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Match List I with List II List-I A. Torque B. Stress C. Pressure gradient D. Coefficient of viscosity List-II I. ML^-2T^-2 II. ML^2T^-2 III. ML^-1T^-2 IV. ML^-1T^-1 Choose the correct answer from the options given below:
- A-II, B-I, C-IV, D-III
- A-IV, B-II, C-III, D-I
- A-II, B-IV, C-I, D-III
- A-III, B-IV, C-I, D-II
Correct answer: A-II, B-IV, C-I, D-III
Solution
The correct matches are based on the dimensional analysis of each term: Torque (A) has dimensions of ML^2T^-2, Stress (B) is defined as force per unit area, giving it dimensions of ML^-1T^-2, Pressure gradient (C) is the change in pressure per unit length, resulting in dimensions of ML^-1T^-2, and Coefficient of viscosity (D) relates to the internal friction in fluids, which has dimensions of ML^-1T^-1.
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