Question

Consider a simple pendulum, having a bob attached to a string , that oscillates under the action of the force of gravity. Suppose

that the period of oscillation of pendulum depends on- (i) mass of the bob

(ii) length of the pendulum

(iii ) acceleration due to gravity at the place.​

Answer 1

Explanation:

Let

<br> where k is dimensionless constant and a,b,c, <br> are the respecitve dimensious, Writing the <br> dimensions on both sides of (i), we get <br>

<br>

<br> Equating the dimensious of M,L and T on both <br> sides, we get <br>

<br>

<br> From (i),

<br> By other methods, we find

<br>

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