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If a simple pendulum has significant amp...

If a simple pendulum has significant amplitude (up to a factor of 1/e of original) only in the period between t = Os to `t = tau s`, then `tau` may be called the average life of the pendulum. When the spherical bob of the pendulum suffers a retardation (due to viscous drag) proportional to its velocity, with 'b' as the constant of proportionality, the average life time of the pendulum is (assuming damping is small) in seconds:

A

`(0.693)/(b)`

B

b

C

`(1)/(b)`

D

`(2)/(b)`

Text Solution

Verified by Experts

The correct Answer is:
D
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