00. Newton's Law of Gravitation
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Gravitation

138234 A man of mass $m$ starts falling towards a planet of mass $M$ and radius $R$. As he reaches near to the surface, he realizes that he will pass through a small hole in the planet. As he enters the hole, he sees that the planet is really made of two pieces a spherical shell of negligible thickness of mass $2 \mathrm{M} / 3$ and a point mass $\mathrm{M} / 3$ at the centre. Change in the force of gravity experienced by the man is

1 $\frac{2}{3} \frac{\mathrm{GMm}}{\mathrm{R}^{2}}$
2 0
3 $\frac{1}{3} \frac{\mathrm{GMm}}{\mathrm{R}^{2}}$
4 $\frac{4}{3} \frac{\mathrm{GMm}}{\mathrm{R}^{2}}$
BITSAT-2011
Gravitation

138235 A very long (length $L$ ) cylindrical galaxy is made of uniformly distributed mass and has radius $R(R \lt \lt )$. A star outside the galaxy is orbiting the galaxy in a plane perpendicular to the galaxy and passing through its centre. If the time period of star is $T$ and its distance from the galaxy's axis is $r$, then

1 $\mathrm{T}^{2} \propto \mathrm{r}^{3}$
2 $\mathrm{T} \propto \mathrm{r}^{2}$
3 $\mathrm{T} \propto \mathrm{r}$
4 $\mathrm{T} \propto \sqrt{\mathrm{r}}$
CG PET -2016
Gravitation

138237 A mass $M$ is split into two parts $m_{0}$ and $M-m_{0}$. These two masses are then separated by a distance $D$. If the gravitational force between the parts is maximum, then the ratio $\frac{\mathbf{m}_{\mathbf{0}}}{\mathbf{M}}$ is

1 0.2
2 0.4
3 0.5
4 0.6
AMU 2000
Gravitation

138238 A planet is moving in an elliptical orbit around the sun. The work done on the planet by the gravitational force of the sun
(i) is zero in no part of the motion.
(ii) is zero in some parts of the orbit.
(iii) is zero in one complete revolution.
(iv) is zero in any small part of the orbit.
Which of the following is true?

1 Only (iii) is true
2 (ii), (iii) and (iv) are true
3 (ii) and (iii) are true
4 Only (i) is true
TS- EAMCET-11.09.2020
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Gravitation

138234 A man of mass $m$ starts falling towards a planet of mass $M$ and radius $R$. As he reaches near to the surface, he realizes that he will pass through a small hole in the planet. As he enters the hole, he sees that the planet is really made of two pieces a spherical shell of negligible thickness of mass $2 \mathrm{M} / 3$ and a point mass $\mathrm{M} / 3$ at the centre. Change in the force of gravity experienced by the man is

1 $\frac{2}{3} \frac{\mathrm{GMm}}{\mathrm{R}^{2}}$
2 0
3 $\frac{1}{3} \frac{\mathrm{GMm}}{\mathrm{R}^{2}}$
4 $\frac{4}{3} \frac{\mathrm{GMm}}{\mathrm{R}^{2}}$
BITSAT-2011
Gravitation

138235 A very long (length $L$ ) cylindrical galaxy is made of uniformly distributed mass and has radius $R(R \lt \lt )$. A star outside the galaxy is orbiting the galaxy in a plane perpendicular to the galaxy and passing through its centre. If the time period of star is $T$ and its distance from the galaxy's axis is $r$, then

1 $\mathrm{T}^{2} \propto \mathrm{r}^{3}$
2 $\mathrm{T} \propto \mathrm{r}^{2}$
3 $\mathrm{T} \propto \mathrm{r}$
4 $\mathrm{T} \propto \sqrt{\mathrm{r}}$
CG PET -2016
Gravitation

138237 A mass $M$ is split into two parts $m_{0}$ and $M-m_{0}$. These two masses are then separated by a distance $D$. If the gravitational force between the parts is maximum, then the ratio $\frac{\mathbf{m}_{\mathbf{0}}}{\mathbf{M}}$ is

1 0.2
2 0.4
3 0.5
4 0.6
AMU 2000
Gravitation

138238 A planet is moving in an elliptical orbit around the sun. The work done on the planet by the gravitational force of the sun
(i) is zero in no part of the motion.
(ii) is zero in some parts of the orbit.
(iii) is zero in one complete revolution.
(iv) is zero in any small part of the orbit.
Which of the following is true?

