Gravitational Field
PHXI08:GRAVITATION

359846 There are two bodies of masses 100 \(kg\) and \({10,000 {~kg}}\) separated by a distance of 1 \(m\) . At what distance from the smaller body, the intensity of gravitational field will be zero.

1 \({\dfrac{1}{9} {~m}}\)
2 \({\dfrac{1}{10} {~m}}\)
3 \({\dfrac{1}{11} {~m}}\)
4 \({\dfrac{10}{11} {~m}}\)
PHXI08:GRAVITATION

359847 Particles of masses \(m_{1}\) and \(m_{2}\) are at a fixed distance apart. If the gravitational field strength at \(m_{1}\) and \(m_{2}\) are \(\vec{I}_{1}\) and \(\vec{I}_{2}\) respectively. Then,

1 \(m_{1} \vec{I}_{1}+m_{2} \vec{I}_{2}=0\)
2 \(m_{1} \vec{I}_{2}+m_{2} \vec{I}_{1}=0\)
3 \(m_{1} \vec{I}_{1}-m_{2} \vec{I}_{2}=0\)
4 \(m_{1} \vec{I}_{2}-m_{2} \vec{I}_{1}=0\)
PHXI08:GRAVITATION

359848 At what distance (in metre) from the centre of the moon, the intensity of gravitational field will be zero? (Take, mass of earth and moon as \(5.98 \times 10^{24} \mathrm{~kg}\) and \(7.35 \times 10^{22} \mathrm{~kg}\) respectively and the distance between moon and earth is \(3.855 \times 10^{8} \mathrm{~m}\).)

1 zero
2 \(3.85 \times 10^{7}\)
3 \(8 \times 10^{8}\)
4 \(3.46 \times 10^{8}\)
PHXI08:GRAVITATION

359849 A solid sphere of mass \('M'\) and radius \('a'\) is surrounded by a uniform concentric spherical shell of thickness \(2 a\) and mass 2\(M\). The gravitational field at distance ' \(3 a\) ' from the centre will be:

1 \(\dfrac{2 G M}{9 a^{2}}\)
2 \(\dfrac{G M}{9 a^{2}}\)
3 \(\dfrac{G M}{3 a^{2}}\)
4 \(\dfrac{2 G M}{3 a^{2}}\)
PHXI08:GRAVITATION

359846 There are two bodies of masses 100 \(kg\) and \({10,000 {~kg}}\) separated by a distance of 1 \(m\) . At what distance from the smaller body, the intensity of gravitational field will be zero.

1 \({\dfrac{1}{9} {~m}}\)
2 \({\dfrac{1}{10} {~m}}\)
3 \({\dfrac{1}{11} {~m}}\)
4 \({\dfrac{10}{11} {~m}}\)
PHXI08:GRAVITATION

359847 Particles of masses \(m_{1}\) and \(m_{2}\) are at a fixed distance apart. If the gravitational field strength at \(m_{1}\) and \(m_{2}\) are \(\vec{I}_{1}\) and \(\vec{I}_{2}\) respectively. Then,

1 \(m_{1} \vec{I}_{1}+m_{2} \vec{I}_{2}=0\)
2 \(m_{1} \vec{I}_{2}+m_{2} \vec{I}_{1}=0\)
3 \(m_{1} \vec{I}_{1}-m_{2} \vec{I}_{2}=0\)
4 \(m_{1} \vec{I}_{2}-m_{2} \vec{I}_{1}=0\)
PHXI08:GRAVITATION

359848 At what distance (in metre) from the centre of the moon, the intensity of gravitational field will be zero? (Take, mass of earth and moon as \(5.98 \times 10^{24} \mathrm{~kg}\) and \(7.35 \times 10^{22} \mathrm{~kg}\) respectively and the distance between moon and earth is \(3.855 \times 10^{8} \mathrm{~m}\).)

1 zero
2 \(3.85 \times 10^{7}\)
3 \(8 \times 10^{8}\)
4 \(3.46 \times 10^{8}\)
PHXI08:GRAVITATION

359849 A solid sphere of mass \('M'\) and radius \('a'\) is surrounded by a uniform concentric spherical shell of thickness \(2 a\) and mass 2\(M\). The gravitational field at distance ' \(3 a\) ' from the centre will be:

1 \(\dfrac{2 G M}{9 a^{2}}\)
2 \(\dfrac{G M}{9 a^{2}}\)
3 \(\dfrac{G M}{3 a^{2}}\)
4 \(\dfrac{2 G M}{3 a^{2}}\)
PHXI08:GRAVITATION

359846 There are two bodies of masses 100 \(kg\) and \({10,000 {~kg}}\) separated by a distance of 1 \(m\) . At what distance from the smaller body, the intensity of gravitational field will be zero.

