Two satellites of equal mass are revolving around earth in elliptical orbits of different semi-major axis. If their angular momenta about earth centre are in the ratio $3: 4$ then ratio of their areal velocity is ........
Two satellites of equal mass are revolving around earth in elliptical orbits of different semi-major axis. If their angular momenta about earth centre are in the ratio $3: 4$ then ratio of their areal velocity is ........
- A
$\frac{3}{4}$
- B
$\frac{2}{3}$
- C
$\frac{1}{3}$
- D
$\frac{4}{3}$
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A satellite moves round the earth in a circular orbit of radius $R$ making one revolution per day. A second satellite moving in a circular orbit, moves round the earth once in $8$ days. The radius of the orbit of the second satellite is
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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 revolving around a planet in stationary orbit has time period 6 hours. The mass of planet is one-fourth the mass of earth. The radius orbit of planet is : (Given $=$ Radius of geo-stationary orbit for earth is $4.2 \times 10^4 \mathrm{~km}$ )
A satellite revolving around a planet in stationary orbit has time period 6 hours. The mass of planet is one-fourth the mass of earth. The radius orbit of planet is : (Given $=$ Radius of geo-stationary orbit for earth is $4.2 \times 10^4 \mathrm{~km}$ )
- [JEE MAIN 2024]