Question

the period of oscillation of a simple pendulum depends on mass, length of the thread and acceleration due to gravity. using dimensional analysis, derive a formula for the period of oscillation

Answer 1

Answer:

Let

<br> i.e.,

<br> i.e.,

<br> From the principle of homogeneity , equating the dimensions of M, L & T on either side we get <br>

<br> From (3)

, hence

<br> Therefore

<br> i.e.,

Explanation:

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