If a resistance coil is made by joining in parallel two resistances each of 20Ω. An emf of 2V is applied across this coil for 100 seconds. The heat produced in the coil is
20 J
10 J
40 J
80 J
Which of the following graphs correctly represents the variation of mobility μ of electrons with applied electric field (E) in a metallic conductor?
If I be the current limit of a fuse wire of length l and radius r, then select the appropriate relation
I α l
I α r2
I α l0
I α r0
The resistance of platinum wire at 0°C is 22.05 Ω and at 100°C it becomes 22.70 Ω. When the wire is heated to a temperature of t°C the resistance of wire becomes 24.91Ω. The value of t is
220
440
310
550
The sensitivity of a potentiometer can be increased by
increasing the potential gradient
decreasing the length of potentiometer wire
decreasing the current in the potentiometer wire
all of these
Masses of 3 wires of same metal are in the ratio 1 : 2 : 3 and their lengths are in the ratio 3 : 2 : 1. The electrical resistances are in ratio
1 : 4 : 9
9 : 4 : 1
1 : 2 : 3
27 : 6 : 1
A wire of radius r has resistance R. If it is stretched to a radius of 3r4, its resistance becomes
9R16
16R9
81R256
256R81
In the figure shown, the total resistance between A and B is
12 Ω
4 Ω
6 Ω
8 Ω
In the circuit shown in figure if power dissipated in 9Ω resistor is 144W, then potential difference across 3.6Ω resistor will be
36V
18V
9V
Zero
A current of 1 mA is flowing through a copper wire. How many electrons will pass a given point in one second e = 1.6 × 10-19 Coulomb
6.25 × 1019
6.25 × 1015
6.25 × 1031
6.25 × 108
The drift velocity of free electrons in a conductor is 'v' when a current 'i' is flowing in it. If both the radius and current are doubled, then drift velocity will be:
v
v2
v4
v8
A battery has e.m.f. 4V and internal resistance r. When this battery is connected to an external resistance of 2 ohms, a current of 1 amp. flows in the circuit. How much current will flow if the terminals of the battery are connected directly?
1 Amp
2 Amp
4 Amp
Infinite
The current I as shown in the circuit will be:
10 A
203 A
23 A
53 A
A meter bridge is set up to determine unknown resistance x using a standard 10 Ω resistor. The galvanometer shows the null point when the tapping key is at a 52 cm mark. End corrections are 1 cm and 2 cm respectively for end A and B. Then the value of x is
10.2Ω
10.6Ω
11.1Ω
10.8Ω
The resistivity of iron is 1 × 10–7 ohm – m. The resistance of iron wire of particular length and thickness is 1 ohm. If the length and the diameter of wire both are doubled, then the resistivity in ohm – m will be :
1 × 10–7
2 × 10–7
4 × 10–7
8 × 10–7
The resistivity of a wire :
Increases with the length of the wire
Decreases with the area of cross-section
Decreases with the length and increases with the cross-section of the wire
None of the above statement is correct
Drift velocity vd varies with the intensity of electric field as per the relation
vd∝E
vd∝1E
vd = constant
vd∝E2
In a conductor 4 coulombs of charge flows for 2 seconds. The value of electric current will be :
4 volts
4 amperes
2 amperes
2 volts
The specific resistance of a wire is ρ, its volume is 3 m3 and its resistance is 3 ohms, then its length will be
1ρ
3ρ
1ρ3
ρ13
When a piece of aluminum wire of finite length is drawn through a series of dies to reduce its diameter to half its original value, its resistance will become :
Two times
Four times
Eight times
Sixteen times
Through a semiconductor, an electric current is due to drift off:
Free electrons
Free electrons and holes
Positive and negative ions
Protons
A metallic block has no potential difference applied across it, then the mean velocity of free electron is (T = absolute temperature of the block):
proportional to T.
zero.
finite but independent of temperature.
The specific resistance of all metals is most affected by :
Temperature
Pressure
Degree of illumination
Applied magnetic field
The positive temperature coefficient of resistance is for :
Carbon
Germanium
Copper
An electrolyte
The electric intensity E, current density j and specific resistance k are related to each other by the relation :
E = jk
E = k/j
E = j/k
k = jE
The resistance of a wire of uniform diameter d and length L is R. The resistance of another wire of the same material but diameter 2d and length 4L will be :
2R
R
R/2
R/4
There is a current of 1.344 amp in a copper wire whose area of cross-section normal to the length of the wire is 1 mm2. If the number of free electrons per cm3 is 8.4 × 1022, then the drift velocity would be :
(1) 0 mm/sec
(2) 1.0 m/sec
(3) 0.1 mm/sec
(4) 0.01 mm/sec
An electric wire of length ‘I’ and area of cross-section a has a resistance R ohms. Another wire of the same material having the same length and area of cross-section 4a has a resistance of :
4R
R/16
16R
If n, e, τ and m respectively represent the density, charge relaxation time and mass of the electron, then the resistance of a wire of length l and area of cross-section A will be
mlne2τA
mτ2Ane2l
ne2τA2ml
ne2A2mτl
The relaxation time in conductors :
Increases with the increase in temperature
Decreases with the increase in temperature
It does not depend on the temperature
All of the sudden changes at 400 K
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