The dimensional formula of Planck's constant is identical to that of: MCQ with Answer and Explanation

The dimensional formula of Planck's constant is identical to that of:
A. Torque
B. Force
C. Linear momentum
D. Angular momentum
Answer: Option D
Solution (By JKExamLibrary)
Planck's constant (h) has dimensions [ML²T⁻¹]. Angular momentum (L = mvr) has dimensions [M][LT⁻¹][L] = [ML²T⁻¹], matching exactly. Linear momentum is [MLT⁻¹], force is [MLT⁻²], and torque is [ML²T⁻²]. This dimensional equivalence is fundamental in quantum mechanics, linking wave-particle duality. Memory tip: Both represent 'action' quantities with identical dimensional structure. This concept frequently appears in competitive exams testing dimensional analysis skills.

Discuss this Question (0)

No comments yet. Be the first to start the discussion!

Practice More Physics Questions

Question #1
Radioactive decay to 1/32 initial: number of half-lives:
A. 3
B. 6
C. 5
D. 4

Correct Answer: Option C


Explanation:
(1/2)ⁿ = 1/32 ⇒ 2ⁿ = 32 ⇒ n = 5 half-lives. Exponential decay calculation. Memory aid: '1/2ⁿ remaining; 1/32 = 1/2⁵ ⇒ 5 half-lives'. Radioactivity arithmetic frequently tested in competitive exams.

This question belongs to: Science Physics
Question #2
Nuclear fission involves:
A. Splitting heavy nuclei
B. Capture of orbital electrons
C. Emission of electrons from nucleus
D. Combining light nuclei

Correct Answer: Option A


Explanation:
Nuclear fission is the splitting of a heavy nucleus (e.g., uranium-235, plutonium-239) into lighter nuclei, releasing energy and neutrons. This process powers nuclear reactors and atomic bombs. Fusion combines light nuclei (e.g., hydrogen to helium), powering stars. Memory aid: 'Fission = splitting heavy; Fusion = joining light'. This conceptual question tests understanding of nuclear reactions, frequently examined in competitive exams. Always link fission to chain reactions (neutrons induce further fissions) and critical mass concepts.

This question belongs to: Science Physics
Question #3
The mirror used as rear-view mirror in vehicles is
A. Plane mirror
B. Convex mirror
C. Parabolic mirror
D. Concave mirror

Correct Answer: Option B


Explanation:
Convex mirror gives wider field of view, always forms virtual, erect, diminished image. Allows driver to see larger area. Concave can magnify but field narrow. Plane gives normal view but limited field.

This question belongs to: Science Physics