A particle of mass m is thrown upwards from the surface of the earth, with a velocity u. The mass and the radius of the earth are respectively, M and R. G is gravitational constant and g is acceleration due to gravity on the surface of the earth. The minimum value of u so that the particle does not return back to earth, is :
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a
2GMR2
b
2GMR
c
2gMR2
d
2gR2
answer is B.
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Detailed Solution
By conservation of mechanical energy12mu2+−GMmR=0+0⇒u=2GMR