1.

The power delivered by a force is given by therelation PE 2-B, where t is time. Find theadimensional formula for a.

Answer»

Please find below the solution to the asked query:

Here, the given relation is,

P=(αβ)e−βtHere, in exponent, the term should be unit less. Therefore,

[β]=[M⁰L⁰T⁻¹]

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

[α/β]=[ML²T⁻³]⇒[α]=[β][ML²T⁻³]⇒[α]=[M⁰L⁰T⁻¹][ML²T⁻³]⇒[α]=[ML²T⁻⁴]



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