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Q.

An extremely small and dense neutron star of mass M, and radius. R is rotating at an angular frequency ω. If an object is placed at its equator, it will remain stuck to it due to gravity if

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a

M>RωG

b

M>R2ω2G

c

M>RωG2

d

M>R3ω2G

answer is D.

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Detailed Solution

Fg=GmMR2Centifugal force on object Fc=mRω2The object will remain stuck to the star and not fly off ifFg>FCor GmMR2>mRω2  or  M>R3ω2G
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