The dimensional formula of torque is the same as that of: MCQ with Answer and Explanation

The dimensional formula of torque is the same as that of:
A. Power
B. Momentum
C. Work
D. Force
Answer: Option C
Solution (By JKExamLibrary)
Torque τ = r × F, so dimensions [L][MLT⁻²] = [ML²T⁻²]. Work W = F·d, dimensions [MLT⁻²][L] = [ML²T⁻²], identical. Momentum is [MLT⁻¹], force [MLT⁻²], power [ML²T⁻³]. Though torque and work have same dimensions, they are physically distinct: torque is vector (rotational effect), work is scalar (energy transfer). Memory tip: 'Torque and work share [ML²T⁻²]; but torque = rF sinθ, work = Fd cosθ'. This dimensional analysis question tests ability to compare quantities, frequently appearing in competitive exams. Always verify dimensions but remember physical context differs.

This question belongs to: Science Physics

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C. V. Raman is known for his work on:
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B. Electromagnetic induction
C. Photoelectric effect
D. Raman effect (light scattering)

Correct Answer: Option D


Explanation:
Sir C. V. Raman discovered the Raman effect in 1928: inelastic scattering of photons by molecules, changing wavelength, providing information about molecular structure. He received the Nobel Prize in Physics in 1930. Photoelectric effect: Einstein; relativity: Einstein; electromagnetic induction: Faraday. Memory tip: 'Raman = scattering of light'. This scientist-discovery question tests knowledge of Indian contributions to physics, commonly featured in competitive exams. Always link Nobel laureates to their specific awarded work.

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The SI unit of charge is
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Correct Answer: Option C


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Question #3 Report Error
The time period of a simple pendulum is 2 s at a place where g=9.8 m/s². Its length is about
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Correct Answer: Option B


Explanation:
T=2π√(L/g) => L = gT²/(4π²) ≈ (9.8×4)/(4×9.87) ≈ 1 m.

This question belongs to: Science Physics