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QNEET-2016-Ph-1063: NEET 2016 Physics - Class 11 NEET-2016-Ph-1063 Solution: At what height from the surface of earth the gravitation…

At what height from the surface of earth the gravitation potential and the value of g are −5.4×107 J kg−1-5.4 \times 10^7\ \text{J kg}^{-1} and 6.0 m s−26.0\ \text{m s}^{-2} respectively? Take the radius of earth as 6400 km. 1400 km 2000 km 2600 km 1600 km

Multiple Choice Options

  • A 1400 km
  • B 2000 km
  • C 2600 km
  • D 1600 km

Step-by-Step Verified Solution

As we know, gravitational potential (v) and acceleration due to gravity (g) with height V = _ G M R + h = _ 5.4 _ 10 7    ...(i) and g = G M ( R + h ) 2 = 6    ...(ii) Dividing (i) by (ii) _ G M R + h G M ( R + h ) 2 = _ 5.4 _ 10 7 6 _ _ 5.4 _ 10 7 ( R + h ) = 6 _ R + h = 9000 km so, h = 2600 km

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