Ask Questions, Get Answers

Want to ask us a question? Click here
Browse Questions
Home  >>  JEEMAIN and AIPMT  >>  Physics  >>  Class11  >>  Gravitation
0 votes

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

0 votes
$g= \large\frac{GM}{R^2}$
$\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

Related questions

Ask Question
student study plans
JEE MAIN, CBSE, AIPMT Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App