Question

12) The period of oscillations
pendulum depends on.
simple
i) mass of the bob (m) in the length of string (1)
i acceleration due to gravity(g) in angular displacement (0)
117
Derive the expression for its time period using
the method of dimensions



please anyone help me​

Answer 1

Answer:

Let

where a, b, c are the dimensions. Or

<br> where k is dimensionless constant of proportionality. <br> Writing the dimensions in terms of M, L, T on either side of (4), we get <br>

<br> Applying the principle of homogeneity of dimensions, we get <br>

<br>

<br> From (5),

<br>

(4),

<br>

<br>

<br> Using other methoud, we calculate the value of dimensionless constant,

Answer 2

mass of the bob is the answer