The time period of a satellite revolving around earth in a given orbit is $7 \,hours$. If the radius of orbit is increased to three times its previous value, then approximate new time period of the satellite will be ...... $hours$
The time period of a satellite revolving around earth in a given orbit is $7 \,hours$. If the radius of orbit is increased to three times its previous value, then approximate new time period of the satellite will be ...... $hours$
- [JEE MAIN 2022]
- A
$40$
- B
$36$
- C
$30$
- D
$25$
Similar Questions
The period of revolution of planet $A$ around the sun is $8$ times that of $B$. The distance of $A$ from the sun is how many times greater than that of $B$ from the sun
The period of revolution of planet $A$ around the sun is $8$ times that of $B$. The distance of $A$ from the sun is how many times greater than that of $B$ from the sun
- [AIPMT 1997]
Kepler's third law states that square of period of revolution $(T)$ of a planet around the sun, is proportional to third power of average distance $r$ between sun and planet i.e.
$\therefore \;{T^2} = k{r^3}$
here $K$ is constant.
If the masses of sun and planet are $M$ and $m$ respectively then as per Newton's law of gravitation force of attraction between them is $F = \frac{{GMm}}{{{r^2}}}$ , here $G$ gravitational constant . The relation between $G$ and $K$ is described as
Kepler's third law states that square of period of revolution $(T)$ of a planet around the sun, is proportional to third power of average distance $r$ between sun and planet i.e.
$\therefore \;{T^2} = k{r^3}$
here $K$ is constant.
If the masses of sun and planet are $M$ and $m$ respectively then as per Newton's law of gravitation force of attraction between them is $F = \frac{{GMm}}{{{r^2}}}$ , here $G$ gravitational constant . The relation between $G$ and $K$ is described as
- [AIPMT 2015]
A satellite is in a circular equatorial orbit of radius $7000\,km$ around the Earth. If it is transferred to a circular orbit of double the radius then its angular momentum will be
A satellite is in a circular equatorial orbit of radius $7000\,km$ around the Earth. If it is transferred to a circular orbit of double the radius then its angular momentum will be
Match List$-I$ With List$-II$
$(a)$ Gravitational constant $(G)$
$(i)$ $\left[ L ^{2} T ^{-2}\right]$
$(b)$ Gravitational potential energy
$(ii)$ $\left[ M ^{-1} L ^{3} T ^{-2}\right]$
$(c)$ Gravitational potential
$(iii)$ $\left[ LT ^{-2}\right]$
$(d)$ Gravitational intensity
$(iv)$ $\left[ ML ^{2} T ^{-2}\right]$
Choose the correct answer from the options given below:
Match List$-I$ With List$-II$
| $(a)$ Gravitational constant $(G)$ | $(i)$ $\left[ L ^{2} T ^{-2}\right]$ |
| $(b)$ Gravitational potential energy | $(ii)$ $\left[ M ^{-1} L ^{3} T ^{-2}\right]$ |
| $(c)$ Gravitational potential | $(iii)$ $\left[ LT ^{-2}\right]$ |
| $(d)$ Gravitational intensity | $(iv)$ $\left[ ML ^{2} T ^{-2}\right]$ |
Choose the correct answer from the options given below:
- [NEET 2022]
A satellite of mass m is circulating around the earth with constant angular velocity. If radius of the orbit is ${R_0}$ and mass of the earth M, the angular momentum about the centre of the earth is
A satellite of mass m is circulating around the earth with constant angular velocity. If radius of the orbit is ${R_0}$ and mass of the earth M, the angular momentum about the centre of the earth is