23
In a potentiometer circuit a cell of EMF 1.5 V gives balance point at 36 cm length of wire. If another cell of EMF 2.5 V replaces the first cell, then at what length of the wire, the balance point occurs?
24
The effective resistance of a parallel connection that consists of four wires of equal length, equal area of cross-section and same material is 0.25$$\Omega$$. What will be the effective resistance if they are connected in series?
27
A resistance wire connected in the left gap of a metre bridge balances a 10 $$\Omega $$
resistance in the right gap at a point which divides the bridge wire in the ratio 3:2. If the length of the resistance wire is 1.5 m, then the length of 1 $$\Omega $$ of the resistance wire is :
29
A charged particle having drift velocity 7.5$$ \times $$10-4 ms-1 in an electric field of 3$$ \times $$10-10 Vm-1 has a mobility in m2 V-1s-1 of :
30
Which of the following graph represents the variation of resistivity ($$\rho $$) with temperature (T) for copper?
31
The solids which have the negative temperature coefficient of resistance are :
33
Which of the following acts as a circuit protection device?
35
A carbon resistor of (47 $$ \pm $$ 4.7) k$$\Omega $$ is to be marked
with rings of different colours for its identification.
The colour code sequence will be
36
A battery consists of a variable number n of
identical cells (having internal resistance r each)
which are connected in series. The terminals
of the battery are short-circuited and the current
I is measured. Which of the graphs shows the
correct relationship between I and n?
37
A set of n equal resistors, of value R each, are
connected in series to a battery of emf E and
internal resistance R. The current drawn is I. Now,
the n resistors are connected in parallel to the
same battery. Then the current drawn from battery
becomes 10I. The value of n is
38
A potentiometer is an accurate and versatile device to make electrical measurements of EMF because the method involves
39
The resistance of a wire is 'R' ohm. If it is melted and stretched to 'n' times its original length. its new resistance will be
40
A filament bulb (500 W, 100 V) is to be used in a 230 V main supply. When a resistance R is connected in series, it works perfectly and the bulb consumes 500 W. The value of R is
42
The charge flowing through a resistance R varies with time t is Q = at $$-$$ bt2, where $$a$$ and $$b$$ are positive constants. The total heat produced in R is
43
A potentiometer wire is 100 cm long and a constant potential difference is maintained across it. Two cells are connected in series first to support one another and then in opposite direction. The balance points are obtained at 50 cm and 10 cm from the positive end of the wire in the two cases. The ratio of emf's is
44
A potentiometer wire of length L and a resistance r are connected in series with a battery of e.m.f. E0 and a resistance r1. An unknown e.m.f. E is balanced at a length $$l$$ of the potentiometer wire. The e.m.f. E will be given by
45
A circuit contains an ammeter, a battery of 30 V and a resistance 40.8 ohm all connected in series. If the ammeter has a coil of resistance 480 ohm and a shunt of 20 ohm, the reading in the ammeter will be
46
Two metal wires of identical dimensions are connected in series. If $$\sigma $$1 and $$\sigma $$2 are the conductivity of the combination is
47
A potentiometer wire has length 4 m and resistance 8 $$\Omega $$. The resistance that must be connected in series with the wire and an accumulator of e.m.f. 2 V, so as to get a potential gradient 1 mV per cm on the wire is
AIPMT 2015 Cancelled Paper
49
Across a metallic conductor of non-uniform cross section a constant potential difference is applied. The quantity which remains constant along the conductor is
AIPMT 2015 Cancelled Paper
50
Two cities are 150 km apart. Electric power is sent from one city to another city through copper wires. The fall of potential per km is 8 volt and the average resistance per km is 0.5 $$\Omega $$. The power loss in the wire is
52
A potentiometer circuit has been set up for finding the internal resistance of a given cell. The main battery, used across the potentiometer wire, has an emf of 2.0 V and a negligible internal resistance. The potentiometer wire itself is 4 m long. When the resistance R, connected across the given cell, has values of (i) infinity, (ii) 9.5 $$\Omega $$
the balancing lengths on the potentiometer wire are found to be 3 m and 2.85 m, respectively. The value of internal resistance of the cell is
53
Ten identical cells connected in series are needed to heat a wire of length one meter and radius 'r' by 10oC in time 't'. How many cells will be required to heat the wire of length two meter of the same radius by the same temperature in time 't' ?
