PhysicsIf M is the mass of earth and R is the radius of the earth, the ratio of acceleration due to gravity and gravitational constant will be

If is the mass of earth and is the radius of the earth, the ratio of acceleration due to gravity and gravitational constant will be


  1. A
    M/R
  2. B
    R/M
  3. C
    M/R2
  4. D
    None of these  

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    Solution:

    The ratio of acceleration due to gravity and gravitational constant for Earth is M/R2.
    The acceleration due to gravity, g on the surface of earth is calculated as,
    g=GMR2   ........................(1)
    Where = 6.67×10-11 Nm2kg-2 is the gravitational constant, M is the mass of the earth and is the radius of the earth.
    Rearranging the above equation (1), we get
    gG=MR2
     
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