Question

The velocity of a particle (v) at an instant 't' is given by v = at + bt^2. The dimension of b is
a) [L]
b) [LT^-1]
c) [LT^-2]
d) [LT^-3]

Hola amigos, can you por favor answer this question and explain why you got that answer? Gracias!

Answer 1

dimension of velocity = dimension of b × dimension of t^2
LT^-1 = (dimension of b ) ×T^2
LT^-3 = dimension of b
hence option d is correct

Answer 2

Compare the dimensions of v with that of bt^2

As we know that only quantities with same dimensions can be added and subtracted and they to give the same dimensions, sorry for the bad hand writing though