NEETPhysicsUnits and Dimensions
Match List I with List II List I List II A Torque I kg m – 1 s – 2 B Energy density II kg m s – 1 C Pressure gradient III kg m – 2 s – 2 D Impulse IV kg m 2 s – 2 Choose the correct answer from the options given below :
Options
- AA-IV, B-III, C-I, D-II
- BA-I, B-IV, C-III, D-II
- CA-IV, B-I, C-II, D-III
- DA-IV, B-I, C-III, D-II
Correct answer
D. A-IV, B-I, C-III, D-II
Step-by-step solution
Unit of force is written as, kg m s - 2 . Now, torque can be written as, τ = F s therefore its unit can be written as kg m 2 s – 2 . Pressure is given by, P = F A , therefore unit of pressure will be kg m - 1 s - 2 . Now, pressure gradient is given by ratio of pressure and distance, so its unit will be kg m - 2 s - 2 . Impulse is given by product of force and time, so its unit will be kg m s - 1 . As we know unit of torque and energy is the same, therefore energy density can written as = energy volume = kg m - 1 s