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## Numerical

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The frequencies at which the current amplitude in an LCR series circuit becomes $$\frac{1}{\sqrt{2}}$$ times its maximum...
JEE Main 2022 (Online) 28th July Morning Shift
A conducting circular loop is placed in $$X-Y$$ plane in presence of magnetic field $$\overrightarrow{\mathrm{B}}=\left(... JEE Main 2022 (Online) 27th July Evening Shift To light, a$$50 \mathrm{~W}, 100 \mathrm{~V}$$lamp is connected, in series with a capacitor of capacitance$$\frac{50}...
JEE Main 2022 (Online) 27th July Morning Shift
In a coil of resistance $$8 \,\Omega$$, the magnetic flux due to an external magnetic field varies with time as $$\phi=\... JEE Main 2022 (Online) 26th July Evening Shift The effective current I in the given circuit at very high frequencies will be ___________ A. ... JEE Main 2022 (Online) 26th July Morning Shift Magnetic flux (in weber) in a closed circuit of resistance 20$$\Omega$$varies with time t(s) at$$\phi$$= 8t2$$-$$9... JEE Main 2022 (Online) 25th July Evening Shift A series LCR circuit with$$R = {{250} \over {11}}\,\Omega $$and$${X_L} = {{70} \over {11}}\,\Omega $$is connected ac... JEE Main 2022 (Online) 30th June Morning Shift As shown in the figure an inductor of inductance 200 mH is connected to an AC source of emf 220 V and frequency 50 Hz. T... JEE Main 2022 (Online) 24th June Morning Shift The current in a coil of self inductance 2.0 H is increasing according to I = 2 sin(t2) A. The amount of energy spent du... JEE Main 2022 (Online) 25th June Morning Shift In a series LCR circuit, the inductance, capacitance and resistance are L = 100 mH, C = 100$$\mu$$F and R = 10$$\Omega...
JEE Main 2022 (Online) 25th June Evening Shift
A 110 V, 50 Hz, AC source is connected in the circuit (as shown in figure). The current through the resistance 55 $$\Ome... JEE Main 2022 (Online) 26th June Morning Shift A 10$$\Omega$$, 20 mH coil carrying constant current is connected to a battery of 20 V through a switch. Now after swit... JEE Main 2022 (Online) 26th June Morning Shift A 220 V, 50 Hz AC source is connected to a 25 V, 5 W lamp and an additional resistance R in series (as shown in figure) ... JEE Main 2022 (Online) 27th June Morning Shift A telegraph line of length 100 km has a capacity of 0.01$$\mu$$F/km and it carries an alternating current at 0.5 kilo c... JEE Main 2022 (Online) 28th June Morning Shift An AC source is connected to an inductance of 100 mH, a capacitance of 100$$\mu$$F and a resistance of 120$$\Omega$$a... JEE Main 2022 (Online) 28th June Morning Shift In the given circuit, the magnitude of VL and VC are twice that of VR. Given that f = 50 Hz, the inductance of the coil ... JEE Main 2022 (Online) 28th June Evening Shift An inductor of 0.5 mH, a capacitor of 200$$\mu$$F and a resistor of 2$$\Omega$$are connected in series with a 220 V a... JEE Main 2022 (Online) 29th June Evening Shift The intensity of the light from a bulb incident on a surface is 0.22 W/m2. The amplitude of the magnetic field in this l... JEE Main 2022 (Online) 29th June Morning Shift At very high frequencies, the effective impendence of the given circuit will be ________________$$\Omega$$.... JEE Main 2021 (Online) 31st August Evening Shift The electric field in an electromagnetic wave is given by E = (50 NC$$-$$1) sin$$\omega$$(t$$-$$x/c)The energy contai... JEE Main 2021 (Online) 31st August Morning Shift An ac circuit has an inductor and a resistor resistance R in series, such that XL = 3R. Now, a capacitor is added in ser... JEE Main 2021 (Online) 27th August Evening Shift The alternating current is given by$$i = \left\{ {\sqrt {42} \sin \left( {{{2\pi } \over T}t} \right) + 10} \right\}A$$... JEE Main 2021 (Online) 27th August Morning Shift In the given figure the magnetic flux through the