অভিকর্ষ ও অভিকর্ষজ ত্বরণ

At a point very near to the earth's surface, the acceleration due to gravity is g. What will be the acceleration due to gravity at the same point if the earth suddenly shrinks to half its radius without any change in its mass?

হানি নাটস

Acceleration due to gravity on the earth's surface is g=GMR2g=\dfrac{GM}{R^2}

If earth suddenly shrinks to half its radius, the acceleration due to gravity becomes, g=GM(R/2)2=4GM/R2=4gg'=\dfrac{GM}{(R/2)^2}=4GM/R^2=4g

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