JEE Mains · Physics · STD 11 - 1. units,dimensions and measurement
Match the LIST-I with LIST-II
| LIST-I | LIST-II |
| (A) Gravitational constant | (I) \(\left[\mathrm{LT}^{-2}\right]\) |
| (B) Gravitational potential energy | (II) \(\left[\mathrm{L}^2 \mathrm{~T}^{-2}\right]\) |
| (C) Gravitational potential | (III) \(\left[\mathrm{ML}^2 \mathrm{~T}^{-2}\right]\) |
| (D) Acceleration due to gravity | (IV) \(\left[\mathrm{M}^{-1} \mathrm{~L}^3 \mathrm{~T}^{-2}\right]\) |
- A A-IV, B-III, C-II, D-I
- B A-III, B-II, C-I, D-IV
- C A-II, B-IV, C-III, D-I
- D A-I, B-III, C-IV, D-II
Answer & Solution
Correct Answer
(A) A-IV, B-III, C-II, D-I
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \text { (A) } \mathrm{G}=\frac{\mathrm{Fr}^2}{\mathrm{~m}^2} \\ & {[\mathrm{G}]=\frac{\left[\mathrm{MLT}^{-2}\right]\left[\mathrm{L}^2\right]}{\left[\mathrm{M}^2\right]}=\left[\mathrm{M}^{-1} \mathrm{~L}^3 \mathrm{~T}^{-2}\right](\mathrm{IV})} \end{aligned}\)…
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