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Mechanical Properties Of Fluids

Question
CBSEENPH11020209

Answer the following: 

(a) Time period of a particle in SHM depends on the force constant and mass of the particle: T = 2 straight pi space square root of straight m over straight k end root
A simple pendulum executes SHM approximately. Why then is the time period of a pendulum independent of the mass of the pendulum?

Solution
For a simple pendulum, force constant or spring factor k is proportional to mass m, therefore, m cancels out in the denominator as well as in numerator. That is why the time period of a simple pendulum is independent of the mass of the bob.