Electric Current (Drift Velocity, Mobility and their Relation with Electric Current) NEET Questions

Electric Current (Drift Velocity, Mobility and their Relation with Electric Current)

Electric Current (Drift Velocity, Mobility and their Relation with Electric Current) MCQ Questions

13.
A current of 4.8 A is flowing in a copper wire of cross-sectional area 3 × 10⁻⁴ m². If the free electron density in copper is 10²⁹ m⁻³, the drift velocity of electrons is:
A.
1 × 10⁻⁴ m/s
B.
1 × 10⁻³ m/s
C.
1 × 10⁻⁶ m/s
D.
1 × 10⁻⁵ m/s
ANSWER :
C. 1 × 10⁻⁶ m/s
14.
The drift velocity of electrons in a wire of radius r is v_d. If both the current and radius are doubled, then the drift velocity becomes:
A.
v_d
B.
v_d/2
C.
4v_d
D.
2v_d
ANSWER :
B. v_d/2
15.
Two wires A and B of same material and same length but radii in ratio 1:2 are connected in series. The ratio of drift velocities of electrons in A and B is:
A.
1:2
B.
4:1
C.
1:1
D.
2:1
ANSWER :
B. 4:1
16.
Two wires of same material and same length but different cross-sectional areas A₁ and A₂ are joined in parallel across a battery. The ratio of drift velocities of electrons in them is:
A.
A₁²:A₂²
B.
1:1
C.
A₂:A₁
D.
A₁:A₂
ANSWER :
B. 1:1
17.
The relaxation time τ of free electrons in a metal having resistivity ρ, mass m, charge e and number density n is:
A.
ne²ρ/m
B.
ne/(mρ)
C.
mρ/(ne²)
D.
m/(ne²ρ)
ANSWER :
D. m/(ne²ρ)
18.
The current density at a point in a conductor is 5 A/m². If the number density of free electrons is 8 × 10²⁸ m⁻³, the drift velocity is:
A.
6.25 × 10¹⁸ m/s
B.
3.9 × 10⁻⁸ m/s
C.
1.6 × 10⁻¹⁹ m/s
D.
3.9 × 10⁻¹⁰ m/s
ANSWER :
D. 3.9 × 10⁻¹⁰ m/s