1 \({\dfrac{1}{9} {~m}}\)
2 \({\dfrac{1}{10} {~m}}\)
3 \({\dfrac{1}{11} {~m}}\)
4 \({\dfrac{10}{11} {~m}}\)
PHXI08:GRAVITATION

359847 Particles of masses \(m_{1}\) and \(m_{2}\) are at a fixed distance apart. If the gravitational field strength at \(m_{1}\) and \(m_{2}\) are \(\vec{I}_{1}\) and \(\vec{I}_{2}\) respectively. Then,

1 \(m_{1} \vec{I}_{1}+m_{2} \vec{I}_{2}=0\)
2 \(m_{1} \vec{I}_{2}+m_{2} \vec{I}_{1}=0\)
3 \(m_{1} \vec{I}_{1}-m_{2} \vec{I}_{2}=0\)
4 \(m_{1} \vec{I}_{2}-m_{2} \vec{I}_{1}=0\)
PHXI08:GRAVITATION

359848 At what distance (in metre) from the centre of the moon, the intensity of gravitational field will be zero? (Take, mass of earth and moon as \(5.98 \times 10^{24} \mathrm{~kg}\) and \(7.35 \times 10^{22} \mathrm{~kg}\) respectively and the distance between moon and earth is \(3.855 \times 10^{8} \mathrm{~m}\).)

1 zero
2 \(3.85 \times 10^{7}\)
3 \(8 \times 10^{8}\)
4 \(3.46 \times 10^{8}\)
PHXI08:GRAVITATION

359849 A solid sphere of mass \('M'\) and radius \('a'\) is surrounded by a uniform concentric spherical shell of thickness \(2 a\) and mass 2\(M\). The gravitational field at distance ' \(3 a\) ' from the centre will be:

1 \(\dfrac{2 G M}{9 a^{2}}\)
2 \(\dfrac{G M}{9 a^{2}}\)
3 \(\dfrac{G M}{3 a^{2}}\)
4 \(\dfrac{2 G M}{3 a^{2}}\)
PHXI08:GRAVITATION

359846 There are two bodies of masses 100 \(kg\) and \({10,000 {~kg}}\) separated by a distance of 1 \(m\) . At what distance from the smaller body, the intensity of gravitational field will be zero.

1 \({\dfrac{1}{9} {~m}}\)
2 \({\dfrac{1}{10} {~m}}\)
3 \({\dfrac{1}{11} {~m}}\)
4 \({\dfrac{10}{11} {~m}}\)
PHXI08:GRAVITATION

359847 Particles of masses \(m_{1}\) and \(m_{2}\) are at a fixed distance apart. If the gravitational field strength at \(m_{1}\) and \(m_{2}\) are \(\vec{I}_{1}\) and \(\vec{I}_{2}\) respectively. Then,

1 \(m_{1} \vec{I}_{1}+m_{2} \vec{I}_{2}=0\)
2 \(m_{1} \vec{I}_{2}+m_{2} \vec{I}_{1}=0\)
3 \(m_{1} \vec{I}_{1}-m_{2} \vec{I}_{2}=0\)
4 \(m_{1} \vec{I}_{2}-m_{2} \vec{I}_{1}=0\)
PHXI08:GRAVITATION

359848 At what distance (in metre) from the centre of the moon, the intensity of gravitational field will be zero? (Take, mass of earth and moon as \(5.98 \times 10^{24} \mathrm{~kg}\) and \(7.35 \times 10^{22} \mathrm{~kg}\) respectively and the distance between moon and earth is \(3.855 \times 10^{8} \mathrm{~m}\).)

1 zero
2 \(3.85 \times 10^{7}\)
3 \(8 \times 10^{8}\)
4 \(3.46 \times 10^{8}\)
PHXI08:GRAVITATION

359849 A solid sphere of mass \('M'\) and radius \('a'\) is surrounded by a uniform concentric spherical shell of thickness \(2 a\) and mass 2\(M\). The gravitational field at distance ' \(3 a\) ' from the centre will be:

1 \(\dfrac{2 G M}{9 a^{2}}\)
2 \(\dfrac{G M}{9 a^{2}}\)
3 \(\dfrac{G M}{3 a^{2}}\)
4 \(\dfrac{2 G M}{3 a^{2}}\)