Gravitational Field
PHXI08:GRAVITATION

359854 The following figure shows two shells of masses \(m_{1}\) and \(m_{2}\). The shells are concentric. At which point, a particle of mass \(m\) shall experience zero force?
supporting img

1 \(B\)
2 \(A\)
3 \(D\)
4 \(C\)
PHXI08:GRAVITATION

359855 Intensity of gravitational field inside the hollow spherical shell is

1 Variable
2 Minimum
3 Maximum
4 Zero
PHXI08:GRAVITATION

359856 Assertion :
If earth were a hollow sphere, gravitational field intensity at any point inside the earth would be zero.
Reason :
Net force on a body inside the sphere is zero.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI08:GRAVITATION

359857 A solid sphere of mass \(M\) and radius \(R\) has a spherical cavity of radius \(R / 2\) such that the centre of cavity is at a distance \(R / 2\) from the centre of the sphere. A point mass \(m\) is placed inside the cavity at a distance \(R / 4\) from the centre of sphere. The gravitational pull between the sphere and the point mass \(m\) is

1 \(\dfrac{11 G M m}{R^{2}}\)
2 \(\dfrac{14 G M m}{R^{2}}\)
3 \(\dfrac{G M m}{2 R^{2}}\)
4 \(\dfrac{G M m}{R^{2}}\)
PHXI08:GRAVITATION

359858 A very long (length \(L\)) cylindrical galaxy is made of uniformly distributed mass and has radius \(R(R < < L)\). A star outside the galaxy is orbiting the galaxy in a plane perpendicular to the galaxy and passing through centre if the time period of star is \(T\) and its distance from the galaxy's axis is \(r\), then :

1 \(T \alpha \sqrt{r}\)
2 \(T\alpha \,{r^2}\)
3 \(T\alpha \,r\)
4 \({T^2}\alpha \,{r^3}\)
PHXI08:GRAVITATION

359854 The following figure shows two shells of masses \(m_{1}\) and \(m_{2}\). The shells are concentric. At which point, a particle of mass \(m\) shall experience zero force?
supporting img

1 \(B\)
2 \(A\)
3 \(D\)
4 \(C\)
PHXI08:GRAVITATION

359855 Intensity of gravitational field inside the hollow spherical shell is

1 Variable
2 Minimum
3 Maximum
4 Zero
PHXI08:GRAVITATION

359856 Assertion :
If earth were a hollow sphere, gravitational field intensity at any point inside the earth would be zero.
Reason :
Net force on a body inside the sphere is zero.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI08:GRAVITATION

359857 A solid sphere of mass \(M\) and radius \(R\) has a spherical cavity of radius \(R / 2\) such that the centre of cavity is at a distance \(R / 2\) from the centre of the sphere. A point mass \(m\) is placed inside the cavity at a distance \(R / 4\) from the centre of sphere. The gravitational pull between the sphere and the point mass \(m\) is

1 \(\dfrac{11 G M m}{R^{2}}\)
2 \(\dfrac{14 G M m}{R^{2}}\)
3 \(\dfrac{G M m}{2 R^{2}}\)
4 \(\dfrac{G M m}{R^{2}}\)
PHXI08:GRAVITATION

359858 A very long (length \(L\)) cylindrical galaxy is made of uniformly distributed mass and has radius \(R(R < < L)\). A star outside the galaxy is orbiting the galaxy in a plane perpendicular to the galaxy and passing through centre if the time period of star is \(T\) and its distance from the galaxy's axis is \(r\), then :

1 \(T \alpha \sqrt{r}\)
2 \(T\alpha \,{r^2}\)
3 \(T\alpha \,r\)
4 \({T^2}\alpha \,{r^3}\)
PHXI08:GRAVITATION

359854 The following figure shows two shells of masses \(m_{1}\) and \(m_{2}\). The shells are concentric. At which point, a particle of mass \(m\) shall experience zero force?
supporting img

1 \(B\)
2 \(A\)
3 \(D\)
4 \(C\)
PHXI08:GRAVITATION

359855 Intensity of gravitational field inside the hollow spherical shell is

1 Variable
2 Minimum
3 Maximum
4 Zero
PHXI08:GRAVITATION

359856 Assertion :
If earth were a hollow sphere, gravitational field intensity at any point inside the earth would be zero.
Reason :
Net force on a body inside the sphere is zero.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI08:GRAVITATION

359857 A solid sphere of mass \(M\) and radius \(R\) has a spherical cavity of radius \(R / 2\) such that the centre of cavity is at a distance \(R / 2\) from the centre of the sphere. A point mass \(m\) is placed inside the cavity at a distance \(R / 4\) from the centre of sphere. The gravitational pull between the sphere and the point mass \(m\) is

