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If the mass of the Sun were ten times smaller and the universal gravitational constant were ten times larger in magnitude, which of the following is not correct?
Explanation
$g = GM_E/R^2$ increases tenfold; the Sun's mass is irrelevant to g.
Detailed Solution
If the universal gravitational constant becomes ten times, then $G' = 10G$.
So, the acceleration due to gravity on the Earth ($g = GM_E/R^2$) increases.
So the statement that 'g' on the Earth will not change is not correct.