JEE Main20253 Apr 2025Morning ShiftPhysicsUnits and DimensionsActual
Match the List-I with List-II array |l|l|l|l| & List-I & & List-II A. & Gravitational constant & I. & [ LT ⁻² ] B. & array l Gravitational potential energy array & II. & [ L ^2 ~T ⁻² ] C. & Gravitational potential & III. & [ ML ^2 ~T ⁻² ] D. & array l Acceleration due to gravity array & IV. & [ M ⁻¹ ~L ^3 ~T ⁻² ] array Choose the correct answer from the options given below :
Options
- AA-IV, B-III, C-II, D-I
- BA-III, B-II, C-I, D-IV
- CA-II, B-IV, C-III, D-I
- DA-I, B-III, C-IV, D-II
Correct answer
A. A-IV, B-III, C-II, D-I
Step-by-step solution
aligned & (A) G = Fr ^2 ~m ^2 & [ G ]= [ MLT ⁻² ] [ L ^2 ] [ M ^2 ] = [ M ⁻¹ ~L ^3 ~T ⁻² ]( IV ) aligned (B) aligned & P.E. = mgh = [ MLT ⁻² ~L ] & = [ ML ^2 ~T ⁻² ] (III) aligned (C) Gravitational Potential = GM r = [ M ⁻¹ ~L ^3 ~T ⁻² ][ M ] [ L ] = [ M ^0 ~L ^2 ~T ⁻² ]= [ L ^2 ~T ⁻² ]( II ) (D) Acceleration due to gravity =[ g ]= [ LT ⁻² ]( I )