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In a certain region of space, the gravit...

In a certain region of space, the gravitational field is given by `-(k)/(r)` where `r` is the distance and k is a constant. If the gravitaional potential at `r=r_(0)` be `V_(0)`, then what is the expression for the gravitaional potential (V)-

A

`k "In" (r//r_(0))`

B

`k "In" (r_(0)//r)`

C

`V_(0)k"in"(r//r_(0))`

D

`V_(0)+k"In"(r_(0)//r)`

Text Solution

Verified by Experts

The correct Answer is:
C

Here `I=-(dV)/(dr)=k//r` (or) `dV=k(dr)/r` then integrate
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NARAYNA-GRAVITATION-EXERCISE -IV
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  2. Gravitational field intensity at the centre of the semi circle formed ...

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  3. Two equal masses each m are hung from a balance whose scale pans diffe...

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  4. Find the gravitational potential energy of a system of four particles,...

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  5. A thin uniform annula disc (see figure) of mass M has outer radius 4R ...

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  6. The gravitational force in a region is given by, vec(F)=mayhati+maxhat...

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  7. The gravitational field in a region due to a certain mass distribution...

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  8. A particle of mass 1kg is placed at a distance of 4m from the centre a...

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  9. Consider two configuration in fig (i) and fig (ii) The work done ...

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  10. Two concentric sphereical shells A and B of radii R and 2R and masses ...

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  11. A particle is placed in a field characterized by a value of gravitatio...

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  12. In a certain region of space, the gravitational field is given by -(k)...

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  13. Graviational acceleration on the surface of plane fo (sqrt6)/(11)g. wh...

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  14. A spherically symmetric gravitational system of particles has a mass d...

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  15. A satellite is moving with a constant speed 'V' in a circular orbit ab...

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  16. If earth were to rotate on its own axis such that the weight of a pers...

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  17. Two identical thin ring each of radius R are co-axially placed at a di...

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  18. Two bodies of masses m and M are placed at distance d apart. The gravi...

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  19. An asteroids as moving towards a planet of mass M and radius R,from a ...

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  20. A satellite is revolving in a circular orbit at a height 'h' from the ...

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