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Four particles having masses, m, 2m, 3m,...

Four particles having masses, m, 2m, 3m, and 4m are placed at the four corners of a square of edge a. Find the gravitational force acting on a particle of mass m placed at the centre.

A

`(24m^(2)G)/(a^(2))`

B

`(6m^(2)G)/(a^(2))`

C

`(4sqrt(2)"Gm"^(2))/(a^(2))`

D

zero

Text Solution

Verified by Experts

The correct Answer is:
C
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MOTION-GRAVITATION-Exercise - 1 (Section - A :- Newtons Law of Gravitation & Gravitational Field, Potential and Potential Energy) 
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  2. Three identical bodies (each mass M) are placed at vertices of an equi...

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  3. Four particles having masses, m, 2m, 3m, and 4m are placed at the four...

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  4. Tidal waves in the sea are primarily due to

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

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

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

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  8. The diagram showing the variation of gravitational potential of earth ...

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

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

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

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

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  13. A particle falls on earth : (i) from infinity. (ii) from a height 10...

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  14. Two different masses are droped from same heights. When these just str...

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  15. The diagram showing the variation of gravitational potential of earth ...

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  16. Gravitational potential difference between surface of a planet and a p...

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  17. If M(e) is the mass of earth and M(m) is the mass of moon (M(e)=81 M(m...

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  18. The gravitational potential energy is maximum at :

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  19. A missile is launched with a velocity less than the escape velocity. T...

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  20. A body projected from the surface of the earth attains a height equal ...

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