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