Verified Solution • 2025–26 Session moderate

QAIPM-2011-Ph-1805: NEET 2011 Physics - Class 11 AIPM-2011-Ph-1805 Solution: A particle of mass m is thrown upwards from the surface of the…

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

Multiple Choice Options

  • A 2GMR2\sqrt{\frac{2GM}{R^2}}
  • B 2GMR\sqrt{\frac{2GM}{R}}
  • C 2gMR2\sqrt{\frac{2gM}{R^2}}
  • D 2gR2\sqrt{2gR^2}

Step-by-Step Verified Solution

According to law of conservation of mechanical energy 1 2 m u 2 _ G M m R = 0 _ u 2 = 2 G M R _ u = 2 G M R = 2 g R     ( _ g = G M R 2 )

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