SHMEasy
Question
A simple pendulum has a time period T1 when on the earth′s surface and T2 when taken to a height R above the earth′s surface, where R is the radius of the earth. The value of T2 / T1 is
Options
A.1
B.√2
C.4
D.2
Solution
T =
i.e.,
=
where g1 = acceleration due to graity on earth’s surface = g
g2 = acceleration due to gravity at a height h = R from earth′s surface = g/4

i.e.,
=
where g1 = acceleration due to graity on earth’s surface = g
g2 = acceleration due to gravity at a height h = R from earth′s surface = g/4

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