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A pendulum has a string of length 99.39 ...

A pendulum has a string of length 99.39 cm. how much length of the pendulum must be shortened to keep the current time of the pendulum if it loses 4 s a day?

A

0.0009 cm

B

0.009 cm

C

0.09 cm

D

0.9 cm

Text Solution

Verified by Experts

The correct Answer is:
B
Time lost by pendulum per day=4s, dn=-4s number of seconds in a day, n=`24xx3600s`
Let dl be the length by which the pendulum should be shortened to keep the correct time
`(dn)/(n)=-(dl)/(2l)implies(-4)/(24xx3600)=(-dl)/(2xx99.39)`
`impliesdl=0.00920cm`
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