Question

1. Convert 1 Joule into erg. 2. Derive an expression for time period (t) of a simple pendulum. Which may depend upon mass of bob (m), Length of pendulum (1) and acceleration due to gravity (€). 3. Find formula of mass in terms of force, length and time. 4. Give the name of fundamental forces and explain in shortly. 5. Find the relative error of the time peryod of simple pendulum. The readings tum out to be 2.63 s, 2.56 s, 2.42 s, 2.71 s, and 2.80 s.​

Answer 1

Answer:

Answer is:

Explanation:

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,