JEE Main 2025 · 3 April · morning · Single correct · +4 / −1
Match the LIST-I with LIST-II
Choose the correct answer from the options given below:
| List - I | List - II | ||
|---|---|---|---|
| A. | Gravitational constant | I. | [LT⁻²] |
| B. | Gravitational potential energy | II. | [L² T⁻²] |
| C. | Gravitational potential | III. | [ML² T⁻²] |
| D. | Acceleration due to gravity | IV. | [M⁻¹ L³ T⁻²] |
- (a) A-IV, B-III, C-II, D-I
- (b) A-II, B-IV, C-III, D-I
- (c) A-I, B-III, C-IV, D-II
- (d) A-III, B-II, C-I, D-IV
Answer and solution
Answer (a) A-IV, B-III, C-II, D-I
Solution
Physics sir · 2 steps
Start from a formula you know for each quantity, and its dimensions follow in one line.
- Pick the formulas. Use F = Gm₁m₂/r² for G, U = -GMm/r for potential energy, V = U/m for potential, and g = F/m for acceleration due to gravity.
G = Fr²/m₁m₂ = [MLT⁻²][L²]/[M²] = [M⁻¹L³T⁻²]
Quantity Reasoning Dimensions Match A. G force × distance² / mass² [M⁻¹L³T⁻²] IV B. Potential energy an energy, same as work [ML²T⁻²] III C. Potential energy per unit mass [L²T⁻²] II D. g an acceleration [LT⁻²] I - So. The matching is A-IV, B-III, C-II, D-I, which is option (a).
The idea to keep. Potential is always potential energy divided by something. Gravitational potential is energy per unit mass, so remove one M from [ML²T⁻²] to get [L²T⁻²].
Answer from the NTA final answer key. Solution by PrepWiser.