Question

A simple pendulum has a time period T1 when on Earths surface and T2 when
taken to a height R above the Earths surface, where R is the radius of the earth.

The value of T2/T1 is​

Answer 1

Answer:

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Answer 2

Explanation:

Time period of a simple pendulum =2π

g

l

⇒g on earth's surface =

R

2

GM

g on a height R above earth's surface =

(2R)

2

GM

⇒T

1

(time period on earth's surface ) =2π

GM

l(R

2

)

T

2

(time period at a height

′

h

′

above earth's surface ) =2π

GM

l(2R)

2

⇒

T

1

T

2

=

4

=2.

Hence, the answer is 2.