00. Newton's Law of Gravitation
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Gravitation

138239 A tunnel is dug along the diameter of the earth. A mass $m$ is dropped into it. How much time does it take to cross the earth?

1 $169.2 \mathrm{~min}$
2 $84.6 \mathrm{~min}$
3 $21.2 \mathrm{~min}$
4 $42.3 \mathrm{~min}$
JCECE-2017
Gravitation

138241 A uniform sphere of mass $M$ and radius $R$ exerts a force $F$ on a small mass $m$ situated at a distance of $2 R$ from the centre $O$ of the sphere. A spherical portion of diameter $R$ is cut from the sphere as shown in figure. The force of attraction between the remaining part of the sphere and the mass $m$ will be

1 $\frac{F}{3}$
2 $\frac{2 \mathrm{~F}}{3}$
3 $\frac{4 \mathrm{~F}}{3}$
4 $\frac{7 \mathrm{~F}}{9}$
COMEDK 2018
Gravitation

138243 Six stars of equal mass $m$ are moving about the centre of mass of the system such that they are always on the vertices of a regular hexagon of side length a. Their common time period of revolution around center will be

1 $4 \pi \sqrt{\frac{\mathrm{a}^{3}}{\mathrm{Gm}}}$
2 $2 \pi \sqrt{\frac{4 \sqrt{3} a^{3}}{\operatorname{Gm}(5 \sqrt{3}+4)}}$
3 $4 \pi \sqrt{\frac{3 a^{3}}{G m}}$
4 None of these
AIIMS-27.05.2018(E)
Gravitation

138247 A rocket is fired from the Earth towards the Sun. At what distance from the Earth's centre, the gravitational force on the rocket is zero? Mass of the Sun $=2 \times 10^{30} \mathrm{~kg}$ and mass of the Earth $=6 \times 10^{24} \mathrm{~kg}$. Neglect the effect of other planets etc. $\left(\right.$ orbital radius $=1.5 \times 10^{11} \mathrm{~m}$ )

1 $2.6 \times 10^{8} \mathrm{~m}$
2 $3.2 \times 10^{8} \mathrm{~m}$
3 $3.9 \times 10^{9} \mathrm{~m}$
4 $2.3 \times 10^{9} \mathrm{~m}$
BCECE-2015
NEET DIGITAL LIBRARY
Gravitation

138239 A tunnel is dug along the diameter of the earth. A mass $m$ is dropped into it. How much time does it take to cross the earth?

1 $169.2 \mathrm{~min}$
2 $84.6 \mathrm{~min}$
3 $21.2 \mathrm{~min}$
4 $42.3 \mathrm{~min}$
JCECE-2017
Gravitation

138241 A uniform sphere of mass $M$ and radius $R$ exerts a force $F$ on a small mass $m$ situated at a distance of $2 R$ from the centre $O$ of the sphere. A spherical portion of diameter $R$ is cut from the sphere as shown in figure. The force of attraction between the remaining part of the sphere and the mass $m$ will be

1 $\frac{F}{3}$
2 $\frac{2 \mathrm{~F}}{3}$
3 $\frac{4 \mathrm{~F}}{3}$
4 $\frac{7 \mathrm{~F}}{9}$
COMEDK 2018
Gravitation

138243 Six stars of equal mass $m$ are moving about the centre of mass of the system such that they are always on the vertices of a regular hexagon of side length a. Their common time period of revolution around center will be

1 $4 \pi \sqrt{\frac{\mathrm{a}^{3}}{\mathrm{Gm}}}$
2 $2 \pi \sqrt{\frac{4 \sqrt{3} a^{3}}{\operatorname{Gm}(5 \sqrt{3}+4)}}$
3 $4 \pi \sqrt{\frac{3 a^{3}}{G m}}$
4 None of these
AIIMS-27.05.2018(E)
Gravitation

138247 A rocket is fired from the Earth towards the Sun. At what distance from the Earth's centre, the gravitational force on the rocket is zero? Mass of the Sun $=2 \times 10^{30} \mathrm{~kg}$ and mass of the Earth $=6 \times 10^{24} \mathrm{~kg}$. Neglect the effect of other planets etc. $\left(\right.$ orbital radius $=1.5 \times 10^{11} \mathrm{~m}$ )

1 $2.6 \times 10^{8} \mathrm{~m}$
2 $3.2 \times 10^{8} \mathrm{~m}$
3 $3.9 \times 10^{9} \mathrm{~m}$
4 $2.3 \times 10^{9} \mathrm{~m}$
BCECE-2015
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Gravitation

138239 A tunnel is dug along the diameter of the earth. A mass $m$ is dropped into it. How much time does it take to cross the earth?

