1.

Paragraph : A scientist was asked to find the height of the roof of a dome shaped hall. He took a spherical ball of radius 20 cm which he suspend with the string from the roof of dome. The height of the ball above the ground was 5 cm when suspended. He noted the time of 20 oscillations to be 100 s. The length of the string used to suspend the bob of pendulum is :

Answer»

6.39 m
6.14 m
6 m
6.44 m.

Solution :`T=2pi sqrt((l)/(g))impliesl=(GT^(2))/(4pi^(2))=(20xx5^(2))/(4xx(3.14)^(2))=6.34` m.
length of STRING used `=l-` radius of bob `=6.34-.20`
`=6.14` m.
So CORRECT choiceis(B).


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