loop increases according to the relation$$\phi$$B(t) = 10t2 + 20t, wh... JEE Main 2021 (Online) 27th July Evening Shift Consider an electrical circuit containing a two way switch 'S'. Initially S is open and then T1 is connected to T2. As t... JEE Main 2021 (Online) 27th July Morning Shift Two circuits are shown in the figure (a) &amp; (b). At a frequency of ____________ rad/s the average power dissipated in... JEE Main 2021 (Online) 25th July Evening Shift An inductor of 10 mH is connected to a 20V battery through a resistor of 10 k$$\Omega$$and a switch. After a long time,... JEE Main 2021 (Online) 25th July Morning Shift A series LCR circuit of R = 5$$\Omega$$, L = 20 mH and C = 0.5$$\mu$$F is connected across an AC supply of 250 V, havin... JEE Main 2021 (Online) 20th July Evening Shift In an LCR series circuit, an inductor 30 mH and a resistor 1$$\Omega$$are connected to an AC source of angular frequen... JEE Main 2021 (Online) 20th July Morning Shift A sinusoidal voltage of peak value 250 V is applied to a series LCR circuit, in which R = 8$$\Omega$$, L = 24 mH and C =... JEE Main 2021 (Online) 16th March Morning Shift In a series LCR resonant circuit, the quality factor is measured as 100. If the inductance is increased by two fold and ... JEE Main 2021 (Online) 26th February Morning Shift A transmitting station releases waves of wavelength 960 m. A capacitor of 2.56$$\mu$$F is used in the resonant circuit.... JEE Main 2021 (Online) 25th February Morning Slot A coil of inductance 2 H having negligible resistance is connected to a source of supply whose voltage is given by V = 3... JEE Main 2021 (Online) 25th February Morning Slot A series L-C-R circuit is designed to resonate at an angular frequency$$\omega$$0 = 105 rad/s. The circuit draws 16W po... JEE Main 2021 (Online) 24th February Evening Slot A resonance circuit having inductance and resistance 2$$\times$$10$$-$$4 H and 6.28$$\Omega$$respectively oscillates ... JEE Main 2021 (Online) 24th February Morning Slot A common transistor radio set requires 12 V (D.C.) for its operation. The D.C. source is constructed by using a transfor... JEE Main 2021 (Online) 24th February Morning Slot In a series LR circuit, power of 400W is dissipated from a source of 250 V, 50 Hz. The power factor of the circuit is 0.... JEE Main 2020 (Online) 6th September Evening Slot Suppose that intensity of a laser is$${{315} \over \pi }$$W/m2. The rms electric field, in units of V/m associated wit... JEE Main 2020 (Online) 6th September Morning Slot In a fluorescent lamp choke (a small transformer) 100 V of reverse voltage is produced when the choke current changes un... JEE Main 2020 (Online) 9th January Morning Slot A loop ABCDEFA of straight edges has six corner points A(0, 0, 0), B(5, 0, 0), C(5, 5, 0), D (0, 5, 0), E(0, 5, 5) and F... JEE Main 2020 (Online) 7th January Morning Slot ## MCQ (Single Correct Answer) More The equation of current in a purely inductive circuit is$$5 \sin \left(49\, \pi t-30^{\circ}\right)$$. If the inductanc... JEE Main 2022 (Online) 28th July Morning Shift A series LCR circuit has$$\mathrm{L}=0.01\, \mathrm{H}, \mathrm{R}=10\, \Omega$$and$$\mathrm{C}=1 \mu \mathrm{F}$$an... JEE Main 2022 (Online) 27th July Evening Shift A direct current of$$4 \mathrm{~A}$$and an alternating current of peak value$$4 \mathrm{~A}$$flow through resistance... JEE Main 2022 (Online) 27th July Morning Shift The oscillating magnetic field in a plane electromagnetic wave is given by$$B_{y}=5 \times 10^{-6} \sin 1000 \pi\left(5...
JEE Main 2022 (Online) 26th July Evening Shift
In a series $$L R$$ circuit $$X_{L}=R$$ and power factor of the circuit is $$P_{1}$$. When capacitor with capacitance $$... JEE Main 2022 (Online) 26th July Morning Shift The magnetic field of a plane electromagnetic wave is given by :$$ \overrightarrow{\mathrm{B}}=2 \times 10^{-8} \sin \l...
