JEE Mains · Physics · STD 11 - 1. units,dimensions and measurement
Match List-I with List-II.
| List-I | List-II |
|---|---|
| A. Meter (L) | I. \(\sqrt{\dfrac{hc}{G}}\) |
| B. Second (S) | II. \(\sqrt{\dfrac{Gh}{c^5}}\) |
| C. Kilogram (M) | III. \(\sqrt{\dfrac{K^2L^2c^3}{Gh}}\) |
| D. Kelvin (K) | IV. \(\sqrt{\dfrac{Gh}{c^3}}\) |
where \(h\) (Planck's constant), \(G\) (gravitational constant) and \(c\) (speed of light in vacuum) as fundamental units.
Choose the correct answer from the options given below :
- A A-II, B-IV, C-I, D-III
- B A-IV, B-II, C-I, D-III
- C A-IV, B-I, C-II, D-III
- D A-III, B-I, C-II, D-IV
Answer & Solution
Correct Answer
(B) A-IV, B-II, C-I, D-III
Step-by-step Solution
Detailed explanation
The dimensional formulas for the given fundamental constants are: \([h] = M L^2 T^{-1}\) \([c] = L T^{-1}\) \([G] = M^{-1} L^3 T^{-2}\) Evaluating the dimensions of the expressions in List-II: For I:…
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