Coulomb’s Law (Forces Between Two Point Charges, Forces Between Multiple Charges... ) NEET Questions

Coulomb’s Law (Forces Between Two Point Charges, Forces Between Multiple Charges... ) MCQ Questions

1.
Coulomb's law gives the electrostatic force between two point charges q₁ and q₂ separated by distance r in vacuum as:
A.
F = (1/4πε₀) × |q₁q₂|/r³ — inverse cube dependence
B.
F = (1/4πε₀) × |q₁q₂|/r — inverse first-power dependence
C.
F = (1/4πε₀) × |q₁q₂|/r² — force is proportional to the product of charges and inversely proportional to the square of the distance
D.
F = (1/4πε₀) × |q₁ + q₂|/r² — depends on sum of charges
ANSWER :
C. F = (1/4πε₀) × |q₁q₂|/r² — force is proportional to the product of charges and inversely proportional to the square of the distance
2.
The value of the constant k in Coulomb's law F = k|q₁q₂|/r² in SI units is approximately:
A.
k ≈ 9 × 10⁻⁹ N m² C⁻²
B.
k ≈ 9 × 10⁹ N m² C⁻²
C.
k ≈ 8.85 × 10⁻¹² N m² C⁻²
D.
k ≈ 6.67 × 10⁻¹¹ N m² C⁻²
ANSWER :
B. k ≈ 9 × 10⁹ N m² C⁻²
3.
The SI unit of electric charge is the coulomb (C). One coulomb is defined as:
A.
The charge equal to the magnitude of charge on 1 mole of protons
B.
The charge flowing through a wire in 1 second when the current is 1 ampere (1C = 1 A·s)
C.
The charge on 10¹⁹ electrons
D.
The charge that experiences a force of 1 N when placed 1 m from an equal charge
ANSWER :
B. The charge flowing through a wire in 1 second when the current is 1 ampere (1C = 1 A·s)
4.
The value of the permittivity of free space ε₀ in SI units is:
A.
ε₀ = 9 × 10⁹ C² N⁻¹ m⁻²
B.
ε₀ = 8.854 × 10¹² C² N⁻¹ m⁻²
C.
ε₀ = 8.854 × 10⁻¹² C² N⁻¹ m⁻²
D.
ε₀ = 1.6 × 10⁻¹⁹ C² N⁻¹ m⁻²
ANSWER :
C. ε₀ = 8.854 × 10⁻¹² C² N⁻¹ m⁻²
5.
The force between two point charges q₁ = 2 × 10⁻⁷ C and q₂ = 3 × 10⁻⁷ C placed 30 cm apart in air is:
A.
F = 6 × 10⁻³ N (attractive)
B.
F = 9 × 10⁻³ N (repulsive)
C.
F = 6 × 10⁻³ N (repulsive)
D.
F = 2 × 10⁻³ N (repulsive)
ANSWER :
C. F = 6 × 10⁻³ N (repulsive)
6.
Two identical metallic spheres A and B carry charges q and q' respectively. When an identical uncharged sphere C touches A, then C is removed and brought in contact with B. After all operations, the charges on A and B are:
A.
A has q/2; B has (q/2 + q')/2 = (q + 2q')/4
B.
A has q/2; B has q'/2
C.
A has q; B has q' (no change)
D.
A has q/2; B has q'
ANSWER :
A. A has q/2; B has (q/2 + q')/2 = (q + 2q')/4