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Consider an expanding sphere of instanta...

Consider an expanding sphere of instantaneous radius ? whose total mass remains constant. The expansion is such that the instantaneous density `rho` remains uniform throughout the volume. The rate of fractional change in density `((dp)/(rhodt))` is constant. The velocity v of any point on the surface of the expanding sphere is proportional to

A

`R^3`

B

`1/R`

C

R

D

`R^(2/3)`

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The correct Answer is:
C
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