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Match List-I with List-II. List-I (a) Mass density (b) impulse (c) power (d) Moment of inertia List-II (i) [ML^-1T^-2] (ii) [MLT^-1] (iii) [ML^2T^-3] (iv) [ML^-3T^0] Choose the correct answer from the options given below :
- a(iv), b(ii), c(i), d(iii)
- a(i), b(ii), c(iv), d(ii)
- a(ii), b(iii), c(iv), d(i)
- a(iv), b(ii), c(iii), d(i)
Correct answer: a(iv), b(ii), c(i), d(iii)
Solution
The correct option matches each physical quantity with its appropriate dimensional formula: mass density is defined as mass per unit volume, hence [ML^-3T^0]; impulse, which is the product of force and time, has dimensions [MLT^-1]; power, the rate of doing work, is represented as [ML^2T^-3]; and moment of inertia, which relates to mass distribution, is given by [ML^2].
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