Two identical satellites are at R and 7R away from earth surface, wrong statement is ( R = Radius of

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7.Gravitation

hard

Two identical satellites are at $R$ and $7R$ away from earth surface, the wrong statement is ($R $ = Radius of earth)

Ratio of total energy will be $4$

Ratio of kinetic energies will be $4$

Ratio of potential energies will be $4$

Ratio of total energy will be $4$ but ratio of potential and kinetic energies will be $2$

Solution

(d)Orbital radius of satellites ${r_1} = R + R = 2R$
${r_2} = R + 7R = 8R$
${U_1} = \frac{{ – GMm}}{{{r_1}}}$ and ${U_2} = \frac{{ – GMm}}{{{r_2}}}$
${K_1} = \frac{{GMm}}{{2{r_1}}}$ and ${K_2} = \frac{{GMm}}{{2{r_2}}}$
${E_1} = \frac{{GMm}}{{2{r_1}}}$ and ${E_2} = \frac{{GMm}}{{2{r_2}}}$
$\frac{{{U_1}}}{{{U_2}}} = \frac{{{K_1}}}{{{K_2}}} = \frac{{{E_1}}}{{{E_2}}} = 4$

Standard 11

Physics

If radius of an orbiting satellite is decreased, then its kinetic energy

easy

Two identical satellites are at the heights $R$ and $7R$ from the Earth's surface. Then which of the following statement is incorrect. ($R =$ radius of the Earth)

hard

A particle of mass $10\, g$ is kept on the surface of a uniform sphere of mass $100\, kg$ and radius $10\, cm$. Find the work to be done against the gravitational force between them to take the particle far away from the sphere (you may take $G = 6.67 \times 10^{-11}\, Nm^2 / kg^2$)

medium

(AIIMS-2008)

Give the binding energy of body lying on the earth at distance $r$ from the centre of earth $\left(+\frac{ GM _{ E } m}{r}=\frac{ GM _{e} m}{ R _{ E }+h}\right)$

easy

The mass of the earth is $6.00 \times {10^{24}}\,kg$ and that of the moon is $7.40 \times {10^{22}}\,kg$. The constant of gravitation $G = 6.67 \times {10^{ – 11}}\,N – {m^2}/k{g^2}$. The potential energy of the system is $ – 7.79 \times {10^{28}}\,joules$. The mean distance between the earth and moon is

easy

Two identical satellites are at $R$ and $7R$ away from earth surface, the wrong statement is ($R $ = Radius of earth)

Solution

Similar Questions

If radius of an orbiting satellite is decreased, then its kinetic energy

Two identical satellites are at the heights $R$ and $7R$ from the Earth's surface. Then which of the following statement is incorrect. ($R =$ radius of the Earth)

A particle of mass $10\, g$ is kept on the surface of a uniform sphere of mass $100\, kg$ and radius $10\, cm$. Find the work to be done against the gravitational force between them to take the particle far away from the sphere (you may take $G = 6.67 \times 10^{-11}\, Nm^2 / kg^2$)

Give the binding energy of body lying on the earth at distance $r$ from the centre of earth $\left(+\frac{ GM _{ E } m}{r}=\frac{ GM _{e} m}{ R _{ E }+h}\right)$

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