Gauss’s Law and its Applications NEET Questions

Gauss’s Law and its Applications MCQ Questions

13.
The flux through the curved surface of a cylindrical Gaussian surface (length L, radius r) coaxial with an infinite line charge of linear density λ is:
A.
Zero
B.
λ/(2πε₀r)
C.
λL/(2ε₀)
D.
λL/ε₀
ANSWER :
D. λL/ε₀
14.
Two long parallel wires having linear charge densities λ₁ and λ₂ are separated by distance d. The electric field at a point midway between them is:
A.
(λ₁ + λ₂)/(πε₀d)
B.
(λ₁ + λ₂)/(2πε₀d)
C.
(λ₁ - λ₂)/(πε₀d)
D.
Zero always
ANSWER :
C. (λ₁ - λ₂)/(πε₀d)
15.
An infinite line charge of linear density 2 × 10⁻⁹ C/m is placed along the z-axis. The electric field at the point (3, 4, 0) m is:
A.
1.8 N/C
B.
3.6 N/C
C.
7.2 N/C
D.
14.4 N/C
ANSWER :
C. 7.2 N/C
16.
The expression E = λ/(2πε₀r) for the electric field due to an infinite line charge assumes:
A.
End effects are not negligible
B.
The medium is a conductor
C.
The wire has finite length
D.
The wire is infinitely long (or end effects are negligible)
ANSWER :
D. The wire is infinitely long (or end effects are negligible)
17.
If the charge per unit length on a long wire is doubled and the perpendicular distance is also doubled, the electric field at that point:
A.
Becomes one-fourth
B.
Becomes 4 times
C.
Becomes half
D.
Remains the same
ANSWER :
D. Remains the same
18.
The electric field due to an infinite plane sheet of charge with uniform surface charge density σ is:
A.
σ/(4πε₀)
B.
σ/(2ε₀)
C.
σ/ε₀
D.
2σ/ε₀
ANSWER :
B. σ/(2ε₀)