The length of the second's pendulum is increased by 0.1%. The clock :

Options

A. gains 43.2 s per day
B. loses 43.2 s per day
C. neither loses nor gains time
D. none of the above.

Answer

B

Explanation

`T=2pi sqrt((l)/(g))`
`:. (T_(2))/(T_(1))=sqrt((l_(2))/(l_(1)))=sqrt((100.1)/(100))=1.0005`.
`impliesT_(2)=2(1.0005)=2.001` s
Loss in time for `2" s"=2.001-2=0.001` s.
`:.` Loss in time per day
`=(0.001)/(2)xx24xx60xx60=43.2` s.
So the correct choice is (b).