NEETPhysicsUnits and Dimensions
Match List I with List II List I List II A. Torque I. M L - 2 T - 2 B. Stress II. M L 2 T - 2 C. Pressure gradient III. M L - 1 T - 1 D. Coefficient of viscosity IV. M L - 1 T - 2 Choose the correct answer from the options given below :
Options
- AA-II, B-I, C-IV, D-III
- BA-IV, B-II, C-III, D-I
- CA-II, B-IV, C-I, D-III
- DA-III, B-IV, C-I, D-II
Correct answer
C. A-II, B-IV, C-I, D-III
Step-by-step solution
The dimensions of the quantities are as follows. F = M L T - 2 r = L v = L T - 1 A = L 2 The dimensional form of stress is same as pressure. Torque = Force × distance = ML 2 T - 2 Stress = Force Area = M L - 1 T - 2 Pressure Gradient = d p d x = ML - 2 T - 2 η = F 6 π r v = M L T - 2 L · LT - 1 = ML - 1 T - 1