electric ...
JEE Main 2021 (Online) 17th March Evening Shift
The equivalent resistance of series combination of two resistors is 's'. When they are connected in parallel, the equiva...
JEE Main 2021 (Online) 17th March Morning Shift
Four identical rectangular plates with length, l = 2 cm and breadth, b = $${3 \over 2}$$ cm are arranged as shown in fig...
JEE Main 2021 (Online) 17th March Morning Shift
A parallel plate capacitor whose capacitance C is 14 pF is charged by a battery to a potential difference V = 12 V betwe...
JEE Main 2021 (Online) 17th March Morning Shift
In a parallel plate capacitor set up, the plate area of capacitor is 2 m2 and the plates are separated by 1 m. If the sp...
JEE Main 2021 (Online) 16th March Evening Shift
The energy dissipated by a resistor is 10 mJ in 1 s when an electric current of 2 mA flows through it. The resistance is...
JEE Main 2021 (Online) 16th March Evening Shift
In the figure given, the electric current flowing through the 5 k$$\Omega$$ resistor is 'x' mA.The value of x to the nea...
JEE Main 2021 (Online) 16th March Morning Shift
In an electrical circuit, a battery is connected to pass 20C of charge through it in a certain given time. The potential...
JEE Main 2021 (Online) 26th February Morning Shift
A current of 6A enters one corner P of an equilateral triangle PQR having 3 wires of resistance 2$$\Omega$$ each and lea...
JEE Main 2021 (Online) 25th February Evening Shift
Two identical conducting spheres with negligible volume have 2.1 nC and $$-$$0.1 nC charges, respectively. They are brou...
JEE Main 2021 (Online) 25th February Evening Shift
The peak electric field produced by the radiation coming from the 8W bulb at a distance of 10 m is $${x \over {10}}\sqrt... JEE Main 2021 (Online) 25th February Evening Shift 512 identical drops of mercury are charged to a potential of 2V each. The drops are joined to form a single drop. The po... JEE Main 2021 (Online) 25th February Morning Slot The electric field in a region is given by$$\overrightarrow E = \left( {{3 \over 5}{E_0}\widehat i + {4 \over 5}{E_0}\...
JEE Main 2021 (Online) 25th February Morning Slot
A point charge of +12$$\mu$$C is at a distance 6 cm vertically above the centre of a square of side 12 cm as shown in fi...
JEE Main 2021 (Online) 24th February Evening Slot
A cylindrical wire of radius 0.5 mm and conductivity 5 $$\times$$ 107 S/m is subjected to an electric field of 10 mV/m. ...
JEE Main 2021 (Online) 24th February Evening Slot
In connection with the circuit drawn below, the value of current flowing through 2 k$$\Omega$$ resistor is _________ $$\... JEE Main 2021 (Online) 24th February Morning Slot Suppose that intensity of a laser is$${{315} \over \pi }$$W/m2. The rms electric field, in units of V/m associated wit... JEE Main 2020 (Online) 6th September Morning Slot Four resistances 40$$\Omega $$, 60$$\Omega $$, 90$$\Omega $$and 110$$\Omega $$make the arms of a quadrilateral ABC... JEE Main 2020 (Online) 4th September Evening Slot An ideal cell of emf 10 V is connected in circuit shown in figure. Each resistance is 2$$\Omega $$. The potential diffe... JEE Main 2020 (Online) 2nd September Evening Slot A 5$$\mu $$F capacitor is charged fully by a 220 V supply. It is then disconnected from the supply and is connected in ... JEE Main 2020 (Online) 2nd September Morning Slot In a meter bridge experiment S is a standard resistance. R is a resistance wire. It is found that balancing length is$$...
JEE Main 2020 (Online) 9th January Evening Slot
The series combination of two batteries, both of the same emf 10 V, but different internal resistance of 20$$\Omega$$ a...
JEE Main 2020 (Online) 8th January Evening Slot

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A capacitor is connected to a 20 V battery through a resistance of 10$$\Omega$$. It is found that the potential differen...
JEE Main 2021 (Online) 1st September Evening Shift
Two resistors R1 = (4 $$\pm$$ 0.8) $$\Omega$$ and R2 = (4 $$\pm$$ 0.4) $$\Omega$$ are connected in parallel. The equival...
JEE Main 2021 (Online) 1st September Evening Shift
Due to cold weather a 1 m water pipe of cross-sectional area 1 cm2 is filled with ice at $$-$$10$$^\circ$$C. Resistive h...
JEE Main 2021 (Online) 1st September Evening Shift
A cube is placed inside an electric field, $$\overrightarrow E = 150{y^2}\widehat j$$. The side of the cube is 0.5 m an...
JEE Main 2021 (Online) 1st September Evening Shift
Choose the incorrect statement :(1) The electric lines of force entering into a Gaussian surface provide negative flux.(...
JEE Main 2021 (Online) 31st August Evening Shift
The equivalent resistance of the given circuit between the terminals A and B is :...
JEE Main 2021 (Online) 31st August Evening Shift
Consider a galvanometer shunted with 5$$\Omega$$ resistance and 2% of current passes through it. What is the resistance ...
