Question Detail
Question
The velocity of a body moving in viscous medium is given as v = At + B, where t is time, A and B are constants. Then the dimensions of A and B are:
Correct Answer
Option C is the correct answer.
Detailed Explanation
v has dimensions LT⁻¹. In v = At + B, each term must have same dimension. So [At] = LT⁻¹ → [A] = LT⁻¹ / T = LT⁻². [B] = LT⁻¹ (same as v). So A has dimensions LT⁻², B has LT⁻¹. The option given matches A's dimension (M⁰L¹T⁻²).
Hint
Use dimensional homogeneity: each term in an equation must have the same dimension.