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A particle of mass m is located in a reg...

A particle of mass m is located in a region where its potential energy `[U(x)]` depends on the position x as potential Energy `[U(x)]=(a)/(x^2)-(b)/(x)` here a and b are positive constants…
(i) Write dimensional formula of a and b
(ii) If the time perios of oscillation which is calculated from above formula is stated by a student as `T=4piasqrt((ma)/(b^2))`, Check whether his answer is dimensionally correct.

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To solve the problem, we will break it down into two parts as stated in the question. ### Part (i): Finding the Dimensional Formula of a and b The potential energy \( U(x) \) is given by: \[ U(x) = \frac{a}{x^2} - \frac{b}{x} ...
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