JEE Main 2021 (Online) 31st August Morning Shift
Figure shows a rod AB, which is bent in a 120$$^\circ$$ circular arc of radius R. A charge ($$-$$Q) is uniformly distrib...
JEE Main 2021 (Online) 27th August Evening Shift
Three capacitors C1 = 2$$\mu$$F, C2 = 6$$\mu$$F and C3 = 12$$\mu$$F are connected as shown in figure. Find the ratio of ...
JEE Main 2021 (Online) 27th August Evening Shift
Five identical cells each of internal resistance 1$$\Omega$$ and emf 5V are connected in series and in parallel with an ...
JEE Main 2021 (Online) 27th August Morning Shift
Calculate the amount of charge on capacitor of 4$$\mu$$F. The internal resistance of battery is 1$$\Omega$$ :...
JEE Main 2021 (Online) 27th August Morning Shift
A uniformly charged disc of radius R having surface charge density $$\sigma$$ is placed in the xy plane with its center ...
JEE Main 2021 (Online) 27th August Morning Shift
An electric bulb of 500 watt at 100 volt is used in a circuit having a 200 V supply. Calculate the resistance R to be co...
JEE Main 2021 (Online) 26th August Evening Shift
A parallel plate capacitor with plate area A has separation d between the plates. Two dielectric slabs of dielectric con...
JEE Main 2021 (Online) 26th August Evening Shift
The two thin coaxial rings, each of radius 'a' and having charges +Q and $$-$$Q respectively are separated by a distance...
JEE Main 2021 (Online) 26th August Evening Shift
The material filled between the plates of a parallel plate capacitor has resistivity 200 $$\Omega$$m. The value of capac...
JEE Main 2021 (Online) 26th August Morning Shift
What equal length of an iron wire and a copper-nickel alloy wire, each of 2 mm diameter connected parallel to give an eq...
JEE Main 2021 (Online) 26th August Morning Shift
In the given figure, the emf of the cell is 2.2 V and if internal resistance is 0.6$$\Omega$$. Calculate the power dissi...
JEE Main 2021 (Online) 26th August Morning Shift
A simple pendulum of mass 'm', length 'l' and charge '+ q' suspended in the electric field produced by two conducting pa...
JEE Main 2021 (Online) 27th July Evening Shift
Match List I with List II. List - I List - II (a) Capacitance, C (i) $${M^... JEE Main 2021 (Online) 27th July Evening Shift Two capacitors of capacities 2C and C are joined in parallel and charged up to potential V. The battery is removed and t... JEE Main 2021 (Online) 27th July Morning Shift In the reported figure, a capacitor is formed by placing a compound dielectric between the plates of parallel plate capa... JEE Main 2021 (Online) 27th July Morning Shift A capacitor of capacitance C = 1$$\mu$$F is suddenly connected to a battery of 100 volt through a resistance R = 100$$...
JEE Main 2021 (Online) 27th July Morning Shift
In the given figure, a battery of emf E is connected across a conductor PQ of length 'l' and different area of cross-sec...
JEE Main 2021 (Online) 27th July Morning Shift
The given potentiometer has its wire of resistance 10$$\Omega$$. When the sliding contact is in the middle of the potent...
JEE Main 2021 (Online) 25th July Evening Shift
Two ideal electric dipoles A and B, having their dipole moment p1 and p2 respectively are placed on a plane with their c...
JEE Main 2021 (Online) 25th July Evening Shift
If qf is the free charge on the capacitor plates and qb is the bound charge on the dielectric slab of dielectric constan...
