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Physics · PYQ NEET UG 2017

हिन्दी

The acceleration due to gravity at a height \( 1\text{ km} \) above the earth is the same as at a depth d below the surface of earth. Then:

  1. A
    \( d = \frac{1}{2}\text{ km} \)
  2. B
    \( d = 1\text{ km} \)
  3. C
    \( d = \frac{3}{2}\text{ km} \)
  4. D
    \( d = 2\text{ km} \)

Correct answer · Option D

\( d = 2\text{ km} \)

Explanation

For small height \( h \) and depth \( d \), \( g_h = g(1 - \frac{2h}{R}) \) and \( g_d = g(1 - \frac{d}{R}) \). Equating \( g_h = g_d \) gives \( d = 2h = 2(1\text{ km}) = 2\text{ km} \).
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