56
A wire of resistance 4 $$\Omega $$ is stretched to twice its original length. The resistance of stretched wire would be
57
The internal resistance of a 2.1 V cell which gives a current of 0.2 A through a resistance of 10 $$\Omega $$ is
58
The resistances of the four arms P, Q, R and S in a Wheatstone's bridge are 10 ohm, 30 ohm, 30 ohm and 90 ohm, respectively. The e.m.f. and internal resistance of the cell are 7 volt and 5 ohm respectively. If the galvanometer resistance is 50 ohm, the current drawn from the celll will be
59
A cell having an emf $$\varepsilon $$ and internal resistance r is connected across a variable external resistance R. As the resistance R is increased, the plot of potential difference V across R is given by
61
If voltage across a bulb rated 220 volt-100 watt drops by 2.5% of its rated value, the percentage of the rated value by which the power would decrease is
64
A thermocouple of negligible resistance
produces an e.m.f. of 40 µV/ºC in the linear range
of temperature. A galvanometer of resistance 10
ohm whose sensitivity is 1 µA/division, is
employed with the thermocouple. The smallest
value of temperature difference that can be
detected by the system will be
66
A current of 2 A flows through a 2 $$\Omega $$ resistor when connected across a battery a 2 $$\Omega $$ resistor when connected across a battery. The same battery supplies a current of 0.5 A when connected across a 9 $$\Omega $$ resistor. The internal resistance of the battery is
69
Consider the following two statements.
(A) Kirchoff's junction law follows from the conservation of charge.
(B) Kirchhoff's loop law follows from the conservation of energy.
Which of the following is correct?
70
A student measures the terminal potential difference (V) of a cell (of emf $$\varepsilon $$ and internal resistance r) as a function of the current (I) flowing through it. The slope, and intercept, of the graph between V and I, then respectively, equal
71
The mean free path of electrons in a metal is 4 $$ \times $$ 10$$-$$8 m. The electric field which can give on an average 2 eV energy to an electron in the metal will be in units V/m
75
A wire of a certain material is stretched slowly by ten percent. Its new resistance and specific resistance become respectively
76
An electric kettle takes 4 A current at 220 V. How much time will it take to boil 1 kg of water from temperature 20oC ? The temperature of boiling water is 100oC
78
A cell can be balanced against 110 cm and 100 cm of potentiometer wire, respectively with and without being short circuited through a resistance of 10 $$\Omega $$. Its internal resistance is
80
Three resistances, P, Q, R each of 2$$\Omega $$ and an unknown resistance S from the four arms of a Wheatstone bridge circuit. When a resistance of 6 $$\Omega $$ is connected in parallel to S the bridge gets balanced. What is the value of S?
82
Two cells, having the same e.m.f. are connected in series through an external resistance R. Cells have internal resistances r1 and r2 (r1 > r2) respectively. When the circuit is closed, the potential difference across the first cell is zero. The value of R is
83
Kirchoff's first and second laws of electrical circuits are consequences of
85
A 5-ampere fuse wire can withstand a maximum power of 1 watt in the circuit. The resistance of the fuse wire is
87
When a wire of uniform cross-section $$a$$ length $$l$$ and resistance R is bent into a complete circle. resistance between any two of diametrically opposite points will be
89
when three identical bulbs of 60 watt, 200 volt rating are connected in series to a 200 volt supply, the power drawn by them will be
91
The electric resistance of a certain wire of iron is R. If its length and radius are both doubled, then
92
In India electricity is supplied for domestic use at 220 V. It is supplied at 110 V in USA. If the resistance of a 60 W bulb for use in India is R, the resistance of a 60 W bulb for use in USA will be
93
Resistance n, each of r ohm, when connected in parallel give an equivalent resistance of R ohm. If these resistances were connected in series, the combination would have a resistance in ohms, equal to
94
A 6 volt battery is connected to the terminals of a three metre long wire of uniform thickness and resistance of 100 ohm. The difference of potential between two points on the wire separated by a distance of 50 cm will be
95
An electric kettle has two heating coils. When one of the coils is connected to an a.c. source, the water in the kettle boils in 10 minutes. When the other coil is used the water boils in 40 minutes. If both the coils are connected in parallel, the time taken by the same quantity of water to boil will be
96
In a Wheatstone's bridge all the four arms have equal resistance R. If the resistance of the galvanometer arm is also R, the equivalent resistance of the combination as seen by the battery is
98
Two 220 volt, 100 watt bulbs are connected first in series and then in parallel. Each time the combination is connected to a 220 volt a.c. supply line. The power drawn by the combination in each case respectively will be
99
Specific resistance of a conductor increases with
100
For a cell terminal potential difference is 2.2V when circuit is open and reduce to 1.8 V when cell is connected to a resistance of R = 5 $$\Omega $$. Determine internal resistance of cell (r)
101
If specific resistance of a potentiometer wire is 10-7$$\Omega $$ m and current flow through it is 0.1 amp., cross-sectional area of wire is 10$$-$$6 m2 then potential gradient will be
102
Copper and silicon is cooled from 300 K to 60 K , the specific resistance
103
The resistance of each arm of the Wheatstone's bridge is 10 ohm. A resistance of 10 ohm is connected in series with a galvanometer then the equivalent resistance across the battery will be
104
The potentiometer is best for measuring voltage, as
105
Two bulbs of (40 W, 200 V), and (100 W, 200 V). Then correct relation for their resistances
106
A car battery of emf 12 V and internal resistance $$5 \times {10^{ - 2}}$$ $$\Omega $$., receives a current of 60 amp, from external source, then terminal potential difference of battery is