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Solution


Q.

The gravitational potential at a point above the surface of earth is -5.12×107 J/kg and the acceleration due to gravity at that point is 6.4 m/s2.     

Assume that the mean radius of earth to be 6400 km. The height of this point above the earth's surface is:                      [2024]
1 1600 km  
2 540 km  
3 1200 km  
4 1000 km  

Ans.

(1)  

      Vg=-GM(R+h)=-5.12×107 J/kg

       g=GM(R+h)2=6.4m/s2

       Vgg=-(R+h)

       ⇒-5.12×1076.4=-(R+h)

         6400 km + h = 8000 km

         h = 1600 km