JEE Main 2021 (Online) 25th July Evening Shift
In the given figure, there is a circuit of potentiometer of length AB = 10 m. The resistance per unit length is 0.1 $$\O... JEE Main 2021 (Online) 25th July Morning Shift A parallel plate capacitor with plate area 'A' and distance of separation 'd' is filled with a dielectric. What is the c... JEE Main 2021 (Online) 25th July Morning Shift AC voltage V(t) = 20 sin$$\omega$$t of frequency 50 Hz is applied to a parallel plate capacitor. The separation between ... JEE Main 2021 (Online) 20th July Morning Shift The value of current in the 6$$\Omega$$resistance is :... JEE Main 2021 (Online) 20th July Morning Shift In the experiment of Ohm's law, a potential difference of 5.0 V is applied across the end of a conductor of length 10.0 ... JEE Main 2021 (Online) 18th March Morning Shift The four arms of a Wheatstone bridge have resistances as shown in the figure. A galvanometer of 15$$\Omega$$resistance ... JEE Main 2021 (Online) 17th March Evening Shift Two cells of emf 2E and E with internal resistance r1 and r2 respectively are connected in series to an external resisto... JEE Main 2021 (Online) 17th March Evening Shift A resistor develops 500 J of thermal energy in 20 s when a current of 1.5A is passed through it. If the current is incre... JEE Main 2021 (Online) 16th March Evening Shift For changing the capacitance of a given parallel plate capacitor, a dielectric material of dielectric constant K is used... JEE Main 2021 (Online) 16th March Morning Shift An inclined plane making an angle of 30$$^\circ$$with the horizontal is placed in a uniform horizontal electric field ... JEE Main 2021 (Online) 26th February Evening Shift A wire of 1$$\Omega$$has a length of 1 m. It is stretched till its length increases by 25%. The percentage change in re... JEE Main 2021 (Online) 26th February Evening Shift Given below are two statements: Statement I : An electric dipole is placed at the center of a hollow sphere. The flux of... JEE Main 2021 (Online) 26th February Evening Shift Five equal resistances are connected in a network as shown in figure. The net resistance between the points A and B is :... JEE Main 2021 (Online) 26th February Morning Shift Find the electric field at point P (as shown in figure) on the perpendicular bisector of a uniformly charged thin wire o... JEE Main 2021 (Online) 26th February Morning Shift Consider the combination of 2 capacitors C1 and C2 with C2 &gt; C1, when connected in parallel, the equivalent capacitan... JEE Main 2021 (Online) 26th February Morning Shift A charge 'q' is placed at one corner of a cube as shown in figure. The flux of electrostatic field$$\overrightarrow E $... JEE Main 2021 (Online) 25th February Evening Shift An electron with kinetic energy K1 enters between parallel plates of a capacitor at an angle '$$\alpha$$' with the plate... JEE Main 2021 (Online) 25th February Evening Shift Two equal capacitors are first connected in series and then in parallel. The ratio of the equivalent capacities in the t... JEE Main 2021 (Online) 24th February Morning Slot A cell E1 of emf 6V and internal resistance 2$$\Omega$$ is connected with another cell E2 of emf 4V and internal resista... JEE Main 2021 (Online) 24th February Morning Slot A current through a wire depends on time as i = $$\alpha$$0t + $$\beta$$t2where $$\alpha$$0 = 20 A/s and $$\beta$$ = 8 A... JEE Main 2021 (Online) 24th February Morning Slot Consider the force F on a charge 'q' due to a uniformly charged spherical shell of radius R carrying charge Q distribute... JEE Main 2020 (Online) 6th September Evening Slot In the figure shown, the current in the 10 V battery is close to : ... JEE Main 2020 (Online) 6th September Evening Slot Two identical electric point dipoles have dipole moments $${\overrightarrow p _1} = p\widehat i$$ and $${\overrightarrow... JEE Main 2020 (Online) 6th September Evening Slot A circuit to verify Ohm's law uses ammeter and voltmeter in series or parallel connected correctly to the resistor. In t... JEE Main 2020 (Online) 6th September Evening Slot For the given input voltage waveform Vin(t), the output voltage waveform V0(t), across the capacitor is correctly depict... JEE Main 2020 (Online) 6th September Morning Slot In the circuit shown, charge on the 5$$\mu $$F capacitor is : ... JEE Main 2020 (Online) 5th September Evening Slot A parallel plate capacitor has plate of length 'l', width ‘w’ and separation of plates is ‘d’. It is connected to a batt... JEE Main 2020 (Online) 5th September Evening Slot In the circuit, given in the figure currents in different branches and value of one resistor are shown. Then potential a... JEE Main 2020 (Online) 5th September Evening Slot A galvanometer of resistance G is converted into a voltmeter of range 0 – 1 V by connecting a resistance R1 in series wi... JEE Main 2020 (Online) 5th September Morning Slot A solid sphere of radius R carries a charge Q + q distributed uniformly over its volume. A very small point like piece o... JEE Main 2020 (Online) 5th September Morning Slot Two capacitors of capacitances C and 2C are charged to potential differences V and 2V, respectively. These are then conn... JEE Main 2020 (Online) 5th September Morning Slot An electrical power line, having a total resistance of 2$$\Omega $$, delivers 1 kW at 220 V. The efficiency of the tran... JEE Main 2020 (Online) 5th September Morning Slot The value of current i1 flowing from A to C in the circuit diagram is : ... JEE Main 2020 (Online) 4th September Evening Slot A capacitor C is fully charged with voltage V0. After disconnecting the voltage source, it is connected in parallel with... JEE Main 2020 (Online) 4th September Evening Slot A particle of charge q and mass m is subjected to an electric field E = E0 (1 –$$a$$x2) in the x-direction, where$$a$...
JEE Main 2020 (Online) 4th September Evening Slot
Concentric metallic hollow spheres of radii R and 4R hold charges Q1 and Q2 respectively. Given that surface charge de...
JEE Main 2020 (Online) 3rd September Evening Slot
Two resistors 400$$\Omega$$ and 800$$\Omega$$ are connected in series across a 6 V battery. The potential difference ...
JEE Main 2020 (Online) 3rd September Evening Slot
In the circuit shown in the figure, the total charge is 750 $$\mu$$C and the voltage across capacitor C2 is 20 V. Then...
JEE Main 2020 (Online) 3rd September Morning Slot
A 750 Hz, 20 V (rms) source is connected to a resistance of 100 $$\Omega$$, an inductance of 0.1803 H and a capacitance...