1 Only (iii) is true
2 (ii), (iii) and (iv) are true
3 (ii) and (iii) are true
4 Only (i) is true
TS- EAMCET-11.09.2020
NEET DIGITAL LIBRARY
Gravitation

138234 A man of mass $m$ starts falling towards a planet of mass $M$ and radius $R$. As he reaches near to the surface, he realizes that he will pass through a small hole in the planet. As he enters the hole, he sees that the planet is really made of two pieces a spherical shell of negligible thickness of mass $2 \mathrm{M} / 3$ and a point mass $\mathrm{M} / 3$ at the centre. Change in the force of gravity experienced by the man is

1 $\frac{2}{3} \frac{\mathrm{GMm}}{\mathrm{R}^{2}}$
2 0
3 $\frac{1}{3} \frac{\mathrm{GMm}}{\mathrm{R}^{2}}$
4 $\frac{4}{3} \frac{\mathrm{GMm}}{\mathrm{R}^{2}}$
BITSAT-2011
Gravitation

138235 A very long (length $L$ ) cylindrical galaxy is made of uniformly distributed mass and has radius $R(R \lt \lt )$. A star outside the galaxy is orbiting the galaxy in a plane perpendicular to the galaxy and passing through its centre. If the time period of star is $T$ and its distance from the galaxy's axis is $r$, then

1 $\mathrm{T}^{2} \propto \mathrm{r}^{3}$
2 $\mathrm{T} \propto \mathrm{r}^{2}$
3 $\mathrm{T} \propto \mathrm{r}$
4 $\mathrm{T} \propto \sqrt{\mathrm{r}}$
CG PET -2016
Gravitation

138237 A mass $M$ is split into two parts $m_{0}$ and $M-m_{0}$. These two masses are then separated by a distance $D$. If the gravitational force between the parts is maximum, then the ratio $\frac{\mathbf{m}_{\mathbf{0}}}{\mathbf{M}}$ is

1 0.2
2 0.4
3 0.5
4 0.6
AMU 2000
Gravitation

138238 A planet is moving in an elliptical orbit around the sun. The work done on the planet by the gravitational force of the sun
(i) is zero in no part of the motion.
(ii) is zero in some parts of the orbit.
(iii) is zero in one complete revolution.
(iv) is zero in any small part of the orbit.
Which of the following is true?

1 Only (iii) is true
2 (ii), (iii) and (iv) are true
3 (ii) and (iii) are true
4 Only (i) is true
TS- EAMCET-11.09.2020
Join With Us for More Updates
Gravitation

138234 A man of mass $m$ starts falling towards a planet of mass $M$ and radius $R$. As he reaches near to the surface, he realizes that he will pass through a small hole in the planet. As he enters the hole, he sees that the planet is really made of two pieces a spherical shell of negligible thickness of mass $2 \mathrm{M} / 3$ and a point mass $\mathrm{M} / 3$ at the centre. Change in the force of gravity experienced by the man is

1 $\frac{2}{3} \frac{\mathrm{GMm}}{\mathrm{R}^{2}}$
2 0
3 $\frac{1}{3} \frac{\mathrm{GMm}}{\mathrm{R}^{2}}$
4 $\frac{4}{3} \frac{\mathrm{GMm}}{\mathrm{R}^{2}}$
BITSAT-2011
Gravitation

138235 A very long (length $L$ ) cylindrical galaxy is made of uniformly distributed mass and has radius $R(R \lt \lt )$. A star outside the galaxy is orbiting the galaxy in a plane perpendicular to the galaxy and passing through its centre. If the time period of star is $T$ and its distance from the galaxy's axis is $r$, then

1 $\mathrm{T}^{2} \propto \mathrm{r}^{3}$
2 $\mathrm{T} \propto \mathrm{r}^{2}$
3 $\mathrm{T} \propto \mathrm{r}$
4 $\mathrm{T} \propto \sqrt{\mathrm{r}}$
CG PET -2016
Gravitation

138237 A mass $M$ is split into two parts $m_{0}$ and $M-m_{0}$. These two masses are then separated by a distance $D$. If the gravitational force between the parts is maximum, then the ratio $\frac{\mathbf{m}_{\mathbf{0}}}{\mathbf{M}}$ is

1 0.2
2 0.4
3 0.5
4 0.6
AMU 2000
Gravitation

138238 A planet is moving in an elliptical orbit around the sun. The work done on the planet by the gravitational force of the sun
(i) is zero in no part of the motion.
(ii) is zero in some parts of the orbit.
(iii) is zero in one complete revolution.
(iv) is zero in any small part of the orbit.
Which of the following is true?

1 Only (iii) is true
2 (ii), (iii) and (iv) are true
3 (ii) and (iii) are true
4 Only (i) is true
TS- EAMCET-11.09.2020
For More Updates join with Us