JEE Main 2022 (Online) 26th July Morning Shift
When you walk through a metal detector carrying a metal object in your pocket, it raises an alarm. This phenomenon works...
JEE Main 2022 (Online) 25th July Evening Shift
Light wave travelling in air along x-direction is given by $${E_y} = 540\sin \pi \times {10^4}(x - ct)\,V{m^{ - 1}}$$. ...
JEE Main 2022 (Online) 25th July Evening Shift
The electric current in a circular coil of 2 turns produces a magnetic induction B1 at its centre. The coil is unwound a...
JEE Main 2022 (Online) 25th July Evening Shift
The rms value of conduction current in a parallel plate capacitor is $$6.9 \,\mu \mathrm{A}$$. The capacity of this capa...
JEE Main 2022 (Online) 25th July Morning Shift
A small square loop of wire of side $$l$$ is placed inside a large square loop of wire $$\mathrm{L}(\mathrm{L}>>l)$$. Bo...
JEE Main 2022 (Online) 25th July Morning Shift
To increase the resonant frequency in series LCR circuit,
JEE Main 2022 (Online) 25th July Morning Shift
In series RLC resonator, if the self inductance and capacitance become double, the new resonant frequency (f2) and new q...
JEE Main 2022 (Online) 30th June Morning Shift
An expression for oscillating electric field in a plane electromagnetic wave is given as Ez = 300 sin(5$$\pi$$ $$\times... JEE Main 2022 (Online) 30th June Morning Shift A plane electromagnetic wave travels in a medium of relative permeability 1.61 and relative permittivity 6.44. If magnit... JEE Main 2022 (Online) 24th June Morning Shift A resistance of 40$$\Omega$$is connected to a source of alternating current rated 220 V, 50 Hz. Find the time taken by... JEE Main 2022 (Online) 24th June Morning Shift Given below are two statements : Statement I : The reactance of an ac circuit is zero. It is possible that the circuit c... JEE Main 2022 (Online) 24th June Evening Shift The electric field in an electromagnetic wave is given by E = 56.5 sin$$\omega$$(t$$-$$x/c) NC$$-$$1. Find the intens... JEE Main 2022 (Online) 25th June Morning Shift If wattless current flows in the AC circuit, then the circuit is : JEE Main 2022 (Online) 25th June Morning Shift Match List-I with List-II. .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;border-style:sol... JEE Main 2022 (Online) 25th June Morning Shift The electromagnetic waves travel in a medium at a speed of 2.0$$\times$$108 m/s. The relative permeability of the medi... JEE Main 2022 (Online) 25th June Evening Shift A sinusoidal voltage V(t) = 210 sin 3000 t volt is applied to a series LCR circuit in which L = 10 mH, C = 25$$\mu$$F a... JEE Main 2022 (Online) 25th June Evening Shift Two coils of self inductance L1 and L2 are connected in series combination having mutual inductance of the coils as M. T... JEE Main 2022 (Online) 26th June Evening Shift If Electric field intensity of a uniform plane electromagnetic wave is given as$$E = - 301.6\sin (kz - \omega t){\wide...
