Published by:
CGP EDU Academic Team
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.
Text Solution
Verified by ExpertsThe 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.
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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