The weight of a body on a planet is 100 N. If planet's radius is half and density same as Earth, weight becomes MCQ with Answer and Explanation

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The weight of a body on a planet is 100 N. If planet's radius is half and density same as Earth, weight becomes

A. 25 N

B. 100 N

C. 50 N

D. 200 N

Answer: Option C

Solution (By JKExamLibrary)

g = GM/R² = G (ρ 4/3 π R³)/R² ∝ ρ R. If radius half, density same, g becomes half. Weight half = 50 N.

This question belongs to: Science Physics

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Which of the following pairs of physical quantities has the same dimensions?

A. Force and Power

B. Momentum and Kinetic Energy

C. Angular Momentum and Planck's Constant

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Correct Answer: Option C

Explanation:
Angular momentum (L = mvr) has dimensions [ML²T⁻¹]. Planck's constant (h = E/ν) also has dimensions [ML²T⁻¹]. They share the same dimensional formula. Force is [MLT⁻²], Power is [ML²T⁻³], Momentum is [MLT⁻¹], and Strain is a dimensionless quantity [M⁰L⁰T⁰]. This is a frequent exam question.

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Which famous physicist correctly formulated the laws of electromagnetic induction mathematically, later synthesizing all known electromagnetic phenomena into four fundamental equations?

A. André-Marie Ampère

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C. Heinrich Hertz

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Correct Answer: Option D

Explanation:
While Faraday performed the groundbreaking experimental work discovering electromagnetic induction, it was James Clerk Maxwell who formalized these discoveries mathematically. Maxwell's equations (a set of four differential equations) elegantly united electricity, magnetism, and optics, proving theoretically that light itself is a propagating electromagnetic wave.

This question belongs to: Science Physics