JEE Main 2022 (Online) 26th June Morning Shift
The magnetic flux through a coil perpendicular to its plane is varying according to the relation $$\phi = (5{t^3} + 4{t... JEE Main 2022 (Online) 26th June Morning Shift The current flowing through an ac circuit is given by I = 5 sin(120$$\pi$$t)A How long will the current take to reach th... JEE Main 2022 (Online) 27th June Morning Shift Given below are two statements : Statement I : A time varying electric field is a source of changing magnetic field and ... JEE Main 2022 (Online) 27th June Evening Shift If L, C and R are the self inductance, capacitance and resistance respectively, which of the following does not have the... JEE Main 2022 (Online) 27th June Evening Shift An EM wave propagating in x-direction has a wavelength of 8 mm. The electric field vibrating y-direction has maximum mag... JEE Main 2022 (Online) 28th June Evening Shift For a series LCR circuit, I vs$$\omega$$curve is shown : (a) To the left of$$\omega$$r, the circuit is mainly capacit... JEE Main 2022 (Online) 29th June Morning Shift For the given circuit the current i through the battery when the key in closed and the steady state has been reached is ... JEE Main 2021 (Online) 1st September Evening Shift Statement - I :To get a steady dc output from the pulsating voltage received from a full wave rectifier we can connect a... JEE Main 2021 (Online) 31st August Evening Shift In an ac circuit, an inductor, a capacitor and a resistor are connected in series with XL = R = XC. Impedance of this ci... JEE Main 2021 (Online) 31st August Morning Shift A small square loop of side 'a' and one turn is placed inside a larger square loop of side b and one turn (b &gt;&gt; a)... JEE Main 2021 (Online) 31st August Morning Shift Electric field in a plane electromagnetic wave is given by E = 50 sin(500x$$-$$10$$\times$$1010 t) V/m The velocity ... JEE Main 2021 (Online) 27th August Morning Shift In the given circuit the AC source has$$\omega$$= 100 rad s-1. Considering the inductor and capacitor to be ideal, wha... JEE Main 2021 (Online) 26th August Evening Shift A series LCR circuit driven by 300 V at a frequency of 50 Hz contains a resistance R = 3 k$$\Omega$$, an inductor of ind... JEE Main 2021 (Online) 26th August Morning Shift An inductor coil stores 64 J of magnetic field energy and dissipates energy at the rate of 640 W when a current of 8A is... JEE Main 2021 (Online) 26th August Morning Shift A 100$$\Omega$$resistance, a 0.1$$\mu$$F capacitor and an inductor are connected in series across a 250 V supply at va... JEE Main 2021 (Online) 27th July Evening Shift A 0.07 H inductor and a 12$$\Omega$$resistor are connected in series to a 220V, 50 Hz ac source. The approximate curren... JEE Main 2021 (Online) 27th July Morning Shift A 10$$\Omega$$resistance is connected across 220V$$-$$50 Hz AC supply. The time taken by the current to change from ... JEE Main 2021 (Online) 25th July Evening Shift Match List - I with List - II List - I List - II (a)$$\omega L &gt; {1 \over {\om...
JEE Main 2021 (Online) 22th July Evening Shift
In a circuit consisting of a capacitance and a generator with alternating emf Eg = Eg0 sin$$\omega$$t, VC and IC are the...
JEE Main 2021 (Online) 22th July Evening Shift
For a series LCR circuit with R = 100 $$\Omega$$, L = 0.5 mH and C = 0.1 pF connected across 220V$$-$$50 Hz AC supply, t...
JEE Main 2021 (Online) 20th July Evening 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 time taken for the magnetic energy to reach 25% of its maximum value, when a solenoid of resistance R, inductance L ...
JEE Main 2021 (Online) 18th March Evening Shift
In a series LCR circuit, the inductive reactance (XL) is 10$$\Omega$$ and the capacitive reactance (XC) is 4$$\Omega$$. ...
JEE Main 2021 (Online) 18th March Evening Shift
An AC source rated 220 V, 50 Hz is connected to a resistor. The time taken by the current to change from its maximum to ...
JEE Main 2021 (Online) 18th March Morning Shift
In a series LCR resonance circuit, if we change the resistance only, from a lower to higher value :
JEE Main 2021 (Online) 18th March Morning Shift
What happens to the inductive reactance and the current in a purely inductive circuit if the frequency is halved?
JEE Main 2021 (Online) 17th March Evening Shift
Match List - I with List - II List - I List - II (a) Phase difference between curr...
JEE Main 2021 (Online) 17th March Evening Shift
An AC current is given by I = I1 sin$$\omega$$t + I2 cos$$\omega$$t. A hot wire ammeter will give a reading :...
JEE Main 2021 (Online) 17th March Morning Shift
For the given circuit, comment on the type of transformer used....
JEE Main 2021 (Online) 16th March Evening Shift
An RC circuit as shown in the figure is driven by a AC source generating a square wave. The output wave pattern monitore...
JEE Main 2021 (Online) 16th March Morning Shift
Find the peak current and resonant frequency of the following circuit (as shown in figure)....
JEE Main 2021 (Online) 26th February Evening Shift
An alternating current is given by the equation i = i1 sin $$\omega$$t + i2 cos $$\omega$$t. The rms current will be :...
