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. Momentum
B. Work
C. Power
D. Force
Answer: Option B
Solution (By JKSSB Mock Tests)
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.

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Practice More Physics Questions

Question #1
Diamagnetic material susceptibility χ is:
A. Large negative
B. Large positive
C. Small negative
D. Small positive

Correct Answer: Option C


Explanation:
Diamagnets: χ ≈ -10⁻⁵ (small negative), weakly repelled by magnetic fields. Paramagnets: small +χ; Ferromagnets: large +χ. Memory tip: 'Diamagnetic: χ < 0, weak repulsion'. Magnetism classification frequently tested in competitive exams.

This question belongs to: Science Physics
Question #2
A body travels first half distance at speed v₁ and second half at v₂. Average speed is:
A. 2v₁v₂/(v₁+v₂)
B. v₁v₂/(v₁+v₂)
C. √(v₁v₂)
D. (v₁+v₂)/2

Correct Answer: Option A


Explanation:
For equal distances: average speed = total distance/total time = 2d/(d/v₁ + d/v₂) = 2v₁v₂/(v₁+v₂). This is harmonic mean, not arithmetic. Memory tip: Equal distances ⇒ harmonic mean of speeds; equal times ⇒ arithmetic mean. Frequently tested kinematics concept distinguishing average speed calculation methods.

This question belongs to: Science Physics
Question #3
The dimensional formula of Planck's constant is same as that of
A. Linear momentum
B. Force
C. Energy
D. Angular momentum

Correct Answer: Option D


Explanation:
Planck's constant h = E/ν. Dimensions: [ML²T⁻²]/[T⁻¹] = [ML²T⁻¹]. Angular momentum = mvr = [ML²T⁻¹]. Linear momentum [MLT⁻¹], force [MLT⁻²], energy [ML²T⁻²]. So angular momentum matches. This is a frequently asked SSC question.

This question belongs to: Science Physics