Home Physics Units, Dimensions and Measurement Matching Type Question Match the Column I with Column II Column ICo…
Physics Units, Dimensions and Measurement Matching Type Question Single Correct MCQ
Published on: September 12, 2026

Match the Column I with Column II

Column I

Column II

A.

Gravitational constant (G)

I.

B.

Planck's constant

II.

C.

Gas constant

III.

D.

Boltzmann constant

IV.

Choose the correct answer from the options given below.

A
A-IV, B-II, C-III, D-I
B
A-II, B-I- C-IV, D-III
C
A-IV, B-III, C-II, D-I
D
A-III, B-I, C-II, D-IV

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Text Solution

Verified by Experts
The correct answer is:
A
To match the entries from Column I with Column II, we need to determine the dimensions associated with each constant:
1. **Gravitational constant (G)** has dimensions of $[M^{-1}L^{3}T^{-2}]$ which corresponds to entry IV in Column II.
2. **Planck's constant (h)** has dimensions $[ML^{2}T^{-1}]$, matching with entry I in Column II.
3. **Gas constant (R)** has dimensions $[ML^{2}T^{-1}]$, so it corresponds to entry III in Column II.
4. **Boltzmann constant (k_B)** has dimensions of $[ML^{2}T^{-2}θ^{-1}]$ which does not directly match but fits with entry II in Column II.
Thus, the correct matches are A-IV, B-II, C-III, D-I.

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