JEE Main 2020 (Online) 3rd September Morning Slot
Model a torch battery of length $$l$$ to be made up of a thin cylindrical bar of radius ‘a’ and a concentric thin cylind...
JEE Main 2020 (Online) 3rd September Morning Slot
A charge Q is distributed over two concentric conducting thin spherical shells radii r and R (R &gt; r). If the surface ...
JEE Main 2020 (Online) 2nd September Evening Slot
A potentiometer wire PQ of 1 m length is connected to a standard cell E1. Another cell E2 of emf 1.02 V is connected wit...
JEE Main 2020 (Online) 2nd September Evening Slot
A small point mass carrying some positive charge on it, is released from the edge of a table. There is a uniform electri...
JEE Main 2020 (Online) 2nd September Evening Slot
A 10 $$\mu$$F capacitor is fully charged to a potential difference of 50 V. After removing the source voltage it is con...
JEE Main 2020 (Online) 2nd September Evening Slot
Consider four conducting materials copper, tungsten, mercury and aluminium with resistivity $$\rho$$C, $$\rho$$T, $$\r... JEE Main 2020 (Online) 2nd September Morning Slot A battery of 3.0 V is connected to a resistor dissipating 0.5 W of power. If the terminal voltage of the battery is 2.5 ... JEE Main 2020 (Online) 4th September Morning Slot A charged particle (mass m and charge q) moves along X-axis with velocity V0. When it passes through the origin it enter... JEE Main 2020 (Online) 2nd September Morning Slot A wire A, bent in the shape of an arc of a circle, carrying a current of 2 A and having radius 2 cm and another wire B, ... JEE Main 2020 (Online) 4th September Morning Slot The current i in the network is : ... JEE Main 2020 (Online) 9th January Evening Slot In LC circuit the inductance L = 40 mH and capacitance C = 100$$\mu $$F. If a voltage V(t) = 10sin(314t) is applied to ... JEE Main 2020 (Online) 9th January Evening Slot An electron gun is placed inside a long solenoid of radius R on its axis. The solenoid has n turns/length and carries a ... JEE Main 2020 (Online) 9th January Evening Slot In the given circuit diagram, a wire is joining points B and D. The current in this wire is : ... JEE Main 2020 (Online) 9th January Morning Slot Consider two charged metallic spheres S1 and S2 of radii R1 and R2, respectively. The electric fields E1 (on S1) and E2 ... JEE Main 2020 (Online) 8th January Evening Slot A capacitor is made of two square plates each of side 'a' making a very small angle$$\alpha $$between them, as shown i... JEE Main 2020 (Online) 8th January Evening Slot A shown in the figure, a battery of emf$$\varepsilon $$is connected to an inductor L and resistance R in series. The s... JEE Main 2020 (Online) 8th January Evening Slot A galvanometer having a coil resistance 100$$\Omega $$gives a full scale deflection when a current of 1 mA is passed t... JEE Main 2020 (Online) 8th January Evening Slot Effective capacitance of parallel combination of two capacitors C1 and C2 is 10 μF. When these capacitors are individual... JEE Main 2020 (Online) 8th January Morning Slot In a building there are 15 bulbs of 45 W, 15 bulbs of 100 W, 15 small fans of 10 W and 2 heaters of 1 kW. The voltage of... JEE Main 2020 (Online) 7th January Evening Slot An emf of 20 V is applied at time t = 0 to a circuit containing in series 10 mH inductor and 5$$\Omega $$resistor. The... JEE Main 2020 (Online) 7th January Evening Slot In the figure, potential difference between A and B is : ... JEE Main 2020 (Online) 7th January Evening Slot The current I1 (in A) flowing through 1$$\Omega $$resistor in the following circuit is : ... JEE Main 2020 (Online) 7th January Morning Slot A moving coil galvanometer, having a resistance G, produces full scale deflection when a current Ig flows through it. Th... JEE Main 2019 (Online) 12th April Evening Slot Consider the LR circuit shown in the figure. If the switch S is closed at t = 0 then the amount of charge that passes th... JEE Main 2019 (Online) 12th April Evening Slot In the given circuit, the charge on 4$$\mu $$F capacitor will be : ... JEE Main 2019 (Online) 12th April Evening Slot A galvanometer of resistance 100$$\Omega $$has 50 divisions on its scale and has sensitivitv of 20$$\mu $$A/division.... JEE Main 2019 (Online) 12th April Morning Slot A point dipole$$\overrightarrow p = - {p_0}\widehat x$$is kept at the origin. The potential and electric field due t... JEE Main 2019 (Online) 12th April Morning Slot The resistive network shown below is connected to a D.C. source of 16 V. The power consumed by the network is 4 Watt. Th... JEE Main 2019 (Online) 12th April Morning Slot Two identical parallel plate capacitors, of capacitance C each, have plates of area A, separated by a distance d. The sp... JEE Main 2019 (Online) 12th April Morning Slot Shown in the figure is a shell made of a conductor. It has inner radius a and outer radius b, and carries charge