Universal Law of Gravitation and G
PHXI08:GRAVITATION

360009 A metal wire of uniform mass density having length \(L\) and mass \(M\) is bent to form a semicircular arc and a particle of mass \(m\) is placed at the centre of the arc. The gravitational force on the particle by the wire is

1 \(\dfrac{2 G m M \pi}{L^{2}}\)
2 \(\dfrac{G m M \pi^{2}}{L^{2}}\)
3 \(\dfrac{G M m \pi}{2 L^{2}}\)
4 0
PHXI08:GRAVITATION

360010 A uniform ring of mass \(2 m\) and radius ' \(a\) ' is placed directly above a uniform sphere of mass \(M\) and of equal radius. The centre of ring is at distance \(\sqrt 3 a\) from the centre of sphere. The gravitational force exerted by the sphere on the ring is \(N\frac{{GMm}}{{{a^2}}}\) units. What is the value of \(N\) ?

1 0.01
2 0.43
3 0.95
4 0.2
PHXI08:GRAVITATION

360011 Assertion :
Weight of a body varies enroute from Earth to the Moon.
Reason :
Mass of the body remains same in above process.

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

360012 Two concentric shells of uniform density having mass \(M_{1}\) and \(M_{2}\) are situated as shown in the figure. The force on the particle of mass \(m\) when it is located at \(r=b\) is
supporting img

1 \(\dfrac{G M_{1} m}{b^{2}}\)
2 \(\dfrac{G M_{2} m}{b^{2}}\)
3 \(\dfrac{G\left(M_{1}+M_{2}\right) m}{b^{2}}\)
4 \(\dfrac{G\left(M_{1}-M_{2}\right) m}{b^{2}}\)
PHXI08:GRAVITATION

360013 Mass \(M\) is divided into two parts \(xm\) and \((1 - x)m\). For a given separation, the value of \(x\) for which the gravitational attraction between the two pieces becomes maximum is

1 2
2 \(1 / 2\)
3 \(3 / 5\)
4 1
PHXI08:GRAVITATION

360009 A metal wire of uniform mass density having length \(L\) and mass \(M\) is bent to form a semicircular arc and a particle of mass \(m\) is placed at the centre of the arc. The gravitational force on the particle by the wire is

1 \(\dfrac{2 G m M \pi}{L^{2}}\)
2 \(\dfrac{G m M \pi^{2}}{L^{2}}\)
3 \(\dfrac{G M m \pi}{2 L^{2}}\)
4 0
PHXI08:GRAVITATION

360010 A uniform ring of mass \(2 m\) and radius ' \(a\) ' is placed directly above a uniform sphere of mass \(M\) and of equal radius. The centre of ring is at distance \(\sqrt 3 a\) from the centre of sphere. The gravitational force exerted by the sphere on the ring is \(N\frac{{GMm}}{{{a^2}}}\) units. What is the value of \(N\) ?

1 0.01
2 0.43
3 0.95
4 0.2
PHXI08:GRAVITATION

360011 Assertion :
Weight of a body varies enroute from Earth to the Moon.
Reason :
Mass of the body remains same in above process.

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

360012 Two concentric shells of uniform density having mass \(M_{1}\) and \(M_{2}\) are situated as shown in the figure. The force on the particle of mass \(m\) when it is located at \(r=b\) is
supporting img

1 \(\dfrac{G M_{1} m}{b^{2}}\)
2 \(\dfrac{G M_{2} m}{b^{2}}\)
3 \(\dfrac{G\left(M_{1}+M_{2}\right) m}{b^{2}}\)
4 \(\dfrac{G\left(M_{1}-M_{2}\right) m}{b^{2}}\)
PHXI08:GRAVITATION

360013 Mass \(M\) is divided into two parts \(xm\) and \((1 - x)m\). For a given separation, the value of \(x\) for which the gravitational attraction between the two pieces becomes maximum is

1 2
2 \(1 / 2\)
3 \(3 / 5\)
4 1
PHXI08:GRAVITATION

360009 A metal wire of uniform mass density having length \(L\) and mass \(M\) is bent to form a semicircular arc and a particle of mass \(m\) is placed at the centre of the arc. The gravitational force on the particle by the wire is

1 \(\dfrac{2 G m M \pi}{L^{2}}\)
2 \(\dfrac{G m M \pi^{2}}{L^{2}}\)
3 \(\dfrac{G M m \pi}{2 L^{2}}\)
4 0
PHXI08:GRAVITATION

360010 A uniform ring of mass \(2 m\) and radius ' \(a\) ' is placed directly above a uniform sphere of mass \(M\) and of equal radius. The centre of ring is at distance \(\sqrt 3 a\) from the centre of sphere. The gravitational force exerted by the sphere on the ring is \(N\frac{{GMm}}{{{a^2}}}\) units. What is the value of \(N\) ?

