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  • If the radius of earth shrinks by 2% while its mass remains same. The acceleration due to gravity on the earth's surface will approximately :  Op

If the radius of earth shrinks by 2% while its mass remains same. The acceleration due to gravity on the earth's surface will approximately :
 

Option: 1

decrease by 2%

 


Option: 2

decrease by 4%


Option: 3

increase by 2%
 


Option: 4

increase by 4%


Answers (1)

best_answer

\mathrm{g=\frac{G M}{R^2} }

\mathrm{\text { as } R\downarrow, 9 \uparrow }

\mathrm{\frac{\Delta g}{g}=-2 \frac{\Delta R}{R} }

\mathrm{\frac{\Delta g}{g} \times 100=4 %}
The acceleration due to gravity on the earth's surface will approximately increase by 4%

Hence 4 is correct option.

Posted by

himanshu.meshram

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