The velocity v of a particle at time t is given by v =

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The velocity v of a particle at time t is given by v = at + b , where a, b and c are constant.
t + c
The dimensions of a, b and c are respectively

1. L², T and LT²
2. LT², LT and L
3. L, LT and T²
4. LT^{– 2}, L and T

Correct Option: D

Dimension of a. t = dimension of velocity
a .t = L T^-1 ⇒ a = LT^-2
Dimension of c = dimension of t
(two physical quantity of same dimension can only be added)
So, dimension of c = T

Dimension of	b	= Dimension of v
	t + c

	b	= L T^-1 ⇒ b.T^-1 = LT^-1 ⇒ b = L
	T + T

So, answer is LT^-2, L & T

The velocity v of a particle at time t is given by v = at +	b	, where a, b and c are constant.
	t + c