03. Kepler's Law of Planetary Motion
Gravitation

138658 If the earth shrinks such that its density becomes 8 times to the present value, then the new duration of the day in hours will be

1 24
2 12
3 6
4 3
Gravitation

138659 Two satellites $S_{1}$ and $S_{2}$ are revolving round a planet in coplanar and concentric circular orbits of radii $R_{1}$ and $R_{2}$ in the same direction respectively. Their respective periods of revolution are 1 hour and 8 hour. The radius of the radius of the orbit of satellite $S_{1}$ is equal to $10^{4} \mathrm{~km}$. their relative speed when they are closest, in $\mathrm{km} / \mathrm{h}$ is:

1 $\frac{\pi}{2} \times 10^{4}$
2 $\pi \times 10^{4}$
3 $2 \pi \times 10^{4}$
4 $4 \pi \times 10^{4}$
Gravitation

138660 Planet $A$ has double the radius than that of Planet $B$. If the mass of Planet $A$ is 4 times heavier than the mass of Planet $B$, which of the following statements regarding weight of an object is correct?

1 Heavier on Planet A than on Planet B
2 Heavier on Planet B than on Planet A
3 Same on both the Planets
4 Cannot be measured on Planet B
Gravitation

138663 Assume that the earth moves around the sun in a circular orbit of radius $R$ and there exists a planet which also move around the sun in a circular orbit with an angular speed twice as large as that of the earth. The radius of the orbit of the planet is

1 $2^{-2 / 3} \mathrm{R}$
2 $2^{2 / 3} \mathrm{R}$
3 $2^{-1 / 3} \mathrm{R}$
4 $\frac{\mathrm{R}}{\sqrt{2}}$
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Gravitation

138658 If the earth shrinks such that its density becomes 8 times to the present value, then the new duration of the day in hours will be

1 24
2 12
3 6
4 3
Gravitation

138659 Two satellites $S_{1}$ and $S_{2}$ are revolving round a planet in coplanar and concentric circular orbits of radii $R_{1}$ and $R_{2}$ in the same direction respectively. Their respective periods of revolution are 1 hour and 8 hour. The radius of the radius of the orbit of satellite $S_{1}$ is equal to $10^{4} \mathrm{~km}$. their relative speed when they are closest, in $\mathrm{km} / \mathrm{h}$ is:

1 $\frac{\pi}{2} \times 10^{4}$
2 $\pi \times 10^{4}$
3 $2 \pi \times 10^{4}$
4 $4 \pi \times 10^{4}$
Gravitation

138660 Planet $A$ has double the radius than that of Planet $B$. If the mass of Planet $A$ is 4 times heavier than the mass of Planet $B$, which of the following statements regarding weight of an object is correct?

1 Heavier on Planet A than on Planet B
2 Heavier on Planet B than on Planet A
3 Same on both the Planets
4 Cannot be measured on Planet B
Gravitation

138663 Assume that the earth moves around the sun in a circular orbit of radius $R$ and there exists a planet which also move around the sun in a circular orbit with an angular speed twice as large as that of the earth. The radius of the orbit of the planet is

1 $2^{-2 / 3} \mathrm{R}$
2 $2^{2 / 3} \mathrm{R}$
3 $2^{-1 / 3} \mathrm{R}$
4 $\frac{\mathrm{R}}{\sqrt{2}}$
Gravitation

138658 If the earth shrinks such that its density becomes 8 times to the present value, then the new duration of the day in hours will be

1 24
2 12
3 6
4 3
Gravitation

138659 Two satellites $S_{1}$ and $S_{2}$ are revolving round a planet in coplanar and concentric circular orbits of radii $R_{1}$ and $R_{2}$ in the same direction respectively. Their respective periods of revolution are 1 hour and 8 hour. The radius of the radius of the orbit of satellite $S_{1}$ is equal to $10^{4} \mathrm{~km}$. their relative speed when they are closest, in $\mathrm{km} / \mathrm{h}$ is:

1 $\frac{\pi}{2} \times 10^{4}$
2 $\pi \times 10^{4}$
3 $2 \pi \times 10^{4}$
4 $4 \pi \times 10^{4}$
Gravitation

138660 Planet $A$ has double the radius than that of Planet $B$. If the mass of Planet $A$ is 4 times heavier than the mass of Planet $B$, which of the following statements regarding weight of an object is correct?

1 Heavier on Planet A than on Planet B
2 Heavier on Planet B than on Planet A
3 Same on both the Planets
4 Cannot be measured on Planet B
Gravitation

138663 Assume that the earth moves around the sun in a circular orbit of radius $R$ and there exists a planet which also move around the sun in a circular orbit with an angular speed twice as large as that of the earth. The radius of the orbit of the planet is

1 $2^{-2 / 3} \mathrm{R}$
2 $2^{2 / 3} \mathrm{R}$
3 $2^{-1 / 3} \mathrm{R}$
4 $\frac{\mathrm{R}}{\sqrt{2}}$
Gravitation

138658 If the earth shrinks such that its density becomes 8 times to the present value, then the new duration of the day in hours will be

1 24
2 12
3 6
4 3
Gravitation

138659 Two satellites $S_{1}$ and $S_{2}$ are revolving round a planet in coplanar and concentric circular orbits of radii $R_{1}$ and $R_{2}$ in the same direction respectively. Their respective periods of revolution are 1 hour and 8 hour. The radius of the radius of the orbit of satellite $S_{1}$ is equal to $10^{4} \mathrm{~km}$. their relative speed when they are closest, in $\mathrm{km} / \mathrm{h}$ is:

1 $\frac{\pi}{2} \times 10^{4}$
2 $\pi \times 10^{4}$
3 $2 \pi \times 10^{4}$
4 $4 \pi \times 10^{4}$
Gravitation

138660 Planet $A$ has double the radius than that of Planet $B$. If the mass of Planet $A$ is 4 times heavier than the mass of Planet $B$, which of the following statements regarding weight of an object is correct?

1 Heavier on Planet A than on Planet B
2 Heavier on Planet B than on Planet A
3 Same on both the Planets
4 Cannot be measured on Planet B
Gravitation

138663 Assume that the earth moves around the sun in a circular orbit of radius $R$ and there exists a planet which also move around the sun in a circular orbit with an angular speed twice as large as that of the earth. The radius of the orbit of the planet is

1 $2^{-2 / 3} \mathrm{R}$
2 $2^{2 / 3} \mathrm{R}$
3 $2^{-1 / 3} \mathrm{R}$
4 $\frac{\mathrm{R}}{\sqrt{2}}$
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here