# Power delivered by a force is given by relation P = (alpha/beta)e^-beta × t. t = time. Find dimensional formula for alpha and beta.

Dear Student,

Here, the given relation is,

Here, in exponent, the term should be unit less. Therefore,

$\left[\beta \right]=\left[{M}^{0}{L}^{0}{T}^{-1}\right]$

And, the ratio of alpha and beta should have the dimensions of power. Therefore,