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Q.

A clock regulated by a seconds pendulum keeps correct time. During summer the length of the pendulum increases to 1.02m. How much will the clock gain or lose in one day ? 
 

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a

2280 sec 
 

b

1380 sec 
 

c

1230 sec 
 

d

1188 sec 
 

answer is C.

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Detailed Solution

The seconds pendulum,  time period =T=2sec

length of the second's pendulum L=gT24π2=0.9927m

length of seconds pendulum during the summer is = 1.02m

Now the error in length is.

l=l2-l1=1.02-1=0.0273

In the pendulum Tl

By the principle of error,

TT=12ll=120.02730.9927=1188sec.

Hence the correct answer is 1188 sec.

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A clock regulated by a seconds pendulum keeps correct time. During summer the length of the pendulum increases to 1.02m. How much will the clock gain or lose in one day ?