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Gravitation question

2001 · Q148
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Gravitation question

2001 · Q148

NEETPhysicsGravitationMCQ+4 / −1
With what velocity should a particle be projected so that its height becomes equal to radius of earth?
  1. A
    (GMR)1/2{\left( {{{GM} \over R}} \right)^{1/2}}(RGM​)1/2
  2. B
    (8GMR)1/2{\left( {{{8GM} \over R}} \right)^{1/2}}(R8GM​)1/2
  3. C
    (2GMR)1/2{\left( {{{2GM} \over R}} \right)^{1/2}}(R2GM​)1/2
  4. D
    (4GMR)1/2{\left( {{{4GM} \over R}} \right)^{1/2}}(R4GM​)1/2
View written solutionFree

Correct answer: A

Using v2=2gh1+hR{v^2} = {{2gh} \over {1 + {h \over R}}}v2=1+Rh​2gh​ and given h = R

∴\therefore∴ v=gR=GMRv = \sqrt {gR} = \sqrt {{{GM} \over R}} v=gR​=RGM​​

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