JEE Main 2021 (Online) 26th February Morning Shift
Match List I with List II. List I List II (a) Rectifier (i) Used either fo...
JEE Main 2021 (Online) 25th February Evening Shift
An LCR circuit contains resistance of 110$$\Omega$$ and a supply of 220 V at 300 rad/s angular frequency. If only capaci...
JEE Main 2021 (Online) 25th February Evening Shift
The current (i) at time t = 0 and t = $$\infty$$ respectively for the given circuit is :...
JEE Main 2021 (Online) 25th February Morning Slot
The angular frequency of alternating current in a L-C-R circuit is 100 rad/s. The components connected are shown in the ...
JEE Main 2021 (Online) 25th February Morning Slot
Figure shows a circuit that contains four identical resistors with resistance R = 2.0$$\Omega$$, two identical inductors...
JEE Main 2021 (Online) 24th February Evening Slot
An AC circuit has R= 100 $$\Omega$$, C = 2 $$\mu$$F and L = 80 mH, connected in series. The quality factor of the circ...
JEE Main 2020 (Online) 6th September Morning Slot
A series L-R circuit is connected to a battery of emf V. If the circuit is switched on at t = 0, then the time at which ...
JEE Main 2020 (Online) 4th September Evening Slot
Choose the correct option relating wave lengths of different parts of electromagnetic wave spectrum:
JEE Main 2020 (Online) 4th September Morning Slot
The electric field of a plane electromagnetic wave propagating along the x direction in vacuum is $$\overrightarrow E =... JEE Main 2020 (Online) 3rd September Evening Slot A 750 Hz, 20 V (rms) source is connected to a resistance of 100$$\Omega $$, an inductance of 0.1803 H and a capacitance... JEE Main 2020 (Online) 3rd September Morning Slot The magnetic field of a plane electromagnetic wave is$$\overrightarrow B = 3 \times {10^{ - 8}}\sin \left[ {200\pi \le...
JEE Main 2020 (Online) 3rd September Morning Slot
An inductance coil has a reactance of 100 $$\Omega$$. When an AC signal of frequency 1000 Hz is applied to the coil, th...
JEE Main 2020 (Online) 2nd September Evening Slot
In a plane electromagnetic wave, the directions of electric field and magnetic field are represented by $$\widehat k$$ a...
JEE Main 2020 (Online) 2nd September Evening Slot
A plane electromagnetic wave, has frequency of 2.0 $$\times$$ 1010 Hz and its energy density is 1.02 $$\times$$ 10–8...
JEE Main 2020 (Online) 2nd September Morning 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
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
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
A LCR circuit behaves like a damped harmonic oscillator. Comparing it with a physical spring-mass damped oscillator havi...
JEE Main 2020 (Online) 7th January Morning Slot
A long solenoid of radius R carries a time (t) - dependent current I(t)=I0t(1 - t). A ring of radius 2R is placed coaxia...
JEE Main 2020 (Online) 7th January Morning Slot
Consider a circular coil of wire carrying constant current I, forming a magnetic dipole. The magnetic flux through an in...
