Current Electricity Questions and Answers Part-4

1. 5 amperes of current is passed through a metallic conductor. The charge flowing in one minute in coulombs will be
a) 5
b) 12
c) 1/2
d) 300

Answer: d
Explanation:
q31

2.Two wires of the same material are given. The first wire is twice as long as the second and has twice the diameter of the second. The resistance of the first will be
a) Twice of the second
b) Half of the second
c) Equal to the second
d) Four times of the second

Answer: b
Explanation:
q32

3.An electric wire is connected across a cell of e.m.f. E. The current I is measured by an ammeter of resistance R. According to ohm's law
a) \[E=I^{2}R\]
b) \[E=IR\]
c) \[E=R/I\]
d) \[E=I/R\]

Answer: b
Explanation: \[E=IR\]

4. The resistances of a wire at temperatures \[t^{\circ}C\]  and \[0^{\circ}C\]  are related by
a) \[R_{t}=R_{0}\left(1+\alpha t\right)\]
b) \[R_{t}=R_{0}\left(1-\alpha t\right)\]
c) \[R_{t}=R_0^2\left(1+\alpha t\right)\]
d) \[R_{t}=R_0^2\left(1-\alpha t\right)\]

Answer: a
Explanation: \[R_{t}=R_{0}\left(1+\alpha t\right)\]

5. An electric wire of length ‘I’ and area of crosssection a has a resistance R ohms. Another wire of the same material having same length and area of cross-section 4a has a resistance of
a) 4 R
b) R/4
c) R/16
d) 16 R

Answer: b
Explanation:
q35
q35a

6.For which of the following the resistance decreases on increasing the temperature
a) Copper
b) Tungsten
c) Germanium
d) Aluminium

Answer: c
Explanation: For semiconductors, resistance decreases on increasing the temperature.

7. If \[n,e,\tau\]   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
a) \[\frac{ml}{ne^{2}\tau A}\]
b) \[\frac{m\tau^{2} A}{ne^{2}l}\]
c) \[\frac{ne^{2}\tau A}{2ml}\]
d) \[\frac{ne^{2} A}{2m\tau l}\]

Answer: a
Explanation:
q37

8. The relaxation time in conductors
a) Increases with the increase of temperature
b) Decreases with the increase of temperature
c) It does not depend on temperature
d) All of sudden changes at 400 K

Answer: b
Explanation:
q38

9. Which of the following statement is correct
a) Liquids obey fully the ohm's law
b) Liquids obey partially the ohm's law
c) There is no relation between current and p.d. for liquids
d) None of the above

Answer: b
Explanation: In VI graph, we will not get a straight line in case of liquids.

10.The resistance of a wire is 10 Ω . Its length is increased by 10% by stretching. The new resistance will now be
a) 12 Ω
b) 1.2 Ω
c) 13 Ω
d) 11 Ω

Answer: a
Explanation:
q40