Question

The velocity v of a particle at time t is given by v = at + b/t + c, where a, b and c are constants, the dimensions of a, b and c are?​

Answer 1

Answer:

LT−2, L and T

L2, T and LT2

LT2, LT and L

L, LT and T2

Answer :

A

Solution :

[a]=[vt]=LT−1T=LT−2,[C]=[t]=T

[b]=[vt]=LT−1T=L

Step-by-step explanation:

Answer 2

Step-by-step explanation: v=at+b/t+c

We know that, Two entities can only be added if their dimensions are same,

so Dimensions of [at] = Dimensions of [b/t] = Dimensions of [c] = Dimensions of [v]

=> [aT] = [v] = [LT⁻¹]=> [a] = [LT⁻²] ,   Dimensions of [a]

=>[bT⁻¹] = [LT⁻¹]=> [b] = [L], Dimensions of [b]

=> [c] = [LT⁻¹] , Dimensions of [c]