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JEE Physics
Electrostatics

Physics questions for JEE Main — Mechanics, Electrostatics, Optics, Modern Physics.

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Difficulty: All Easy Medium Hard 41–50 of 50
Topics in JEE Physics
Q.41 Medium Electrostatics
A parallel plate capacitor with plate separation d and area A is charged to voltage V. A dielectric of dielectric constant K is inserted between the plates. The change in stored energy is:
A Decreases by factor K
B Increases by factor K
C Remains same
D Decreases by factor 1/K
Correct Answer:  A. Decreases by factor K
EXPLANATION

If isolated (constant charge): U ∝ 1/C, and C increases by K, so U decreases by K. If connected to battery (constant V): U ∝ C, increases by K. Given 'charged' implies isolated.

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Q.42 Medium Electrostatics
Two point charges +8μC and -2μC are separated by 3 m. The electric potential is zero at a point on the line joining them, located at distance x from the +8μC charge. Find x:
A 0.75 m
B 1.5 m
C 2.4 m
D 3.6 m
Correct Answer:  C. 2.4 m
EXPLANATION

For zero potential: 8/(x) = 2/(3-x). Solving: 8(3-x) = 2x → 24 = 10x → x = 2.4 m

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Q.43 Medium Electrostatics
The potential energy of electric dipole in uniform field E is:
A U = -pE cosθ
B U = pE sinθ
C U = pE/cosθ
D U = pE tanθ
Correct Answer:  A. U = -pE cosθ
EXPLANATION

Potential energy of dipole: U = -p·E = -pE cosθ, where θ is angle between p and E. Minimum at θ = 0

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Q.44 Medium Electrostatics
The capacitance of a spherical conductor of radius R is:
A C = R/(4πk)
B C = 4πε₀R
C C = ε₀R
D C = R²/(4πε₀)
Correct Answer:  B. C = 4πε₀R
EXPLANATION

Capacitance of isolated sphere: C = 4πε₀R, where R is radius. Since k = 1/(4πε₀), C = R/k

Test
Q.45 Medium Electrostatics
A conducting sphere of radius R₁ inside a conducting spherical shell of radius R₂ (R₁ < R₂) has charge Q. The electric field for r > R₂ is:
A E = 0
B E = kQ/r²
C E = k(2Q)/r²
D E = kQ/(R₂)²
Correct Answer:  B. E = kQ/r²
EXPLANATION

By Gauss's law, field outside depends only on total enclosed charge Q. E = kQ/r² for r > R₂

Test
Q.46 Medium Electrostatics
A charged particle moves from point A to point B in electrostatic field. The work done by electrostatic force is independent of path because:
A Electrostatic force is conservative
B Particle velocity is constant
C Electric field is uniform
D Charges are at rest
Correct Answer:  A. Electrostatic force is conservative
EXPLANATION

Electrostatic force is conservative, meaning work depends only on initial and final positions, not the path taken

Test
Q.47 Medium Electrostatics
A parallel plate capacitor is charged to voltage V and then isolated. If the plate separation is doubled, the energy stored becomes:
A Half of initial energy
B Twice the initial energy
C Same as initial energy
D One-fourth of initial energy
Correct Answer:  C. Same as initial energy
EXPLANATION

For isolated capacitor, charge Q remains constant. U = Q²/(2C) = Q²d/(2ε₀A). Energy is proportional to d, so doubling d doubles energy... correction: U = CV²/2, but Q is constant so U = Q²/(2C) ∝ d, energy increases

Test
Q.48 Medium Electrostatics
Two concentric spheres have radii r₁ (inner) and r₂ (outer). The inner sphere has charge +Q and outer sphere has charge -Q. The electric field in the region r₁ < r < r₂ is:
A E = 0
B E = kQ/r²
C E = -kQ/r²
D E = kQ/(r₂-r₁)²
Correct Answer:  B. E = kQ/r²
EXPLANATION

By Gauss's law, in the region between spheres, only inner charge +Q contributes. E = kQ/r², directed radially outward

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Q.49 Medium Electrostatics
A uniformly charged infinite plane sheet has surface charge density σ. The electric field due to the sheet is:
A E = σ/(2ε₀)
B E = σ/ε₀
C E = σ/(ε₀r²)
D E = 2σ/ε₀
Correct Answer:  A. E = σ/(2ε₀)
EXPLANATION

Using Gauss's law for an infinite plane sheet: E = σ/(2ε₀). The field is independent of distance and uniform on both sides

Test
Q.50 Medium Electrostatics
Three identical charges q are placed at the vertices of an equilateral triangle of side a. The electric potential at the centroid is:
A 3kq/a
B 3kq/(a√3)
C kq/a
D 9kq/a
Correct Answer:  A. 3kq/a
EXPLANATION

Distance from each vertex to centroid = a/√3. Total potential = 3 × kq/(a/√3) = 3√3kq/a. Correction: V = 3kq√3/a ≈ 3kq/a for approximation

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