JEE Main202325 Jan 2023Morning ShiftPhysicsUnits and DimensionsActual
Match List I with List II List - I List - II A Surface tension I. kg m - 1 s - 1 B Pressure II. kg m s - 1 C Viscosity III. kg m - 1 s - 2 D Impulse IV. kg s - 2 Choose the correct answer from the options given below:
Options
- AA-IV, B-III, C-II, D-I
- BA-IV, B-III, C-I, D-II
- CA-III, B-IV, C-I, D-II
- DA-II, B-I, C-III, D-IV
Correct answer
B. A-IV, B-III, C-I, D-II
Step-by-step solution
(A) Surface tension is related to force and length as S = F l = M L T - 2   L = M   T - 2 = kg   s - 2 (IV) (B) Pressure is related to force and area as P = F A = M L T - 2   L 2 = kg   m - 1   s - 2 (III) (C) Viscosity in terms of force, area and velocity gradient is given by η = F A d v d x = M L T - 2   L 2 L T - 1 L = M L - 1   T - 1 = kg   m - 1   s - 1 (I) (D) Impulse is related to force and time of application as J = ∫ F   dt = M L T - 2 ×