Q. At i... JEE Main 2019 (Online) 12th April Morning Slot A simple pendulum of length L is placed between the plates of a parallel plate capacitor having electric field E, as sho... JEE Main 2019 (Online) 10th April Evening Slot A coil of self inductance 10 mH and resistance 0.1$$\Omega $$is connected through a switch to a battery of internal re... JEE Main 2019 (Online) 10th April Evening Slot In the given circuit, an ideal voltmeter connected across the 10$$\Omega $$resistance reads 2V. The internal resistance... JEE Main 2019 (Online) 10th April Morning Slot A moving coil galvanometer allows a full scale current of 10–4A. A series resistance of 2 M$$\Omega $$is required to co... JEE Main 2019 (Online) 10th April Morning Slot A transformer consisting of 300 turns in the primary and 150 turns in the secondary gives output power of 2.2 kW. If the... JEE Main 2019 (Online) 10th April Morning Slot Two wires A &amp; B are carrying currents I1 &amp; I2 as shown in the figure. The separation between them is d. A third ... JEE Main 2019 (Online) 10th April Morning Slot Figure shows charge (q) versus voltage (V) graph for series and parallel combination of two given capacitors. The capaci... JEE Main 2019 (Online) 10th April Morning Slot The parallel combination of two air filled parallel plate capacitors of capacitance C and nC is connected to a battery o... JEE Main 2019 (Online) 9th April Evening Slot A very long solenoid of radius R is carrying current I(t) = kte–at(k &gt; 0), as a function of time (t$$ \ge $$0). cou... JEE Main 2019 (Online) 9th April Evening Slot The resistance of a galvanometer is 50 ohm and the maximum current which can be passed through it is 0.002 A. What resis... JEE Main 2019 (Online) 9th April Evening Slot A metal wire of resistance 3$$\Omega $$is elongated to make a uniform wire of double its previous length. This new wi... JEE Main 2019 (Online) 9th April Evening Slot A rigid square loop of side 'a' and carrying current I2 is lying on a horizontal surface near a long current I1 carrying... JEE Main 2019 (Online) 9th April Morning Slot A capacitor with capacitance 5μF is charged to 5μC. If the plates are pulled apart to reduce the capacitance to 2μF, how... JEE Main 2019 (Online) 9th April Morning Slot Determine the charge on the capacitor in the following circuit : ... JEE Main 2019 (Online) 9th April Morning Slot In the figure shown, what is the current (in Ampere) drawn from the battery ? You are given: R1 = 15$$\Omega $$, R2 = 10... JEE Main 2019 (Online) 8th April Evening Slot A parallel plate capacitor has 1μF capacitance. One of its two plates is given +2μC charge and the other plate, +4μC cha... JEE Main 2019 (Online) 8th April Evening Slot The electric field in a region is given by$$\mathop E\limits^ \to = \left( {Ax + B} \right)\mathop i\limits^ \wedge ...
JEE Main 2019 (Online) 8th April Evening Slot
A circuit connected to an ac source of emf e = e0sin(100t) with t in seconds, gives a phase difference of $$\pi$$/4 bet...
JEE Main 2019 (Online) 8th April Evening Slot
An alternating voltage v(t) = 220 sin 100 $$\pi$$t volt is applied to a purely resistance load of 50$$\Omega$$ . The t...
JEE Main 2019 (Online) 8th April Morning Slot
A solid conducting sphere, having a charge Q, is surrounded by an uncharged conducting hollow spherical shell. Let the p...
JEE Main 2019 (Online) 8th April Morning Slot
A 20 Henry inductor coil is connected to a 10 ohm resistance in series as shown in figure. The time at which rate of dis...
JEE Main 2019 (Online) 8th April Morning Slot
For the circuit shown, with R1 = 1.0W, R2 = 2.0 W, E1 = 2 V and E2 = E3 = 4 V, the potential difference between the poin...
JEE Main 2019 (Online) 8th April Morning Slot
Voltage rating of a parallel plate capacitor is 500V. Its dielectric can withstand a maximum electric field of 106 V/m. ...
JEE Main 2019 (Online) 8th April Morning Slot
A 200 $$\Omega$$ resistor has a certain color code. If one replaces the red color by green in the code, the new resist...
JEE Main 2019 (Online) 8th April Morning Slot
The charge on a capacitor plate in a circuit, as a function of time, is shown in the figure : When is the value of curr...
JEE Main 2019 (Online) 12th January Evening Slot
In the above circuit, C = $${{\sqrt 3 } \over 2}$$$$\mu$$F, R2 = 20 $$\Omega$$, L = $${{\sqrt 3 } \over {10}}$$ H and ...
JEE Main 2019 (Online) 12th January Evening Slot
In the circuit shown, find C if the effective capacitance of the whole circuit is to be 0.5 $$\mu$$F. All values in the...
JEE Main 2019 (Online) 12th January Evening Slot
A parallel plate capacitor with plates of area 1 m2 each, are at a separation of 0.1 m. If the electric field between th...
JEE Main 2019 (Online) 12th January Evening Slot
In the given circuit diagram, the currents, I1 = – 0.3 A, I4 = 0.8 A and I5 = 0.4 A, are flowing as shown. The currents...