JEE Main 2020 (Online) 7th January Morning Slot
A plane electromagnetic wave having a frequency v = 23.9 GHz propagates along the positive z-direction in free space. 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
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
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
The electric field of a plane electromagnetic wave is given by $$\overrightarrow E = {E_0}\widehat i\cos (kz)cos(\omega... JEE Main 2019 (Online) 10th April Morning Slot A very long solenoid of radius R is carrying current I(t) = kte–at(k &gt; 0), as a function of time (t$$ \ge $$0). cou... JEE Main 2019 (Online) 9th April Evening Slot The total number of turns and cross-section area in a solenoid is fixed. However, its length L is varied by adjusting th... JEE Main 2019 (Online) 9th April Morning Slot A circuit connected to an ac source of emf e = e0sin(100t) with t in seconds, gives a phase difference of$$\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 $$. The t... JEE Main 2019 (Online) 8th April Morning Slot A 20 Henry inductor coil is connected to a 10 ohm resistance in series as shown in figure. The time at which rate of dis... JEE Main 2019 (Online) 8th April Morning Slot In the above circuit, C =$${{\sqrt 3 } \over 2}\mu $$F, R2 = 20$$\Omega $$, L =$${{\sqrt 3 } \over {10}}$$H and ... JEE Main 2019 (Online) 12th January Evening Slot A paramagnetic material has 1028 atoms/m3. Its magnetic susceptibility at temperature 350 K is 2.8$$ \times $$10–4. It... JEE Main 2019 (Online) 12th January Evening Slot A 10 m long horizontal wire extends from North East to South West. It is falling with a speed of 5.0 ms–1, at right angl... JEE Main 2019 (Online) 12th January Evening Slot A 27 mW laser beam has a cross-sectional area of 10 mm2. The magnitude of the maximum electric field in this electromagn... JEE Main 2019 (Online) 11th January Evening Slot A paramagnetic substance in the form of a cube with sides 1 cm has a magnetic dipole moment of 20$$ \times $$10–6 J/ T... JEE Main 2019 (Online) 11th January Evening Slot An electromagnetic wave of intensity 50 Wm–2 enters in a medium of refractive index 'n' without any loss. The ratio of t... JEE Main 2019 (Online) 11th January Morning Slot The electric field of a plane polarized electromagnetic wave in free space at time t = 0 is given by an expression$$\ov...
JEE Main 2019 (Online) 10th January Evening Slot
The self induced emf of a coil is 25 volts. When the current in it is changed at uniform rate from 10 A to 25 A in 1s, t...
JEE Main 2019 (Online) 10th January Evening Slot
If the magnetic field of a plane electromagnetic wave is given by (the speed of light = 3 × 108 B = 100 × 10–6 sin $$\l... JEE Main 2019 (Online) 10th January Morning Slot A series AC circuit containing an inductor (20 mH), a capacitor (120$$\mu $$F) and a resistor (60$$\Omega $$) is drive... JEE Main 2019 (Online) 9th January Evening Slot A power transmission line feeds input power at 2300 V to a srep down transformer with its primary windings having 4000 t... JEE Main 2019 (Online) 9th January Evening Slot A coil of cross-sectional area A having n turns is placed in a uniform magnetic field B. When it is rotated with an angu... JEE Main 2018 (Online) 16th April Morning Slot A plane electromagnetic wave of wavelength$$\lambda $$has an intensity I. It is propagatting along the positive Y-dir... JEE Main 2018 (Online) 16th April Morning Slot A power transmission line feeds input power at 2300 V to a step down transformer with its primary windings having 4000 t... JEE Main 2018 (Online) 16th April Morning Slot A plane polarized monochromatic EM wave is traveling in vacuum along z direction such that at t = t1 it is found that th... JEE Main 2018 (Online) 15th April Evening Slot At the center of a fixed large circular coil of radius R, a much smaller circular coil of radius r is placed. The two co... JEE Main 2018 (Online) 15th April Evening Slot A copper rod of mass m slides under gravity on two smooth parallel rails, with separation l and set at an angle of$$\t...
JEE Main 2018 (Online) 15th April Evening Slot
An ideal capacitor of capacitance $$0.2\,\mu F$$ is charged to a potential difference of $$10$$ $$V.$$ The charging batt...
JEE Main 2018 (Online) 15th April Morning Slot
A monochromatic beam of light has a frequency $$v = {3 \over {2\pi }} \times {10^{12}}Hz$$ and is propagating along the ...
JEE Main 2018 (Online) 15th April Morning Slot
An EM wave from air enters a medium. The electric fields are $$\overrightarrow {{E_1}}$$ = $${E_{01}}\widehat x\cos \le... JEE Main 2018 (Offline) For an RLC circuit driven with voltage of amplitude vm and frequency$${\omega _0}$$=$${1 \over {\sqrt {LC} }}$$the c... JEE Main 2018 (Offline) In an a.c. circuit, the instantaneous e.m.f. and current are given by e = 100 sin 30 t i = 20 sin$$\left( {30t - {\pi ...
JEE Main 2018 (Offline)
The electric field component of a monochromatic radiation is given by $$\overrightarrow E$$ = 2 E0 $$\widehat i$$ cos k...
JEE Main 2017 (Online) 9th April Morning Slot
A sinusoidal voltage of peak value 283 V and angular frequency 320/s is applied to a series LCR circuit. Given that R=5 ...
