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 :
\[g=\frac{GM}{{{R}^{2}}}\Rightarrow \frac{\Delta g}{g}=-2\frac{\Delta R}{R}=-2(-2%)=+4%\] And \[K=\frac{1}{2}I{{\omega }^{2}}=\frac{1}{2}{{\omega }^{2}}\times \frac{2}{5}M{{R}^{2}}\] \[\frac{\Delta K}{K}=2\frac{\Delta R}{R}=2\times (-2)%=-4%\]You need to login to perform this action.
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