Electric field due to point charge: E ∝ MCQ with Answer and Explanation

Electric field due to point charge: E ∝
A. r
B. 1/r
C. 1/r²
D. r²
Answer: Option C
Solution (By JKSSB Mock Tests)
Coulomb's law: E = kq/r² ⇒ E ∝ 1/r². Inverse square law fundamental to electrostatics and gravitation. Memory tip: 'Point charge field: inverse square; double distance ⇒ field becomes 1/4'. Electrostatics concept frequently tested in competitive exams.

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Question #1
The acceleration due to gravity on Earth's surface is g. At a height equal to Earth's radius above the surface, g' will be:
A. g/4
B. g/2
C. 2g
D. g/9

Correct Answer: Option A


Explanation:
Acceleration due to gravity at height h: g' = gR²/(R+h)², where R is Earth's radius. Given h = R, so g' = gR²/(2R)² = gR²/4R² = g/4. This inverse square law dependence arises from Newton's law of gravitation. At depth, variation differs, but for height, this formula applies. Memory aid: Double the distance from center ⇒ gravity becomes one-fourth. This standard result is frequently tested in gravitation sections of competitive exams. Always verify whether height or depth is specified, as formulas differ significantly.

This question belongs to: Science Physics
Question #2
In a nuclear reactor, heavy water is used as
A. Fuel
B. Control rod
C. Coolant
D. Moderator

Correct Answer: Option D


Explanation:
Heavy water (D₂O) slows neutrons, good moderator.

This question belongs to: Science Physics
Question #3
The device which converts AC to DC is called
A. Inverter
B. Rectifier
C. Oscillator
D. Transformer

Correct Answer: Option B


Explanation:
Rectifier (diode bridge) converts AC to DC. Inverter DC to AC. Transformer changes AC voltage level. Oscillator generates AC signal. Electronic devices often need DC.

This question belongs to: Science Physics