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Physics · PYQ NEET UG 2019(1)

हिन्दी

A body weighs \( 200\text{ N} \) on the surface of the earth. How much will it weigh half way down to the centre of the earth?

  1. \( 250\text{ N} \)
  2. \( 100\text{ N} \)
  3. \( 150\text{ N} \)
  4. \( 200\text{ N} \)

Correct answer · Option 2

\( 100\text{ N} \)

Explanation

Acceleration due to gravity at depth \( d \) is \( g' = g(1 - \frac{d}{R}) \). At half way down, \( d = R/2 \), so \( g' = g(1 - \frac{1}{2}) = \frac{g}{2} \). Thus weight \( W' = \frac{W}{2} = \frac{200}{2} = 100\text{ N} \).
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