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,

Please find below the solution to the asked query:

Here, the given relation is,

P=αβ e-βt
Here, in exponent, the term should be unit less. Therefore,


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

αβ=ML2T-3  α=βML2T-3  α=M0L0T-1ML2T-3  α=ML2T-4 


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