Gravitation Question 46

Question: R and r are the radii of the earth and moon respectively. $ [{\rho_{e}}] $ and $ [{\rho_{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{{\rho_{e}}}{{\rho_{m}}}] $

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

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

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

Show Answer

Answer:

Correct Answer: A

Solution:

$ [g=\frac{4}{3}\pi \rho GR] $

$ [g\propto r\rho ] $

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



जेईई के लिए मॉक टेस्ट

एनसीईआरटी अध्याय वीडियो समाधान

दोहरा फलक