1 $169.2 \mathrm{~min}$
2 $84.6 \mathrm{~min}$
3 $21.2 \mathrm{~min}$
4 $42.3 \mathrm{~min}$
JCECE-2017
Gravitation

138241 A uniform sphere of mass $M$ and radius $R$ exerts a force $F$ on a small mass $m$ situated at a distance of $2 R$ from the centre $O$ of the sphere. A spherical portion of diameter $R$ is cut from the sphere as shown in figure. The force of attraction between the remaining part of the sphere and the mass $m$ will be

1 $\frac{F}{3}$
2 $\frac{2 \mathrm{~F}}{3}$
3 $\frac{4 \mathrm{~F}}{3}$
4 $\frac{7 \mathrm{~F}}{9}$
COMEDK 2018
Gravitation

138243 Six stars of equal mass $m$ are moving about the centre of mass of the system such that they are always on the vertices of a regular hexagon of side length a. Their common time period of revolution around center will be

1 $4 \pi \sqrt{\frac{\mathrm{a}^{3}}{\mathrm{Gm}}}$
2 $2 \pi \sqrt{\frac{4 \sqrt{3} a^{3}}{\operatorname{Gm}(5 \sqrt{3}+4)}}$
3 $4 \pi \sqrt{\frac{3 a^{3}}{G m}}$
4 None of these
AIIMS-27.05.2018(E)
Gravitation

138247 A rocket is fired from the Earth towards the Sun. At what distance from the Earth's centre, the gravitational force on the rocket is zero? Mass of the Sun $=2 \times 10^{30} \mathrm{~kg}$ and mass of the Earth $=6 \times 10^{24} \mathrm{~kg}$. Neglect the effect of other planets etc. $\left(\right.$ orbital radius $=1.5 \times 10^{11} \mathrm{~m}$ )

1 $2.6 \times 10^{8} \mathrm{~m}$
2 $3.2 \times 10^{8} \mathrm{~m}$
3 $3.9 \times 10^{9} \mathrm{~m}$
4 $2.3 \times 10^{9} \mathrm{~m}$
BCECE-2015
For More Updates join with Us
Gravitation

138239 A tunnel is dug along the diameter of the earth. A mass $m$ is dropped into it. How much time does it take to cross the earth?

1 $169.2 \mathrm{~min}$
2 $84.6 \mathrm{~min}$
3 $21.2 \mathrm{~min}$
4 $42.3 \mathrm{~min}$
JCECE-2017
Gravitation

138241 A uniform sphere of mass $M$ and radius $R$ exerts a force $F$ on a small mass $m$ situated at a distance of $2 R$ from the centre $O$ of the sphere. A spherical portion of diameter $R$ is cut from the sphere as shown in figure. The force of attraction between the remaining part of the sphere and the mass $m$ will be

1 $\frac{F}{3}$
2 $\frac{2 \mathrm{~F}}{3}$
3 $\frac{4 \mathrm{~F}}{3}$
4 $\frac{7 \mathrm{~F}}{9}$
COMEDK 2018
Gravitation

138243 Six stars of equal mass $m$ are moving about the centre of mass of the system such that they are always on the vertices of a regular hexagon of side length a. Their common time period of revolution around center will be

1 $4 \pi \sqrt{\frac{\mathrm{a}^{3}}{\mathrm{Gm}}}$
2 $2 \pi \sqrt{\frac{4 \sqrt{3} a^{3}}{\operatorname{Gm}(5 \sqrt{3}+4)}}$
3 $4 \pi \sqrt{\frac{3 a^{3}}{G m}}$
4 None of these
AIIMS-27.05.2018(E)
Gravitation

138247 A rocket is fired from the Earth towards the Sun. At what distance from the Earth's centre, the gravitational force on the rocket is zero? Mass of the Sun $=2 \times 10^{30} \mathrm{~kg}$ and mass of the Earth $=6 \times 10^{24} \mathrm{~kg}$. Neglect the effect of other planets etc. $\left(\right.$ orbital radius $=1.5 \times 10^{11} \mathrm{~m}$ )

1 $2.6 \times 10^{8} \mathrm{~m}$
2 $3.2 \times 10^{8} \mathrm{~m}$
3 $3.9 \times 10^{9} \mathrm{~m}$
4 $2.3 \times 10^{9} \mathrm{~m}$
BCECE-2015
NEET DIGITAL LIBRARY