Two spheres of masses \(m\) and \(M\) are situated in air and the gravitational force between them is \(F.\) If the space around the masses is filled with a liquid of specific density \(3,\) the gravitational force will become:
1. \(3F\)
2. \(F\)
3. \(F/3\)
4. \(F/9\)
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyMass \(M\) 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. | \(\frac{1}{2}\) | 2. | \(\frac{3}{5}\) |
3. | \(1\) | 4. | \(2\) |
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyTwo particles of mass \(m\) and \(4m\) are separated by a distance \(r.\) Their neutral point is at:
1. \(\frac{r}{2}~\text{from}~m\)
2. \(\frac{r}{3}~\text{from}~4m\)
3. \(\frac{r}{3}~\text{from}~m\)
4. \(\frac{r}{4}~\text{from}~4m\)
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyThree identical point masses, each of mass \(1\) kg lie at three points \((0,0)\), \((0,0.2~\text{m})\), \((0.2~\text{m}, 0)\). The net gravitational force on the mass at the origin is:
1. \(6.67\times 10^{-9}(\hat i +\hat j)~\text{N}\)
2. \(1.67\times 10^{-9}(\hat i +\hat j) ~\text{N}\)
3. \(1.67\times 10^{-9}(\hat i -\hat j) ~\text{N}\)
4. \(1.67\times 10^{-9}(-\hat i -\hat j) ~\text{N}\)
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologySuppose the gravitational force varies inversely as the \(n^{th}\)
1. \(R^{\left(\frac{n+1}{2}\right)}\)
2. \(R^{\left(\frac{n-1}{2}\right)}\)
3. \(R^n\)
4. \(R^{\left(\frac{n-2}{2}\right)}\)
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyStatement I: | The gravitational force exerted by the Sun on the Earth is reduced when the Moon is between the Earth and the Sun. |
Statement II: | The gravitational force exerted by the Sun on the Earth is reduced when the Moon is opposite to the Sun, relative to the Earth. |
1. | Statement I is incorrect and Statement II is correct. |
2. | Both Statement I and Statement II are correct. |
3. | Both Statement I and Statement II are incorrect. |
4. | Statement I is correct and Statement II is incorrect. |
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyTwo spherical bodies of masses \(M\) and \(5M\) and radii \(R\) and \(2R\) are released in free space with initial separation between their centres equal to \(12R.\) If they attract each other due to gravitational force only, then the distance covered by the smaller body before the collision is:
1. | \(2.5R\) | 2. | \(4.5R\) |
3. | \(7.5R\) | 4. | \(1.5R\) |
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyTwo identical hollow spheres of negligible thickness are placed in contact with each other. The force of gravitation between the spheres will be proportional to (\(R\) = radius of each sphere):
1. \(R\)
2. \(R^2\)
3. \(R^4\)
4. \(R^3\)
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyTwo identical solid copper spheres of radius \(R\) are placed in contact with each other. The gravitational attraction between them is proportional to:
1. \(R^2\)
2. \(R^{-2}\)
3. \(R^4\)
4. \(R^{-4}\)
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & Biology1. | depends on the system of units only. |
2. | depends on the medium between masses only. |
3. | depends on both (a) and (b). |
4. | is independent of both (a) and (b). |
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & Biology