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Which of the following statement is true? A. The value of 'g' on Mount Everest is >g B. The value of 'g' on Mount Everest is

Which of the following statement is true? A. The value of 'g' on Mount Everest is >g B. The value of 'g' on Mount Everest is <g C. A ball thrown vertically comes back to the ground after 15 seconds. Its velocity is 75 m/s. D. A ball thrown vertically comes back to the ground after 15 seconds. Its velocity is 150 m/s. Correct Answer Only statements B and C are true

The correct answer is Only statements B and C are true.

Key Points

  • The value of 'g' on Mount Everest is <g:
    • ​value of acceleration due to gravity on mount Everest is <g.
    • Explanation: As we move above and below the surface of the earth, acceleration due to gravity decreases.
    • Hence, statement B is correct.

Additional Information

  • A ball thrown vertically comes back to the ground after 15 seconds. Its velocity is 150 m/s.
  • Time to reach Maximum height:
    • t = 15/2 = 7.5 s.
    • v = 0 (at the maximum height)
    • a = – 10 m s–² 
    • Since the ball is thrown upwards, the acceleration is negative.
  • Velocity:
    • Using, v = u + at, we get
    • 0 = u – 10 × 7.5
    • or, u = 75 ms–¹
    • Thus, the velocity with which it was thrown up = 75ms–¹
    • Hence, statement C is correct.
  • Maximum height it reaches:
    • Using, 2aS = v² – u², we get
    • S = v²- u²/2a
    • S = 0 – 75 × 75/(- 2× 9.8)
    • S = 276 m
    • Thus, Maximum height it reaches = 287 m.

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