The radius and mass of earth are increased by $0.5\%$. Which of the following statements are true at the surface of the earth
The radius and mass of earth are increased by $0.5\%$. Which of the following statements are true at the surface of the earth
Potential energy will remain unchanged
$g$ will decrease
Escape velocity will remain unchanged
All of the above
The radius and mass of earth are increased by $0.5\%$. Which of the following statements are true at the surface of the earth
$g = \frac{{GM}}{{{R^2}}},{v_e} = \sqrt {\frac{{2GM}}{R}} $ and $U = \frac{{ - GMm}}{R}$
$g \propto \frac{M}{{{R^2}}},{v_e} \propto \sqrt {\frac{M}{R}} $ and $U \propto \frac{M}{R}$
If both mass and radius are increased by $0.5\%$ then ${v_e}$ and $U$ remains unchanged where as $g$ decrease by $0.5\%$.
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