7.Gravitation
medium

પૃથ્વીથી ........ $km$ ઊંચાઈએ ગુરુત્વ પ્રવેગ માં $1 \%$ જેટલો ઘટાડો થાય . (પૃથ્વીની ત્રિજયા $= 6400 \,km$)

A

$32$

B

$80 $

C

$1.253$

D

$64 $

Solution

(a) $g \propto \frac{{GM}}{{{r^2}}}$

$⇒$ $g \propto \frac{1}{{{r^2}}}$ or $r \propto \frac{1}{{\sqrt g }}$

If $g$ decrease by one percent then r should be increase by $\frac{1}{2}\% $

i.e. $R = \frac{1}{{2 \times 100}} \times 6400 = 32\;km$

Standard 11
Physics

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