Q.

A planet is moving around the sun in a circular orbit of radius R and with a time period T. If the planet is suddenly stopped in its orbit then (assume radius of sun is very small as compare to R)

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a

It will fall onto the sun after a time T42 .

b

The magnitude of mechanical energy after the stopping will become twice the initial magnitude of mechanical energy.

c

The mechanical energy will decrease.

d

Its angular momentum about the centre of the sun will become zero.

answer is A, B, C, D.

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Detailed Solution

Time taken to fall is  T|

2T|α(a2)3

Tαa3

T|=T42

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A planet is moving around the sun in a circular orbit of radius R and with a time period T. If the planet is suddenly stopped in its orbit then (assume radius of sun is very small as compare to R)