JEE Main 2017 (Online) 9th April Morning Slot
A small circular loop of wire of radius a is located at the centre of a much larger circular wire loop of radius b. The ...
JEE Main 2017 (Online) 8th April Morning Slot
In a coil of resistance 100 $$\Omega$$, a current is induced by changing the magnetic flux through it as shown in the f...
JEE Main 2017 (Offline)
An arc lamp requires a direct current of 10 A at 80 V to function. If it is connected to a 220 V (rms), 50 Hz AC supply,...
JEE Main 2016 (Offline)
Consider an electromagnetic wave propagating in vacuum. Choose the correct statement :
JEE Main 2016 (Online) 10th April Morning Slot
A conducting metal circular-wire-loop of radius r is placed perpendicular to a magnetic field which varies with time as ...
JEE Main 2016 (Online) 10th April Morning Slot
A series LR circuit is connected to a voltage source with V(t) = V0 sin$$\Omega$$t. After very large time, current I(...
JEE Main 2016 (Online) 9th April Morning Slot
Microwave oven acts on the principle of :
JEE Main 2016 (Online) 9th April Morning Slot
A red $$LED$$ emits light at $$0.1$$ watt uniformly around it. The amplitude of the electric field of the light at a dis...
JEE Main 2015 (Offline)
An inductor $$(L=0.03$$ $$H)$$ and a resistor $$\left( {R = 0.15\,k\Omega } \right)$$ are connected in series to a batte...
JEE Main 2015 (Offline)
An $$LCR$$ circuit is equivalent to a damped pendulum. In an $$LCR$$ circuit the capacitor is charged to $${Q_0}$$ and t...
JEE Main 2015 (Offline)
An arc lamp requires a direct current of $$10$$ $$A$$ at $$80$$ $$V$$ to function. If it is connected to a $$220$$ $$V$$...
JEE Main 2015 (Offline)
Two coaxial solenoids of different radius carry current $$I$$ in the same direction. $$\overrightarrow {{F_1}}$$ be the...
JEE Main 2015 (Offline)
Match List - $$1$$ (Electromagnetic wave type ) with List - $$2$$ (Its association/application) and select the correct ...
JEE Main 2014 (Offline)
During the propagation of electromagnetic waves in a medium:
JEE Main 2014 (Offline)
In the circuit shown here, the point $$'C'$$ is kept connected to point $$'A'$$ till the current flowing through the ci...
JEE Main 2014 (Offline)
The magnetic field in a travelling electromagnetic wave has a peak value of $$20$$ $$n$$$$T$$. The peak value of electri...
JEE Main 2013 (Offline)
In an $$LCR$$ circuit as shown below both switches are open initially. Now switch $${S_1}$$ is closed, $${S_2}$$ kept op...
JEE Main 2013 (Offline)
A metallic rod of length $$'\ell '$$ is tied to a string of length $$2$$$$\ell$$ and made to rotate with angular speed...
JEE Main 2013 (Offline)
A circular loop of radius $$0.3$$ $$cm$$ lies center of the small loop is on the axis of the bigger loop. The distance b...
JEE Main 2013 (Offline)
A coil is suspended in a uniform magnetic field, with the plane of the coil parallel to the magnetic lines of force. Whe...
AIEEE 2012
A resistor $$'R'$$ and $$2\mu F$$ capacitor in series is connected through a switch to $$200$$ $$V$$ direct supply. Acro...
AIEEE 2011
A boat is moving due east in a region where the earth's magnetic fields is $$5.0 \times {10^{ - 5}}$$ $$N{A^{ - 1}}\,{m^... AIEEE 2011 A fully charged capacitor$$C$$with initial charge$${q_0}$$is connected to a coil of self inductance$$L$$at$$t=0.$... AIEEE 2011 In the circuit shown below, the key $$K$$ is closed at $$t=0.$$ The current through the battery is ... AIEEE 2010 A rectangular loop has a sliding connector $$PQ$$ of length $$l$$ and resistance $$R$$ $$\Omega$$ and it is moving with... AIEEE 2010 In a series $$LCR$$ circuit $$R = 200\Omega$$ and the voltage and the frequency of the main supply is $$220V$$ and $$50... AIEEE 2010 An inductor of inductance$$L=400mH$$and resistors of resistance$${R_1} = 2\Omega $$and$${R_2} = 2\Omega $$are... AIEEE 2009 Two coaxial solenoids are made by winding thin insulated wire over a pipe of cross-sectional area$$A=10\,\,c{m^2}$...
