Question Detail
Question
The velocity of a moving particle depends on time t as v = at + b/(t + c) where c is a constant, the dimension of b is:
Correct Answer
Option B is the correct answer.
Detailed Explanation
Velocity v has dimensions [LT⁻¹]. The term b/(t+c) must have dimensions of velocity, so [b]/[T] = [LT⁻¹] → [b] = [LT⁻¹] × [T] = [L].
Hint
Each term in an equation must have the same dimensions.