Question

The position (x) of a particle depends on its velocity(v) and time(t) as given by the relation x=Pv+Q/P+t. Find the dimensions of PQ.

Answer 1

By principle of homogeneity,
Dimension of T = Dimension of Pv
[ T] = [ P] * [ LT^-2]
[ T] / [ LT ^-2] = P
[L^-1 T ^3] = P

Dimension of T = Dimension of Q/P
[ T] = [ Q] / [ L^-1 T ^3]
[ T] *[ L^-1 T ^3] = Q
[ L^-1 T ^4] = Q

Answer 2

Answer:

Please refer to the attachment.

Hope this helps!

@Shailene