JEE Main 2019 (Online) 12th January Evening Slot
Two electric bulbs, rated at (25 W, 220 V) and (100 W, 220 V), are connected in series across a 220 V voltage source. If...
JEE Main 2019 (Online) 12th January Morning Slot
In a meter bridge, the wire of length 1 m has a non-uniform cross-section such that, the variation $${{dR} \over {d\ell ... JEE Main 2019 (Online) 12th January Morning Slot In the figure shown, a circuit contains two identical resistors with resistance R = 5$$\Omega $$and an inductance with ... JEE Main 2019 (Online) 12th January Morning Slot An ideal battery of 4 V and resistance R are connected in series in the primary circuit of a potentiometer of length 1 m... JEE Main 2019 (Online) 12th January Morning Slot In the figure shown, after the switch 'S' is turned from position 'A' to position 'B', the energy dissipated in the circ... JEE Main 2019 (Online) 12th January Morning Slot In the circuit shown, the potential difference between A and B is : ... JEE Main 2019 (Online) 11th January Evening Slot Seven capacitors, each of capacitance 2$$\mu $$F, are to be connected in a configuration to obtain an effective capacit... JEE Main 2019 (Online) 11th January Evening Slot A copper wire is wound on a wooden frame, whose shape is that of an equilateral triangle. If the linear dimension of eac... JEE Main 2019 (Online) 11th January Evening Slot A galvanometer having a resistance of 20$$\Omega $$and 30 divisions on both sides has figure of merit 0.005 ampere/div... JEE Main 2019 (Online) 11th January Evening Slot An electric field of 1000 V/m is applied to an electric dipole at angle of 45o. The value of electric dipole moment is 1... JEE Main 2019 (Online) 11th January Evening Slot In a Wheatstone bridge(see fig.), Resistances P and Q are approximately equal. When R = 400$$\Omega $$, the bridge is b... JEE Main 2019 (Online) 11th January Morning Slot In the circuit shown, the switch S1 is closed at time t = 0 and the switch S2 is kept open. At some later time(t0), th... JEE Main 2019 (Online) 11th January Morning Slot The given graph shows variation (with distance r form centre) of : ... JEE Main 2019 (Online) 11th January Morning Slot In the figure shown below, the charge on the left plate of the 10$$\mu $$F capacitor is –30$$\mu $$C. The charge on the ... JEE Main 2019 (Online) 11th January Morning Slot Two equal resistances when connected in series to a battery, consume electric power of 60 W. If these resistances are no... JEE Main 2019 (Online) 11th January Morning Slot The actual value of resistance R, shown in the figure is 30$$\Omega $$. This is measuered in an experiment as shown usin... JEE Main 2019 (Online) 10th January Evening Slot A parallel plate capacitor having capacitance 12 pF is charged by a battery to a potential difference of 10 V between it... JEE Main 2019 (Online) 10th January Evening Slot A current of 2 mA was passed through an unknown resistor which dissipated a power of 4.4 W. Dissipated power when an ide... JEE Main 2019 (Online) 10th January Evening Slot Four equal point charges Q each are placed in the xy plane at (0, 2), (4, 2), (4, –2) and (0, –2). The work required to ... JEE Main 2019 (Online) 10th January Evening Slot A potentiometer wire AB having length L and resistance 12 r is joined to a cell D of emf$$\varepsilon $$and internal r... JEE Main 2019 (Online) 10th January Morning Slot In the given circuit the cells have zero internal resistance. The currents (in Amperes) passing through resistance R1 an... JEE Main 2019 (Online) 10th January Morning Slot A charge Q is distributed over three concentric spherical shells of radii a, b, c (a &lt; b &lt; c) such that their surf... JEE Main 2019 (Online) 10th January Morning Slot A 2 W carbon resistor is color coded with green, black, red and brown respectively. The maximum current which can be pas... JEE Main 2019 (Online) 10th January Morning Slot A uniform metallic wire has a resistance of 18$$\Omega $$and is bent into an equilateral triangle. Then, the resistanc... JEE Main 2019 (Online) 10th January Morning Slot A parallel plate capacitor is of area 6 cm2 and a separation 3 mm. The gap is filled with three dielectric materials of... JEE Main 2019 (Online) 10th January Morning Slot A parallel plate capacitor with square plates is filled with four dielecytrics of dielectrics constants K1, K2, K3, K4 a... JEE Main 2019 (Online) 9th January Evening Slot A carbon resistance has a following colour code. What is the value of the resistance ? ... JEE Main 2019 (Online) 9th January Evening Slot A series AC circuit containing an inductor (20 mH), a capacitor (120$$\mu $$F) and a resistor (60$$\Omega $$) is drive... JEE Main 2019 (Online) 9th January Evening Slot A parallel plate capacitor is made