Gravitation 1 Question 1

4. The variation of acceleration due to gravity $g$ with distance $d$ from centre of the Earth is best represented by ( $R=$ Earth’s radius)

(2017 Main) (a)

(c)

(b)

(d)

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Answer:

Correct Answer: 4. (c)

Solution:

  1. Inside the earth surface
$g=\frac{G M}{R^{3}} r$
i.e. $g \propto r$
Out the earth surface $g=\frac{G m}{r^{2}}$
i.e. $g \propto \frac{1}{r^{2}}$

So, till earth surface $g$ increases linearly with distance $r$, shown only in graph (c).



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