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NEET 2016 (Phase 2) · Acceleration Due to Gravity

Acceleration Due to Gravity question from NEET 2016 (Phase 2)

Q119NEET 2016 · PHASE 2Easy

Acceleration Due to Gravity

Starting from the centre of the earth having radius R, the variation of g (acceleration due to gravity) is shown by

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Answer: (b)

ROrgg ∝ rg ∝ 1/r²
  1. Inside the earth (r<Rr < R): g=GMR3rg = \frac{GM}{R^3}r, so g∝rg \propto r (straight line from the origin).
  2. Outside (r>Rr > R): g=GMr2g = \frac{GM}{r^2}, so g∝1r2g \propto \frac{1}{r^2} (falling curve).
  3. gg is maximum at r=Rr = R.
  4. So the answer is (b): straight rise up to RR, then a 1/r21/r^2 fall.
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