JEE Main202331 Jan 2023Evening ShiftPhysicsUnits and DimensionsActual
Match List I with List II List I List II A Angular momentum I ML 2 T - 2 B Torque II ML - 2 T - 2 C Stress III ML 2 T - 1 D Pressure gradient IV ML - 1 T - 2 Choose the correct answer from the options given below :
Options
- AA-I, B-IV, C-III, D-II
- BA-III, B-I, C-IV, D-II
- CA-II, B-III, C-IV, D-I
- DA-IV, B-II, C-I, D-III
Correct answer
B. A-III, B-I, C-IV, D-II
Step-by-step solution
As we know, angular momentum is given by, L → = r → × p → ⇒ L = M 0   L 1   T 0 M 1   L 1   T - 1 = M 1   L 2   T - 1 Torque is given by, τ → = r → × F → ⇒ τ = L 1 MLT - 2 = ML 2   T - 2 Also, Stress ≡ Pressure = F A Hence, [Stress] = ML - 1   T - 2 Pressure Gradient = d P d x Therefore, [Pressure Gradient] = ML - 2   T - 2