1 0.01
2 0.43
3 0.95
4 0.2
PHXI08:GRAVITATION

360011 Assertion :
Weight of a body varies enroute from Earth to the Moon.
Reason :
Mass of the body remains same in above process.

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

360012 Two concentric shells of uniform density having mass \(M_{1}\) and \(M_{2}\) are situated as shown in the figure. The force on the particle of mass \(m\) when it is located at \(r=b\) is
supporting img

1 \(\dfrac{G M_{1} m}{b^{2}}\)
2 \(\dfrac{G M_{2} m}{b^{2}}\)
3 \(\dfrac{G\left(M_{1}+M_{2}\right) m}{b^{2}}\)
4 \(\dfrac{G\left(M_{1}-M_{2}\right) m}{b^{2}}\)
PHXI08:GRAVITATION

360013 Mass \(M\) is divided into two parts \(xm\) and \((1 - x)m\). For a given separation, the value of \(x\) for which the gravitational attraction between the two pieces becomes maximum is

1 2
2 \(1 / 2\)
3 \(3 / 5\)
4 1
PHXI08:GRAVITATION

360009 A metal wire of uniform mass density having length \(L\) and mass \(M\) is bent to form a semicircular arc and a particle of mass \(m\) is placed at the centre of the arc. The gravitational force on the particle by the wire is

1 \(\dfrac{2 G m M \pi}{L^{2}}\)
2 \(\dfrac{G m M \pi^{2}}{L^{2}}\)
3 \(\dfrac{G M m \pi}{2 L^{2}}\)
4 0
PHXI08:GRAVITATION

360010 A uniform ring of mass \(2 m\) and radius ' \(a\) ' is placed directly above a uniform sphere of mass \(M\) and of equal radius. The centre of ring is at distance \(\sqrt 3 a\) from the centre of sphere. The gravitational force exerted by the sphere on the ring is \(N\frac{{GMm}}{{{a^2}}}\) units. What is the value of \(N\) ?

1 0.01
2 0.43
3 0.95
4 0.2
PHXI08:GRAVITATION

360011 Assertion :
Weight of a body varies enroute from Earth to the Moon.
Reason :
Mass of the body remains same in above process.

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

360012 Two concentric shells of uniform density having mass \(M_{1}\) and \(M_{2}\) are situated as shown in the figure. The force on the particle of mass \(m\) when it is located at \(r=b\) is
supporting img

1 \(\dfrac{G M_{1} m}{b^{2}}\)
2 \(\dfrac{G M_{2} m}{b^{2}}\)
3 \(\dfrac{G\left(M_{1}+M_{2}\right) m}{b^{2}}\)
4 \(\dfrac{G\left(M_{1}-M_{2}\right) m}{b^{2}}\)
PHXI08:GRAVITATION

360013 Mass \(M\) is divided into two parts \(xm\) and \((1 - x)m\). For a given separation, the value of \(x\) for which the gravitational attraction between the two pieces becomes maximum is

1 2
2 \(1 / 2\)
3 \(3 / 5\)
4 1
PHXI08:GRAVITATION

360009 A metal wire of uniform mass density having length \(L\) and mass \(M\) is bent to form a semicircular arc and a particle of mass \(m\) is placed at the centre of the arc. The gravitational force on the particle by the wire is

1 \(\dfrac{2 G m M \pi}{L^{2}}\)
2 \(\dfrac{G m M \pi^{2}}{L^{2}}\)
3 \(\dfrac{G M m \pi}{2 L^{2}}\)
4 0
PHXI08:GRAVITATION

360010 A uniform ring of mass \(2 m\) and radius ' \(a\) ' is placed directly above a uniform sphere of mass \(M\) and of equal radius. The centre of ring is at distance \(\sqrt 3 a\) from the centre of sphere. The gravitational force exerted by the sphere on the ring is \(N\frac{{GMm}}{{{a^2}}}\) units. What is the value of \(N\) ?

1 0.01
2 0.43
3 0.95
4 0.2
PHXI08:GRAVITATION

360011 Assertion :
Weight of a body varies enroute from Earth to the Moon.
Reason :
Mass of the body remains same in above process.

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

360012 Two concentric shells of uniform density having mass \(M_{1}\) and \(M_{2}\) are situated as shown in the figure. The force on the particle of mass \(m\) when it is located at \(r=b\) is
supporting img

1 \(\dfrac{G M_{1} m}{b^{2}}\)
2 \(\dfrac{G M_{2} m}{b^{2}}\)
3 \(\dfrac{G\left(M_{1}+M_{2}\right) m}{b^{2}}\)
4 \(\dfrac{G\left(M_{1}-M_{2}\right) m}{b^{2}}\)
PHXI08:GRAVITATION

360013 Mass \(M\) is divided into two parts \(xm\) and \((1 - x)m\). For a given separation, the value of \(x\) for which the gravitational attraction between the two pieces becomes maximum is

1 2
2 \(1 / 2\)
3 \(3 / 5\)
4 1