A) g decreases by 2% and K decreases by 4%
B) g decreases by 4% and K increases by 2%
C) g increases by 4% and K increases by 4%
D) g decreases by 4% and K increases by 4%
Correct Answer: C
Solution :
\[g=\frac{GM}{{{R}^{2}}}\]and \[K=\frac{{{L}^{2}}}{2I}\] If mass of the earth and its angular momentum remains constant then \[g\propto \frac{1}{{{R}^{2}}}\] and \[K\propto \frac{1}{{{R}^{2}}}\] i.e. if radius of earth decreases by 2% then g and K both increases by 4%.You need to login to perform this action.
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