Question

A clock regulated by a seconds pendulum keeps correct time.During summer the length of the pendulum increases to 1.01m.How much will the clock gain or lose in one day?

Answer 1

Seconds pendulum:
It is a pendulum whose time period is equal to 2 s and whose length is equalto 1 m.
Initial length of the pendulum, L1 = 1 m
Final length of the pendulum, L2 = 1.01 m
Change in length of the pendulum, △L=0.01 m
Time duration for a day,
 T=86,400 sExpression for time period of a simple pendulum: T=2πLg−−√T α L12Apply logarithm on bothsides:log T α log L12log T α 12log LDifferentiate on bothsides:1TdTdL=121L

After this calcultion is in image.
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