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JEE Main202331 Jan 2023Evening ShiftPhysicsGravitationActual

A body weight W , is projected vertically upwards from earth's surface to reach a height above the earth which is equal to nine times the radius of earth. The weight of the body at that height will be:

Options

  1. AW 91
  2. BW 100
  3. CW 9
  4. DW 3

Correct answer

B. W 100

Step-by-step solution

Final distance from the centre of earth wil be R + 9 R = 10 R . Now acceleration due to gravity at any height(distance from centre r) is given by, g = G M r 2 . Therefore, g ' = G M 10 R 2 Now, value of g at surface will be, G M R 2 . Hence, g ' = g 100 . Then, W ' = m g ' = m g 100 = W 100

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