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

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

7.
An electric current is passing through a conductor. If the radius of the conductor is doubled keeping the current constant, the drift velocity of electrons will become:
A.
One-fourth
B.
Four times
C.
Half
D.
Two times
ANSWER :
A. One-fourth
8.
The relation between drift velocity v_d, relaxation time τ, electric field E, and mass m of electron is:
A.
v_d = eτ/(mE)
B.
v_d = mE/(eτ)
C.
v_d = eEτ/m
D.
v_d = eE/(mτ)
ANSWER :
C. v_d = eEτ/m
9.
The current in a conductor varies with time t as I = 2t + 3t² where I is in ampere and t in seconds. The charge that flows through the conductor between t = 2 s and t = 3 s is:
A.
44 C
B.
33 C
C.
10 C
D.
24 C
ANSWER :
D. 24 C
10.
The drift velocity of electrons in a conductor depends on:
A.
Cross-sectional area only
B.
Length of conductor only
C.
Electric field applied
D.
Resistance of conductor only
ANSWER :
C. Electric field applied
11.
If n is the number density of free electrons, e is the electronic charge, τ is the relaxation time, and m is the mass of electron, then the conductivity σ of the metal is:
A.
m/(ne²τ)
B.
neτ/m
C.
ne²/(mτ)
D.
ne²τ/m
ANSWER :
D. ne²τ/m
12.
The mobility of electrons in a conductor is 5 × 10⁻⁶ m²/(V·s). If an electric field of 100 V/m is applied, the drift velocity is:
A.
5 × 10⁻⁸ m/s
B.
5 × 10⁻⁶ m/s
C.
2 × 10⁻⁴ m/s
D.
5 × 10⁻⁴ m/s
ANSWER :
D. 5 × 10⁻⁴ m/s