The radii of two planets are respectively $${{R}_{1}}$$ and $${{R}_{2}}$$ and their densities are respectively $${{\rho }_{1}}$$ and $${{\rho }_{2}}$$. The ratio of the accelerations due to gravity at their surfaces is [MP PET 1994]

Question

TuteeHUB · Accepted Answer

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TuteeHUB · Answer

$${{g}_{1}}:{{g}_{2}}=\frac{{{\rho }_{1}}}{R_{1}^{2}}:\frac{{{\rho }_{2}}}{R_{2}^{2}}$$

TuteeHUB · Answer

$${{g}_{1}}:{{g}_{2}}={{R}_{1}}{{R}_{2}}:{{\rho }_{1}}{{\rho }_{2}}$$

TuteeHUB · Answer

$${{g}_{1}}:{{g}_{2}}={{R}_{1}}{{\rho }_{2}}:{{R}_{2}}{{\rho }_{1}}$$

TuteeHUB · Answer

$${{g}_{1}}:{{g}_{2}}={{R}_{1}}{{\rho }_{1}}:{{R}_{2}}{{\rho }_{2}}$$

1.	The radii of two planets are respectively \[{{R}_{1}}\] and \[{{R}_{2}}\] and their densities are respectively \[{{\rho }_{1}}\] and \[{{\rho }_{2}}\]. The ratio of the accelerations due to gravity at their surfaces is [MP PET 1994]
A.	\[{{g}_{1}}:{{g}_{2}}=\frac{{{\rho }_{1}}}{R_{1}^{2}}:\frac{{{\rho }_{2}}}{R_{2}^{2}}\]
B.	\[{{g}_{1}}:{{g}_{2}}={{R}_{1}}{{R}_{2}}:{{\rho }_{1}}{{\rho }_{2}}\]
C.	\[{{g}_{1}}:{{g}_{2}}={{R}_{1}}{{\rho }_{2}}:{{R}_{2}}{{\rho }_{1}}\]
D.	\[{{g}_{1}}:{{g}_{2}}={{R}_{1}}{{\rho }_{1}}:{{R}_{2}}{{\rho }_{2}}\]
Answer» E.

The radii of two planets are respectively \[{{R}_{1}}\] and \[{{R}_{2}}\] and their densities are respectively \[{{\rho }_{1}}\] and \[{{\rho }_{2}}\]. The ratio of the accelerations due to gravity at their surfaces is [MP PET 1994]

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