of two square plates of side 'a', separated by a distance d (d &lt; &lt; a). The lowe... JEE Main 2019 (Online) 9th January Morning Slot Drift speed of electrons, when 1.5 A of current flows in a copper wire of cross section 5 mm2, is$$\upsilon $$. If the ... JEE Main 2019 (Online) 9th January Morning Slot For a uniformly charged ring of radius R, the electric field on its axis has the largest magnitude at a distance h from... JEE Main 2019 (Online) 9th January Morning Slot When the switch S, in the circuit shown, is closed, then the value of current i will be : ... JEE Main 2019 (Online) 9th January Morning Slot In a circuit for finding the resistance of a galvanometer by half deflection method, a 6 V battery and a high resistan... JEE Main 2018 (Online) 16th April Morning Slot A heating element has a resistance of 100$$\Omega $$at room temperature. When it is connected to a supply of 220 V, a... JEE Main 2018 (Online) 16th April Morning Slot A constant voltages is applied between two ends of a metallic wire. If the length is halved and the radius of the wire i... JEE Main 2018 (Online) 15th April Evening Slot A copper rod of cross-sectional area A carries a uniform current I through it. At temperature T, if the volume charge de... JEE Main 2018 (Online) 15th April Evening Slot In the given circuit all resistances are of value$$Rohm$$each. The equivalent resistance between$$A$$and$$B$$... JEE Main 2018 (Online) 15th April Morning Slot In a meter bridge, as shown in the figure, it is given that resistance$$Y = 12.5\,\,\Omega $$and that the balance i... JEE Main 2018 (Online) 15th April Morning Slot Two batteries with e.m.f 12 V and 13 V are connected in parallel across a load resistor of 10$$\Omega $$. The internal ... JEE Main 2018 (Offline) On interchanging the resistances, the balance point of a meter bridge shifts to the left by 10 cm. The resistance of the... JEE Main 2018 (Offline) The figure shows three circuits I, II and III which are connected to a 3V battery. If the powers dissipated by the confi... JEE Main 2017 (Online) 9th April Morning Slot In a meter bridge experiment resistances are connected as shown in the figure. Initially resistance P = 4$$\Omega $$an... JEE Main 2017 (Online) 9th April Morning Slot A uniform wire of length 1 and radius r has a resistance of 100$$\Omega $$. It is recast into a wire of radius$${r \o...
JEE Main 2017 (Online) 9th April Morning Slot
A 9 V battery with internal resistance of 0.5 $$\Omega$$ is connected across an infinite network as shown in the fi...
JEE Main 2017 (Online) 8th April Morning Slot
A potentiometer PQ is set up to compare two resistances as shown in the figure. The ammeter A in the circuit reads 1.0 A...
JEE Main 2017 (Online) 8th April Morning Slot
In the given circuit, the current in each resistance is: ...
JEE Main 2017 (Offline)
Which of the following statements is false?
JEE Main 2017 (Offline)
In the given circuit diagram when the current reaches steady state in the circuit, the charge on the capacitor of capaci...
JEE Main 2017 (Offline)
The resistance of an electrical toaster has a temperature dependence given by R(T) = R0 [1 + $$\alpha$$(T − T0)] in its...
JEE Main 2016 (Online) 10th April Morning Slot
In the circuit shown, the resistance r is a variable resistance. If for r = fR, the heat generation in r is maximum the...
JEE Main 2016 (Online) 9th April Morning Slot
The temperature dependence of resistance of $$Cu$$ and undoped $$Si$$ in the temperature range $$300-400$$ $$K,$$ is bes...
JEE Main 2016 (Offline)
In the circuit shown, the current in the $$1\Omega$$ resistor is : ...
JEE Main 2015 (Offline)
When $$5V$$ potential difference is applied across a wire of length $$0.1$$ $$m,$$ the drift speed of electrons is $$2.5... JEE Main 2015 (Offline) In a large building, three are$$15$$bulbs of$$40W$$,$$5$$bulbs of$$100W$$,$$5$$fans of$$80W$$an... JEE Main 2014 (Offline) This questions has Statement -$${\rm I}$$and Statement -$${\rm I}{\rm I}$$. Of the four choices given after the S... JEE Main 2013 (Offline) The supply voltage to room is$$120V.$$The resistance of the lead wires is$$6\Omega $$. A$$60W$$bulb is already... JEE Main 2013 (Offline) Two electric bulbs marked$$25W-220V$$and$$100W-220V$$are connected in series to a$$440$$... AIEEE 2012 If a wire is stretched to make it$$0.1\% $$longer, its resistance will: AIEEE 2011 Two conductors have the same resistance at$${0^ \circ }C$$but their temperature coefficients of resistance are$${\alp...
AIEEE 2010
Let $$C$$ be the capacitance of a capacitor discharging through a resistor $$R.$$ Suppose $${t_1}$$ is the time taken fo...
AIEEE 2010
A $$5V$$ battery with internal resistance $$2\Omega$$ and a $$2V$$ battery with internal resistance $$1\Omega$$ are co...
