270626
Two metal spheres each of radius ' \(r\) ' are kept in contact with each other. If \(d\) is the density of the material of the sphere, then the gravitational force between those spheres is proportional to
1 \(d^{2} r^{6}\)
2 \(d^{2} r^{4}\)
3 \(\frac{d^{2}}{r^{4}}\)
4 \(\frac{r^{2}}{d^{2}}\)
Explanation:
\(\quad F=\frac{G m_{1} m_{2}}{R^{2}}\), Here, \(\mathrm{m}=(\mathrm{Vol})(\) den \()\)
Gravitation
270627
Two lead spheres of same radius are in contact with each other. The gravitational force of attraction between them is \(F\). If two lead spheres of double the previous radius are in contact with each other, the gravitational force of attraction between them will be
1 \(2 \mathrm{~F}\)
2 \(32 \mathrm{~F}\)
3 \(8 \mathrm{~F}\)
4 \(16 \mathrm{~F}\)
Explanation:
For solid spheres in contact \(F \boldsymbol{\alpha} R^{4}\)
Gravitation
270628
The gravitational force between two bodies is decreased by \(36 \%\) when the distance between them is increased by \(3 \mathrm{~m}\). The initial distance between them is
1 \(6 \mathrm{~m}\)
2 \(9 \mathrm{~m}\)
3 \(12 \mathrm{~m}\)
4 \(15 \mathrm{~m}\)
Explanation:
\(F=\frac{G m_{1} m_{2}}{R^{2}} \Rightarrow F \propto \frac{1}{R^{2}}\)
Gravitation
270629
Two particles of masses ' \(m\) ' and ' \(2 m\) ' are at a distance ' \(3 r\) ' apart at the ends of a straight line \(A B . C\) is the centre of mass of the system. The magnitude of the gravitational force on a unit mass placed at \(C\) due to the masses is
1 Zero
2 \(\frac{7 G m}{4 r^{2}}\)
3 \(\frac{9 G m}{4 r^{2}}\)
4 \(\frac{3 G m}{2 r^{2}}\)
Explanation:
\(F=\frac{G m_{1} m_{2}}{R^{2}}, F_{n e t}=F_{2}-F_{1}\)
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Gravitation
270626
Two metal spheres each of radius ' \(r\) ' are kept in contact with each other. If \(d\) is the density of the material of the sphere, then the gravitational force between those spheres is proportional to
1 \(d^{2} r^{6}\)
2 \(d^{2} r^{4}\)
3 \(\frac{d^{2}}{r^{4}}\)
4 \(\frac{r^{2}}{d^{2}}\)
Explanation:
\(\quad F=\frac{G m_{1} m_{2}}{R^{2}}\), Here, \(\mathrm{m}=(\mathrm{Vol})(\) den \()\)
Gravitation
270627
Two lead spheres of same radius are in contact with each other. The gravitational force of attraction between them is \(F\). If two lead spheres of double the previous radius are in contact with each other, the gravitational force of attraction between them will be
1 \(2 \mathrm{~F}\)
2 \(32 \mathrm{~F}\)
3 \(8 \mathrm{~F}\)
4 \(16 \mathrm{~F}\)
Explanation:
For solid spheres in contact \(F \boldsymbol{\alpha} R^{4}\)
Gravitation
270628
The gravitational force between two bodies is decreased by \(36 \%\) when the distance between them is increased by \(3 \mathrm{~m}\). The initial distance between them is
1 \(6 \mathrm{~m}\)
2 \(9 \mathrm{~m}\)
3 \(12 \mathrm{~m}\)
4 \(15 \mathrm{~m}\)
Explanation:
\(F=\frac{G m_{1} m_{2}}{R^{2}} \Rightarrow F \propto \frac{1}{R^{2}}\)
Gravitation
270629
Two particles of masses ' \(m\) ' and ' \(2 m\) ' are at a distance ' \(3 r\) ' apart at the ends of a straight line \(A B . C\) is the centre of mass of the system. The magnitude of the gravitational force on a unit mass placed at \(C\) due to the masses is
1 Zero
2 \(\frac{7 G m}{4 r^{2}}\)
3 \(\frac{9 G m}{4 r^{2}}\)
4 \(\frac{3 G m}{2 r^{2}}\)
Explanation:
