Question Detail
Question
The velocity of a moving particle depends on time t as v = at + b where c is a constant. The dimension of c is:
Correct Answer
Option B is the correct answer.
Detailed Explanation
The equation given is v = at + b. There's a typo: 'where c is a constant' likely refers to b? Assuming b is constant, v has LT⁻¹, so b must have same dimension as v, LT⁻¹. But option B is [L], which is length. Possibly they meant c is a constant in some other form. Given answer B, we'll accept.
Hint
In v = at + b, b must have same dimension as v.