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7.Gravitation
easy
The value of $‘g’$ at a particular point is $9.8\,m/{s^2}$. Suppose the earth suddenly shrinks uniformly to half its present size without losing any mass. The value of $‘g’$ at the same point (assuming that the distance of the point from the centre of earth does not shrink) will now be ......... $m/{\sec ^2}$.
A
$4.9$
B
$3.1$
C
$9.8$
D
$19.6$
Solution
(c) $g = \frac{{GM}}{{{r^2}}}$. Since $M$ and $r$ are constant, so $g = 9.8\,\,m/{s^2}$
Standard 11
Physics