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Most Important Selected Qs for JEE AdvancedPhysicsGravitation

Paragraph: Consider a star and two planet system. The star has mass M. The planet A and B have the same mass m , radius a and they revolve around the star in circular orbits of radius r and 4 r respectively ( M > > m , r >> a). Planet A has intelligent life, and the people of this planet have achieved a very high degree of technological advance. They wish to shift a geostationary satellite of their own planet to a ge

Options

  1. A|
  2. BII
  3. Cboth I and II
  4. Dneither I nor II.

Correct answer

C. both I and II

Step-by-step solution

For geostationary satellite, time period = 1 planet day (by def.) Let T =1 planet day T₀=1 planet year Now T^2= 4 ^2 G m r_G^3= 4 ^2 G m r^3 ( m M )= 4 ^2 GM r ^3= T ₀^3 or T = T ₀

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