NEET 2011 Physics question
A particle of mass is thrown upwards from the surface of the earth, with a velocity . The mass and the radius of the earth are, respectively, and . is gravitational constant and is acceleration due to gravity on the surface of the earth. The minimum value of so that the particle does not return back to earth, is :
Answer: (1)
Solution
The particle just escapes when its total energy at the surface is zero: , giving . Using , this is also . Options (2) and (4), ,
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