Question

The speed v of a body is given by the equation v=At^3-Bt. Where t is time . What are the dimensions of A and B??

Answer 1

[a] = [LT^-4] and

[b] = [LT^-2]

Explanation:

Given,

speed ,V = at^3-bt

dimension of a = ?

dimension of b =?

From the dimensional analysis we can understand that the dimension of both the quantities should be same. Then only they can be added or subtracted.

Therefore the dimension of at^3 = bt = V

» [at^3] = [V]

0r [a] [T^3] = [LT^-1]

Or, [a] = [LT^-4]

similarly,

[bt] = [V]

» [b][T] = [LT^-1]

» [b] = [LT^-2]

Also refer :

https://brainly.in/question/6241598