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. Linear momentum
C. Angular momentum
D. Force
Answer: Option C
Solution (By JKSSB Mock Tests)
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.

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Practice More Physics Questions

Question #1
Which of the following is true for a geostationary satellite?
A. Its orbital period is 12 hours
B. Its orbit is at any altitude
C. It revolves opposite to Earth's rotation
D. It appears fixed relative to a point on Earth

Correct Answer: Option D


Explanation:
Geostationary satellite has orbital period equal to Earth's rotation (24 hours) and orbits in equatorial plane in same direction. It appears stationary from Earth's surface. Altitude about 36,000 km. Used for communication.

This question belongs to: Science Physics
Question #2
A wire of resistance 9 Ω is bent to form an equilateral triangle. The resistance across any two vertices is
A. 9 Ω
B. 2 Ω
C. 3 Ω
D. 6 Ω

Correct Answer: Option B


Explanation:
Total 9 Ω, each side 3 Ω. Across two vertices, one side is 3 Ω in parallel with series of two sides (3+3=6 Ω). Equivalent: (3×6)/(3+6) = 18/9 = 2 Ω. Triangle resistance network.

This question belongs to: Science Physics
Question #3
A body moves with uniform acceleration. The graph between velocity and time is:
A. Straight line parallel to time axis
B. Hyperbola
C. Straight line with positive slope
D. Parabola

Correct Answer: Option C


Explanation:
Uniform acceleration means constant rate of change of velocity: a = dv/dt = constant. Thus v = u + at, a linear equation in t. Graph is straight line with slope = acceleration. Parallel to time axis (A) implies zero acceleration (constant velocity). Parabola (C) is for position-time under constant acceleration. Memory tip: 'v-t graph slope = acceleration; area = displacement'. This graph interpretation question tests kinematics fundamentals, frequently examined in competitive exams. Always link graph features to physical quantities: slope, area, intercepts have specific meanings in motion graphs.

This question belongs to: Science Physics