Question

The volume of an object is given as a function of time by V = A + B t + C t4 . Find the dimension of the constant C

Answer 1

Answer:

The dimensions of constant C are of $[L^{3}T]^{-4}$

Step-by-step explanation:

It is given that

$V(t)=A+Bt+Ct^{3}$

Since the dimensions of volume are $[L^{3}]$

Each of the term shall have a dimension of $[L^{3}]$ since they are in addition.

Thus for third term we can write

Thus we have

$[L^{3}]=[C][T^{4}]\\\\\therefore [C]=[L^{3}][T^{-4}]$