ï»¿ At what height from the surface of earth the gravitation potential and the value of g are -5.4 x 107 J kg-2 and 6.0 m/s2 respectively? (Take the radius of the earth as 6400 km) from Physics Gravitation Class 11 Manipur Board

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At what height from the surface of earth the gravitation potential and the value of g are -5.4 x 107 J kg-2 and 6.0 m/s2 respectively? (Take the radius of the earth as 6400 km)

• 1600 km

• 1400 km

• 2000 km

• 2600 km

D.

2600 km

Gravitational potential at some height h from the surface of the earth is given by,

V =Â Â  Â  ... (i)
Acceleration due to gravity at some height h from the earth surface can be given as,

Â  ... (ii)
From equation (i) and (ii), we get

Â  Â  ... (iii)

Â V = -54 x 107 J kg-2
g' = 6.0 m/s2

Radius of Earth, R = 6400 km

Putting the values in Eqn. (iii), we get

Â = R+h
h = (9-6.4)x106 = 2.6 x 106 m

Â h = 2600 km

Gravitational potential at some height h from the surface of the earth is given by,

V =Â Â  Â  ... (i)
Acceleration due to gravity at some height h from the earth surface can be given as,

Â  ... (ii)
From equation (i) and (ii), we get

Â  Â  ... (iii)

Â V = -54 x 107 J kg-2
g' = 6.0 m/s2

Radius of Earth, R = 6400 km

Putting the values in Eqn. (iii), we get

Â = R+h
h = (9-6.4)x106 = 2.6 x 106 m

Â h = 2600 km
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Â

Comparing the coefficients of Â , we get

Â

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