BITSAT2014PhysicsElectrostaticsActual
A spherically symmetric gravitational system of particles has a mass density = array ll ₀ & for r R 0 & for r > R array . where r ₀ is a constant. A test mass can undergo circular motion under the influence of the gravitational field of particles. Its speed V as a function of distance r(0
Correct answer
2
Step-by-step solution
Given mass density (P= P₀ . ) for (r R O ) for ( .r>R ) Since gravitational depends on mass, which is zero for (r>R ), hence it only acts for (r R ). ( aligned & F _ graw = F _ circular & GM _ sphere M R ² = M ( e )² R & V ² M _ sphere R since r R & V ² R ³ R R ² V R straight line + ve slope aligned ) Beyond ( r = R ), mass density (=0 ) acceleration due to gravity (=0 ) velocity stays constant.
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Correct answer
2
Step-by-step solution
Given mass density (P= P₀ . ) for (r R O ) for ( .r>R ) Since gravitational depends on mass, which is zero for (r>R ), hence it only acts for (r R ). ( aligned & F _ graw = F _ circular & GM _ sphere M R ² = M ( e )² R & V ² M _ sphere R since r R & V ² R ³ R R ² V R straight line + ve slope aligned ) Beyond ( r = R ), mass density (=0 ) acceleration due to gravity (=0 ) velocity stays constant.