Universal Law of Gravitation and G
PHXI08:GRAVITATION

360061 Gravitational force between a point mass \(m\) and \(M\) separated by a distance is \(F\). Now if a point mass 2\(m\) is placed next to \(m\) in contant with it, the force on \(M\) due to \(m\) and the total force on \(M\) are

1 \(2 F, F\)
2 \(F,2F\)
3 \(F,\,3F\)
4 \(F, F\)
PHXI08:GRAVITATION

360062 Correct form of gravitational law is

1 \(\vec{F}=\dfrac{G m_{1} m_{2} \vec{r}}{r^{3}}\)
2 \(\vec{F}=-\dfrac{G m_{1} m_{2}}{r^{3}} \vec{r}\)
3 \(\vec{F}=-\dfrac{G m_{1} m_{2}}{r^{3}}\)
4 \(\vec{F}=-\dfrac{G m_{1} m_{2}}{r^{2}}\)
PHXI08:GRAVITATION

360063 The force between a hollow sphere and a point mass at \(P\) inside it as shown in the figure is
supporting img

1 attractive and constant
2 attractive and depends on the position of the point with respect to centre \(C\).
3 zero
4 repulsive and constant.
PHXI08:GRAVITATION

360064 Two satellites \(A\) and \(B\) of the same mass are revolving around the earth in the concentric circular orbits such that the distance of satellite \(B\) from the centre of the earth is thrice as compared to the distance of the satellite \(A\) from the centre of the earth. The ratio of the centripetal force acting on \(B\) as compared to that on \(A\) is

1 \(\dfrac{1}{3}\)
2 3
3 \(\dfrac{1}{9}\)
4 \(\dfrac{1}{\sqrt{3}}\)
PHXI08:GRAVITATION

360061 Gravitational force between a point mass \(m\) and \(M\) separated by a distance is \(F\). Now if a point mass 2\(m\) is placed next to \(m\) in contant with it, the force on \(M\) due to \(m\) and the total force on \(M\) are

1 \(2 F, F\)
2 \(F,2F\)
3 \(F,\,3F\)
4 \(F, F\)
PHXI08:GRAVITATION

360062 Correct form of gravitational law is

1 \(\vec{F}=\dfrac{G m_{1} m_{2} \vec{r}}{r^{3}}\)
2 \(\vec{F}=-\dfrac{G m_{1} m_{2}}{r^{3}} \vec{r}\)
3 \(\vec{F}=-\dfrac{G m_{1} m_{2}}{r^{3}}\)
4 \(\vec{F}=-\dfrac{G m_{1} m_{2}}{r^{2}}\)
PHXI08:GRAVITATION

360063 The force between a hollow sphere and a point mass at \(P\) inside it as shown in the figure is
supporting img

1 attractive and constant
2 attractive and depends on the position of the point with respect to centre \(C\).
3 zero
4 repulsive and constant.
PHXI08:GRAVITATION

360064 Two satellites \(A\) and \(B\) of the same mass are revolving around the earth in the concentric circular orbits such that the distance of satellite \(B\) from the centre of the earth is thrice as compared to the distance of the satellite \(A\) from the centre of the earth. The ratio of the centripetal force acting on \(B\) as compared to that on \(A\) is

1 \(\dfrac{1}{3}\)
2 3
3 \(\dfrac{1}{9}\)
4 \(\dfrac{1}{\sqrt{3}}\)
PHXI08:GRAVITATION

360061 Gravitational force between a point mass \(m\) and \(M\) separated by a distance is \(F\). Now if a point mass 2\(m\) is placed next to \(m\) in contant with it, the force on \(M\) due to \(m\) and the total force on \(M\) are

1 \(2 F, F\)
2 \(F,2F\)
3 \(F,\,3F\)
4 \(F, F\)
PHXI08:GRAVITATION

360062 Correct form of gravitational law is

1 \(\vec{F}=\dfrac{G m_{1} m_{2} \vec{r}}{r^{3}}\)
2 \(\vec{F}=-\dfrac{G m_{1} m_{2}}{r^{3}} \vec{r}\)
3 \(\vec{F}=-\dfrac{G m_{1} m_{2}}{r^{3}}\)
4 \(\vec{F}=-\dfrac{G m_{1} m_{2}}{r^{2}}\)
PHXI08:GRAVITATION

360063 The force between a hollow sphere and a point mass at \(P\) inside it as shown in the figure is
supporting img

1 attractive and constant
2 attractive and depends on the position of the point with respect to centre \(C\).
3 zero
4 repulsive and constant.
PHXI08:GRAVITATION

360064 Two satellites \(A\) and \(B\) of the same mass are revolving around the earth in the concentric circular orbits such that the distance of satellite \(B\) from the centre of the earth is thrice as compared to the distance of the satellite \(A\) from the centre of the earth. The ratio of the centripetal force acting on \(B\) as compared to that on \(A\) is

1 \(\dfrac{1}{3}\)
2 3
3 \(\dfrac{1}{9}\)
4 \(\dfrac{1}{\sqrt{3}}\)
PHXI08:GRAVITATION

360061 Gravitational force between a point mass \(m\) and \(M\) separated by a distance is \(F\). Now if a point mass 2\(m\) is placed next to \(m\) in contant with it, the force on \(M\) due to \(m\) and the total force on \(M\) are

1 \(2 F, F\)
2 \(F,2F\)
3 \(F,\,3F\)
4 \(F, F\)
PHXI08:GRAVITATION

360062 Correct form of gravitational law is

1 \(\vec{F}=\dfrac{G m_{1} m_{2} \vec{r}}{r^{3}}\)
2 \(\vec{F}=-\dfrac{G m_{1} m_{2}}{r^{3}} \vec{r}\)
3 \(\vec{F}=-\dfrac{G m_{1} m_{2}}{r^{3}}\)
4 \(\vec{F}=-\dfrac{G m_{1} m_{2}}{r^{2}}\)
PHXI08:GRAVITATION

360063 The force between a hollow sphere and a point mass at \(P\) inside it as shown in the figure is
supporting img

1 attractive and constant
2 attractive and depends on the position of the point with respect to centre \(C\).
3 zero
4 repulsive and constant.
PHXI08:GRAVITATION

360064 Two satellites \(A\) and \(B\) of the same mass are revolving around the earth in the concentric circular orbits such that the distance of satellite \(B\) from the centre of the earth is thrice as compared to the distance of the satellite \(A\) from the centre of the earth. The ratio of the centripetal force acting on \(B\) as compared to that on \(A\) is

1 \(\dfrac{1}{3}\)
2 3
3 \(\dfrac{1}{9}\)
4 \(\dfrac{1}{\sqrt{3}}\)