A force F is given by F = at + bt^(2) , ...

A force `F` is given by `F = at + bt^(2)` , where `t` is time . What are the dimensions of `a and b`?

A

`MLT^(-3) and ML^(2)T^(-4)`

B

`MLT^(-3) and MLT^(-4)`

C

`MLT^(-1) and MLT^(0)`

D

`MLT^(4) and MLT^(1)`

Verified by Experts

The correct Answer is:

B

`F = at +bt^2`
`[at] = [MLT^(-2)] implies [a] = [MLT^(-3)]`
`[bt]^2 = [MLT^(-2)] implies [b] = [MLT^(-4)]`

Similar Questions

Explore conceptually related problems

A force F is given by F = at+ bt^(2) , where t is time. The dimensions of a and b are

A force is given by F= at + bt^(2) where , t is the time .The dimensione of a and b are

Velocity v is given by v=at^(2)+bt+c , where t is time. What are the dimensions of a, b and c respectively?

If the force is given by F=at+bt^(2) with t is time. The dimensions of a and b are

Given is the relation of force F with time, F=a+bt . What are the dimensions of a and b?

If force (F) is given by F = Pt^(-1) + alpha t, where t is time. The unit of P is same as that of