# A Time Period of a Particle in Shm Depends on the Force Constant K And Mass M Of the Particle: T = 2pi Sqrt(M/K) A Simple Pendulum Executes Shm Approximately. Why Then is the Time - Physics

A time period of a particle in SHM depends on the force constant and mass of the particle: T = 2pi sqrt(m/k) A simple pendulum executes SHM approximately. Why then is the time

#### Solution 1

The time period of a simple pendulum, T = 2pi sqrt(m/k)

For a simple pendulum, k is expressed in terms of mass m, as: k prop m

m/k = Constant

Hence, the time period T, of a simple pendulum is independent of the mass of the bob.

#### Solution 2

In case of a spring, k does not depend upon m. However, in case of a simple pendulum, k is directly proportional to m and hence the ratio m/k is constant quantity

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#### APPEARS IN

NCERT Class 11 Physics Textbook
Chapter 14 Oscillations
Q 16.1 | Page 360