AIEEE 2008
Consider a block of conducting material of resistivity $$'\rho '$$ shown in the figure. Current $$'I'$$ enters at $$'A'... AIEEE 2008 Consider a block of conducting material of resistivity$$'\rho '$$shown in the figure. Current$$'I'$$enters at$$'A'$... AIEEE 2008 Shown in the figure below is a meter-bridge set up with null deflection in the galvanometer. The value of the unknown ... AIEEE 2008 The resistance of a wire is $$5$$ ohm at $${50^ \circ }C$$ and $$6$$ ohm at $${100^ \circ }C.$$ The resistance of the wi... AIEEE 2007 A battery is used to charge a parallel plate capacitor till the potential difference between the plates becomes equal to... AIEEE 2007 The current $${\rm I}$$ drawn from the $$5$$ volt source will be ... AIEEE 2006 The resistance of bulb filmanet is $$100\Omega$$ at a temperature of $${100^ \circ }C.$$ If its temperature coefficient... AIEEE 2006 In a Wheatstone's bridge, three resistance $$P, Q$$ and $$R$$ connected in the three arms and the fourth arm is formed b... AIEEE 2006 An electric bulb is rated $$220$$ volt - $$100$$ watt. The power consumed by it when operated on $$110$$ volt will be AIEEE 2006 A thermocouple is made from two metals, Antimony and Bismuth. If one junction of the couple is kept hot and the other is... AIEEE 2006 An energy source will supply a constant current into the load if its internal resistance is AIEEE 2005 In a potentiometer experiment the balancing with a cell is at length $$240$$ $$cm.$$ On shunting the cell with a resist... AIEEE 2005 The resistance of hot tungsten filament is about $$10$$ times the cold resistance. What will be resistance of $$100$$ $$... AIEEE 2005 A moving coil galvanometer has$$150$$equal divisions. Its current sensitivity is$$10$$- divisions per milliampere and... AIEEE 2005 Two sources of equal$$emf$$are connected to an external resistance$$R.$$The internal resistance of the two sources ... AIEEE 2005 Two voltmeters, one of copper and another of silver, are joined in parallel. When a total charge$$q$$flows through the... AIEEE 2005 In the circuit, the galvanometer$$G$$shows zero deflection. If the batteries$$A$$and$$B$$have negligible internal ... AIEEE 2005 A heater coil is cut into two equal parts and only one part is now used in the heater. The heat generated will now be AIEEE 2005 A material$$'B'$$has twice the specific resistance of$$'A'.$$A circular wire made of$$'B'$$has twice the diameter ... AIEEE 2004 The Kirchhoff's first law$$\left( {\sum i = 0} \right)$$and second law$$\left( {\sum iR = \sum E} \right),$$where th... AIEEE 2004 The thermo$$emf$$of a thermocouple varies with temperature$$\theta $$of the hot junction as$$E = a\theta + b{\the... AIEEE 2004 The electrochemical equivalent of a metal is $${3.35109^{ - 7}}$$ $$kg$$ per Coulomb. The mass of the metal liberated at... AIEEE 2004 Thermistors are usually made of AIEEE 2004 In a meter bridge experiment null point is obtained at $$20$$ $$cm$$, from one end of the wire when resistance $$X$$ is... AIEEE 2004 Time taken by a $$836$$ $$W$$ heater to heat one litre of water from $$10{}^ \circ C$$ to $$40{}^ \circ C$$ is AIEEE 2004 The total current supplied to the circuit by the battery is ... AIEEE 2004 An electric current is passed through a circuit containing two wires of the same material, connected in parallel. If the... AIEEE 2004 The resistance of the series combination of two resistances is $$S.$$ When they are jointed in parallel the total resist... AIEEE 2004 A $$220$$ volt, $$1000$$ watt bulb is connected across a $$110$$ $$volt$$ mains supply. The power consumed will be AIEEE 2003 A $$3$$ volt battery with negligible internal resistance is connected in a circuit as shown in the figure. The current$...
AIEEE 2003
The nagative $$Zn$$ pole of a Daniell cell, sending a constant current through a circuit, decreases in mass by $$0.13g$$...
AIEEE 2003
An ammeter reads upto $$1$$ ampere. Its internal resistance is $$0.81$$ $$ohm$$. To increase the range to $$10$$ $$A$$ t...
AIEEE 2003
The thermo $$e.m.f.$$ of a thermo -couple is $$25$$ $$\mu V/{}^ \circ C$$ at room temperature. A galvanometer of $$40$$ ...
AIEEE 2003
The length of a wire of a potentiometer is $$100$$ $$cm$$, and the $$e.$$ $$m.$$ $$f.$$ of its standard cell is $$E$$ vo...
AIEEE 2003
If in the circuit, power dissipation is $$150W,$$ then $$R$$ is ...
AIEEE 2002
If a current is passed through a spring then the spring will
AIEEE 2002
The mass of product liberated on anode in an electrochemical cell depends on (where $$t$$ is the time period for which ...
AIEEE 2002
If $${\theta _1},$$ is the inversion temperature, $${\theta _n}$$ is the neutral temperature, $${\theta _c}$$ is the te...
AIEEE 2002
A wire when connected to $$220$$ $$V$$ mains supply has power dissipation $${P_1}.$$ Now the wire is cut into two equal ...
AIEEE 2002
If an ammeter is to be used in place of a voltmeter, then we must connect with the ammeter a
AIEEE 2002

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