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A spherical planet of radius R has spherically symmetrical distribution of mass density varying as...

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A spherical planet of radius R has spherically symmetrical distribution of mass density varying as square of the distance from the centre from zero at centre to maximum value po at its surface The value of escape velocity of a mass m at the surface of planet is 4TG R 5 The value of acceleration due to gravity g varies inside the planet as cube of the distance from centre The value of escape velocity from surface is same as the escape velocity from another planet of same total mass radius but having uniform mass density The energy required to impart escape velocity to particles of masses m 2m at the surface of planet will be in ratio 1 2

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