AIEEE 2008
In an $$a.c.$$ circuit the voltage applied is $$E = {E_0}\,\sin \,\omega t.$$ The resulting current in the circuit is $$... AIEEE 2007 An ideal coil of$$10H$$is connected in series with a resistance of$$5\Omega $$and a battery of$$5V$$.$$2$$second ... AIEEE 2007 The$$rms$$value of the electric field of the light coming from the Sun is$$720N/C.$$The average total energy de... AIEEE 2006 An inductor$$(L=100mH)$$, a resistor$$\left( {R = 100\,\Omega } \right)$$and a battery$$\left( {E = 100V} \righ...
AIEEE 2006
The flux linked with a coil at any instant $$'t'$$ is given by $$\phi = 10{t^2} - 50t + 250$$ The induced $$emf$$ at ...
AIEEE 2006
In a series resonant $$LCR$$ circuit, the voltage across $$R$$ is $$100$$ volts and $$R = 1\,k\Omega$$ with $$C = 2\mu ... AIEEE 2006 In an$$AC$$generator, a coil with$$N$$turns, all of the same area$$A$$and total resistance$$R,$$rotates with fre... AIEEE 2006 Which of the following units denotes the dimension$${{M{L^2}} \over {{Q^2}}}$$, where$$Q$$denotes the electric charge... AIEEE 2006 One conducting$$U$$tube can slide inside another as shown in figure, maintaining electrical contacts between the tubes... AIEEE 2005 A coil of inductance$$300mH$$and resistance$$2\,\Omega $$is connected to a source of voltage$$2V$$. The c... AIEEE 2005 A circuit has a resistance of$$12ohm$$and an impedance of$$15ohm$$. The power factor of the circuit will be... AIEEE 2005 The phase difference between the alternating current and$$emf$$is$${\pi \over 2}.$$Which of the following cannot be... AIEEE 2005 The self inductance of the motor of an electric fan is$$10H$$. In order to impart maximum power at$$50Hz$$, ... AIEEE 2005 A metal conductor of length$$1m$$rotates vertically about one of its ends at angular velocity$$5$$radians per ... AIEEE 2004 In a$$LCR$$circuit capacitance is changed from$$C$$to$$2C$$. For the resonant frequency to remain unchaged, th... AIEEE 2004 In a uniform magnetic field of induction$$B$$a wire in the form of a semicircle of radius$$r$$rotates about the diam... AIEEE 2004 A coil having$$n$$turns and resistance$$R\Omega $$is connected with a galvanometer of resistance$$4R\Omega .$$This... AIEEE 2004 Alternating current can not be measured by$$D.C.$$ammeter because AIEEE 2004 In an$$LCR$$series$$a.c.$$circuit, the voltage across each of the components,$$L,C$$and$$R$$is$$50V$$. The volt... AIEEE 2004 The core of any transformer is laminated so as to AIEEE 2003 In an oscillating$$LC$$circuit the maximum charge on the capacitor is$$Q$$. The charge on the capacitor when the ener... AIEEE 2003 When the current changes from$$ + 2A$$to$$-2A$$in$$0.05$$second, an$$e.m.f.$$of$$8V$$is inducted in a coi... AIEEE 2003 Two coils are placed close to each other. The mutual inductance of the pair of coils depends upon AIEEE 2003 Which of the following are not electromagnetic waves? AIEEE 2002 The inductance between$$A$$and$$D$$is ... AIEEE 2002 A conducting square loop of side$$L$$and resistance$$R$$moves in its plane with a uniform velocity$$v$$perpendicul... AIEEE 2002 In a transformer, number of turns in the primary coil are$$140$$and that in the secondary coil are$$280.$$If current... AIEEE 2002 The power factor of$$AC$$circuit having resistance$$(R)$$and inductance$$(L) connected in series and an angular v...
AIEEE 2002

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