A simple pendulum is taken to 64 km above the earth's surface. It's time period will be

Question

A simple pendulum is taken to 64 km above the earth's surface. It's time period will be, Increase by 1 %, Decrease by 1 %, Increase by 2 %, Decrease by 2 %

MARKS App · Accepted Answer

g e f f at height of h g e f f = g ( 1 + h R e ) 2 = g R e 2 ( R e + h ) 2 ⇒ T = 2 T 1 l g = 2 T 1 l ( R e + h ) 2 R e 2 ⇒ T 2 α T 1 R e + h R e = 6400 + 64 6400 ⇒ T 2 T 1 = ( 1 + 1 100 ) ∴ Time period will increase by 1%.

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