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The value of universal gravitational con...

The value of universal gravitational constant G depends upon :

A

Nature of material of two bodies

B

Heat constant of two bodies

C

Acceleration of two bodies

D

None of these

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To determine what the universal gravitational constant \( G \) depends upon, let's analyze the options provided and the nature of \( G \). ### Step-by-Step Solution: 1. **Understanding the Universal Gravitational Constant \( G \)**: - The universal gravitational constant \( G \) is a fundamental physical constant that appears in Newton's law of universal gravitation. It quantifies the strength of the gravitational force between two masses. 2. **Newton's Law of Gravitation**: - According to Newton's law, the gravitational force \( F \) between two masses \( m_1 \) and \( m_2 \) separated by a distance \( r \) is given by: \[ F = \frac{G m_1 m_2}{r^2} \] - Here, \( G \) is the proportionality constant that makes the equation dimensionally consistent and correct. 3. **Analyzing the Options**: - The question provides several options regarding what \( G \) depends upon: - A) Nature of material of the two bodies - B) Heat constant of the two bodies - C) Acceleration of the two bodies - D) None of these 4. **Evaluating Each Option**: - **Option A**: The nature of the material of the two bodies does not affect \( G \). It is a constant regardless of the materials involved. - **Option B**: The heat constant of the two bodies is not relevant to the value of \( G \). - **Option C**: The acceleration of the two bodies does not influence the value of \( G \). - **Option D**: Since \( G \) is a universal constant, it does not depend on any of the factors mentioned in the other options. 5. **Conclusion**: - Since \( G \) is a universal constant, the correct answer is: \[ \text{D) None of these} \]
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ALLEN-GRAVITATION-EXERCISE 1
  1. Mass particles of 1 kg each are placed along x-axus at x=1, 2, 4, 8, ....

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  2. Gravitational force between two masses at a distance 'd' apart is 6N. ...

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  3. The value of universal gravitational constant G depends upon :

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  4. Three identical bodies (each mass M) are placed at vertices of an equi...

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  5. Four particle having masses m, 2m, 3m and 4m are placed at the four co...

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  6. Tidal waves in the sea are primarily due to

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  7. During the journey of space ship from earth to moon and back, the maxi...

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  8. The distance of the centres of moon the earth is D. The mass of earth ...

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  9. A satellite of the earth is revolving in a circular orbit with a unifo...

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  10. Following curve shows the variation of intesity of gravitational field...

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  11. Suppose the acceleration due to gravity at earth's surface is 10ms^-2 ...

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  12. Assume that a tunnel is dug through earth from North pole to south pol...

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  13. Mars has a diameter of approximately 0.5 of that of earth, and mass of...

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  14. Three equal masses of 1 kg each are placed at the vertices of an equil...

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  15. One can easily "weigh the earth" by calculating the mass of earth usin...

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  16. The value of 'g' on earth surface depends :-

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  17. The value of 'g' reduces to half of its value at surface of earth at a...

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  18. The acceleration due to gravity on a planet is 1.96 ms^(-1). If it is ...

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  19. Diameter and mass of a planet is double that earth. Then time period o...

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  20. Gravitation on moon is (1)/(6) th of that on earth. When a balloon fil...

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