\(F=\frac{G m_{1} m_{2}}{R^{2}}, F_{n e t}=F_{2}-F_{1}\)
270626
Two metal spheres each of radius ' \(r\) ' are kept in contact with each other. If \(d\) is the density of the material of the sphere, then the gravitational force between those spheres is proportional to
1 \(d^{2} r^{6}\)
2 \(d^{2} r^{4}\)
3 \(\frac{d^{2}}{r^{4}}\)
4 \(\frac{r^{2}}{d^{2}}\)
Explanation:
\(\quad F=\frac{G m_{1} m_{2}}{R^{2}}\), Here, \(\mathrm{m}=(\mathrm{Vol})(\) den \()\)
Gravitation
270627
Two lead spheres of same radius are in contact with each other. The gravitational force of attraction between them is \(F\). If two lead spheres of double the previous radius are in contact with each other, the gravitational force of attraction between them will be
1 \(2 \mathrm{~F}\)
2 \(32 \mathrm{~F}\)
3 \(8 \mathrm{~F}\)
4 \(16 \mathrm{~F}\)
Explanation:
For solid spheres in contact \(F \boldsymbol{\alpha} R^{4}\)
Gravitation
270628
The gravitational force between two bodies is decreased by \(36 \%\) when the distance between them is increased by \(3 \mathrm{~m}\). The initial distance between them is
1 \(6 \mathrm{~m}\)
2 \(9 \mathrm{~m}\)
3 \(12 \mathrm{~m}\)
4 \(15 \mathrm{~m}\)
Explanation:
\(F=\frac{G m_{1} m_{2}}{R^{2}} \Rightarrow F \propto \frac{1}{R^{2}}\)
Gravitation
270629
Two particles of masses ' \(m\) ' and ' \(2 m\) ' are at a distance ' \(3 r\) ' apart at the ends of a straight line \(A B . C\) is the centre of mass of the system. The magnitude of the gravitational force on a unit mass placed at \(C\) due to the masses is
1 Zero
2 \(\frac{7 G m}{4 r^{2}}\)
3 \(\frac{9 G m}{4 r^{2}}\)
4 \(\frac{3 G m}{2 r^{2}}\)
Explanation:
\(F=\frac{G m_{1} m_{2}}{R^{2}}, F_{n e t}=F_{2}-F_{1}\)
270626
Two metal spheres each of radius ' \(r\) ' are kept in contact with each other. If \(d\) is the density of the material of the sphere, then the gravitational force between those spheres is proportional to
1 \(d^{2} r^{6}\)
2 \(d^{2} r^{4}\)
3 \(\frac{d^{2}}{r^{4}}\)
4 \(\frac{r^{2}}{d^{2}}\)
Explanation:
\(\quad F=\frac{G m_{1} m_{2}}{R^{2}}\), Here, \(\mathrm{m}=(\mathrm{Vol})(\) den \()\)
Gravitation
270627
Two lead spheres of same radius are in contact with each other. The gravitational force of attraction between them is \(F\). If two lead spheres of double the previous radius are in contact with each other, the gravitational force of attraction between them will be
1 \(2 \mathrm{~F}\)
2 \(32 \mathrm{~F}\)
3 \(8 \mathrm{~F}\)
4 \(16 \mathrm{~F}\)
Explanation:
For solid spheres in contact \(F \boldsymbol{\alpha} R^{4}\)
Gravitation
270628
The gravitational force between two bodies is decreased by \(36 \%\) when the distance between them is increased by \(3 \mathrm{~m}\). The initial distance between them is
1 \(6 \mathrm{~m}\)
2 \(9 \mathrm{~m}\)
3 \(12 \mathrm{~m}\)
4 \(15 \mathrm{~m}\)
Explanation:
\(F=\frac{G m_{1} m_{2}}{R^{2}} \Rightarrow F \propto \frac{1}{R^{2}}\)
Gravitation
270629
Two particles of masses ' \(m\) ' and ' \(2 m\) ' are at a distance ' \(3 r\) ' apart at the ends of a straight line \(A B . C\) is the centre of mass of the system. The magnitude of the gravitational force on a unit mass placed at \(C\) due to the masses is
1 Zero
2 \(\frac{7 G m}{4 r^{2}}\)
3 \(\frac{9 G m}{4 r^{2}}\)
4 \(\frac{3 G m}{2 r^{2}}\)
Explanation:
\(F=\frac{G m_{1} m_{2}}{R^{2}}, F_{n e t}=F_{2}-F_{1}\)
