Question

Q(6) Time period of oscillation of the simple pendulum depends on its length
(l), mass of the bab(m) and acceleration due to gravity (g) Derive the
expression for its time period using method of dimensions.​

Answer 1

Solution :

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>