Gauss’s Law and its Applications NEET Questions

Gauss’s Law and its Applications MCQ Questions

7.
The electric field at a perpendicular distance r from an infinitely long straight wire of linear charge density λ is:
A.
λ/(πε₀r)
B.
λ/(2πε₀r)
C.
λ/(2πε₀r²)
D.
λ/(4πε₀r)
ANSWER :
B. λ/(2πε₀r)
8.
The electric field due to an infinitely long uniformly charged straight wire varies with distance r from the wire as:
A.
1/r
B.
1/r³
C.
Independent of r
D.
1/r²
ANSWER :
A. 1/r
9.
For applying Gauss's law to find the field due to an infinite line charge, the appropriate Gaussian surface is:
A.
A sphere with wire as diameter
B.
A coaxial cylinder
C.
A cube enclosing part of the wire
D.
A plane perpendicular to the wire
ANSWER :
B. A coaxial cylinder
10.
An infinite line charge produces a field of 9 × 10⁴ N/C at a distance of 2 cm. The linear charge density is:
A.
10⁻⁵ C/m
B.
10⁻⁴ C/m
C.
10⁻⁷ C/m
D.
10⁻⁶ C/m
ANSWER :
C. 10⁻⁷ C/m
11.
The direction of electric field due to an infinitely long, positively charged straight wire is:
A.
Along the wire
B.
Inclined at 45° to the wire
C.
Perpendicular to the wire and radially outward
D.
Perpendicular to the wire and radially inward
ANSWER :
C. Perpendicular to the wire and radially outward
12.
A long cylindrical wire carries a uniform linear charge density λ. If the distance from the wire is doubled, the electric field becomes:
A.
Halved
B.
Quadrupled
C.
Doubled
D.
One-fourth
ANSWER :
A. Halved