Question

Assertion: Pendulums are used in clocks. Reason: The pendulum completes one oscillation in different time intervals​

Answer 1

Answer:

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

(b) In the case of a simple pendulum, the restoring force acting on the bob of the pendulum is given as:

F=–mgsinθ

where,

F= Restoring force

m= Mass of the bob

g= Acceleration due to gravity

θ= Angle of displacement

For small θ,sinθ≃θ

For large θ, sinθ is greater than θ.

This decreases the effective value of g.

Hence, the time period increases as:

T=2πgl

(c) Yes, because the working of the wrist watch depends on spring action and it has nothing to do with gravity.

(d) Gravity disappears for a object under free fall, so frequency is zero. 

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