SATHEE: Gravitation Question 46

Gravitation Question 46

Question: R and r are the radii of the earth and moon respectively. $[ρ_{e}]$ and $[ρ_{m}]$ are the densities of earth and moon respectively. The ratio of the accelerations due to gravity on the surfaces of earth and moon is [EAMCET 2000]

Options:

A) $[\frac{R}{r} \frac{ρ_{e}}{ρ_{m}}]$

B) $[\frac{r}{R} \frac{ρ_{e}}{ρ_{m}}]$

C) $[\frac{r}{R} \frac{ρ_{m}}{ρ_{e}}]$

D) $[\frac{R}{r} \frac{ρ_{e}}{ρ_{m}}]$

Show Answer

Answer:

Correct Answer: A

Solution:

$[g = \frac{4}{3} π ρ G R]$

$[g \propto r ρ]$

$[\frac{g_{e}}{g_{m}} = \frac{R}{r} \times \frac{ρ_{e}}{ρ_{m}}]$

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Gravitation Question 46

Question: R and r are the radii of the earth and moon respectively. [ρe] and [ρm] are the densities of earth and moon respectively. The ratio of the accelerations due to gravity on the surfaces of earth and moon is [EAMCET 2000]

Options:

Answer:

Solution:

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Question: R and r are the radii of the earth and moon respectively. $[ρ_{e}]$ and $[ρ_{m}]$ are the densities of earth and moon respectively. The ratio of the accelerations due to gravity on the surfaces of earth and moon is [EAMCET 2000]