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Q. 14.16 (a)  Answer the following questions :

(a) Time period of a particle in SHM depends on the force constant k and mass m of the particle:

                        T=2\pi \sqrt{\frac{m}{k}}.    A simple pendulum executes SHM approximately. Why then is the time period of a pendulum independent of the mass of the pendulum?

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In case of spring, the spring constant is independent of the mass attached whereas in case of a pendulum k is proportional to m making k/m constant and thus the time period comes out to be independent of the mass of the body attached.

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