A) \[2%\] decrease
B) \[2%\] increase
C) \[1%\] decrease
D) \[1%\] increase
Correct Answer: B
Solution :
The acceleration due to gravity g is given by \[g=\frac{GM}{{{R}^{2}}}\] ? (i) where \[G\] is gravitational constant, \[M\] the mass, \[R\] the radius of earth. Taking \[\log \] on both sides, we get \[\log g=\log G+\log M-2\log R\] Differentiating, we get \[\frac{\Delta g}{g}=0+0-\frac{2\Delta R}{R}\] Given, \[\frac{\Delta R}{R}=-1%\] \[\therefore \] \[\frac{\Delta g}{g}=-2(-1%)=2%\]increase
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