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Home  >>  JEEMAIN and AIPMT  >>  Physics  >>  Class11  >>  Gravitation
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If radius of the earth were to shrink by one percent, its mass remaining same the value of g on the earth's surface would

$ a) increase\; by\; 0.5 \% \\ b) increase\; by\; 2 \% \\ c) decrease\; b\; 0.5 \% \\ d) decrease\; by\; 2 \%$
Can you answer this question?

1 Answer

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$g= \large\frac{GM}{R^2}$
$\large\frac{dg}{g}$$=-2 \large\frac{dR}{R}$
given $\large\frac{dR}{R}$$=-1 \%$
$=>\large\frac{dg}{g}$$=2 \%$
$\therefore $ g increases by $2 \%$
Hence b is the correct answer.
answered Aug 10, 2013 by meena.p
edited Jun 26, 2014 by lmohan717

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