1 \(\dfrac{11 G M m}{R^{2}}\)
2 \(\dfrac{14 G M m}{R^{2}}\)
3 \(\dfrac{G M m}{2 R^{2}}\)
4 \(\dfrac{G M m}{R^{2}}\)
PHXI08:GRAVITATION

359858 A very long (length \(L\)) cylindrical galaxy is made of uniformly distributed mass and has radius \(R(R < < L)\). A star outside the galaxy is orbiting the galaxy in a plane perpendicular to the galaxy and passing through centre if the time period of star is \(T\) and its distance from the galaxy's axis is \(r\), then :

1 \(T \alpha \sqrt{r}\)
2 \(T\alpha \,{r^2}\)
3 \(T\alpha \,r\)
4 \({T^2}\alpha \,{r^3}\)
PHXI08:GRAVITATION

359854 The following figure shows two shells of masses \(m_{1}\) and \(m_{2}\). The shells are concentric. At which point, a particle of mass \(m\) shall experience zero force?
supporting img

1 \(B\)
2 \(A\)
3 \(D\)
4 \(C\)
PHXI08:GRAVITATION

359855 Intensity of gravitational field inside the hollow spherical shell is

1 Variable
2 Minimum
3 Maximum
4 Zero
PHXI08:GRAVITATION

359856 Assertion :
If earth were a hollow sphere, gravitational field intensity at any point inside the earth would be zero.
Reason :
Net force on a body inside the sphere is zero.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI08:GRAVITATION

359857 A solid sphere of mass \(M\) and radius \(R\) has a spherical cavity of radius \(R / 2\) such that the centre of cavity is at a distance \(R / 2\) from the centre of the sphere. A point mass \(m\) is placed inside the cavity at a distance \(R / 4\) from the centre of sphere. The gravitational pull between the sphere and the point mass \(m\) is

1 \(\dfrac{11 G M m}{R^{2}}\)
2 \(\dfrac{14 G M m}{R^{2}}\)
3 \(\dfrac{G M m}{2 R^{2}}\)
4 \(\dfrac{G M m}{R^{2}}\)
PHXI08:GRAVITATION

359858 A very long (length \(L\)) cylindrical galaxy is made of uniformly distributed mass and has radius \(R(R < < L)\). A star outside the galaxy is orbiting the galaxy in a plane perpendicular to the galaxy and passing through centre if the time period of star is \(T\) and its distance from the galaxy's axis is \(r\), then :

1 \(T \alpha \sqrt{r}\)
2 \(T\alpha \,{r^2}\)
3 \(T\alpha \,r\)
4 \({T^2}\alpha \,{r^3}\)
PHXI08:GRAVITATION

359854 The following figure shows two shells of masses \(m_{1}\) and \(m_{2}\). The shells are concentric. At which point, a particle of mass \(m\) shall experience zero force?
supporting img

1 \(B\)
2 \(A\)
3 \(D\)
4 \(C\)
PHXI08:GRAVITATION

359855 Intensity of gravitational field inside the hollow spherical shell is

1 Variable
2 Minimum
3 Maximum
4 Zero
PHXI08:GRAVITATION

359856 Assertion :
If earth were a hollow sphere, gravitational field intensity at any point inside the earth would be zero.
Reason :
Net force on a body inside the sphere is zero.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI08:GRAVITATION

359857 A solid sphere of mass \(M\) and radius \(R\) has a spherical cavity of radius \(R / 2\) such that the centre of cavity is at a distance \(R / 2\) from the centre of the sphere. A point mass \(m\) is placed inside the cavity at a distance \(R / 4\) from the centre of sphere. The gravitational pull between the sphere and the point mass \(m\) is

1 \(\dfrac{11 G M m}{R^{2}}\)
2 \(\dfrac{14 G M m}{R^{2}}\)
3 \(\dfrac{G M m}{2 R^{2}}\)
4 \(\dfrac{G M m}{R^{2}}\)
PHXI08:GRAVITATION

359858 A very long (length \(L\)) cylindrical galaxy is made of uniformly distributed mass and has radius \(R(R < < L)\). A star outside the galaxy is orbiting the galaxy in a plane perpendicular to the galaxy and passing through centre if the time period of star is \(T\) and its distance from the galaxy's axis is \(r\), then :

1 \(T \alpha \sqrt{r}\)
2 \(T\alpha \,{r^2}\)
3 \(T\alpha \,r\)
4 \({T^2}\alpha \,{r^3}\)