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Assertion : If gravitational potential a...

Assertion : If gravitational potential at some point is zero, then gravitational field strength at that point will also be zero.
Reason : Except at infinity gravitational potential due to a system of point masses at some finite distance can't be zero.

A

If both Assertin and Reason are correct and Reason is the correct explanation of Assertion

B

If both Assertion and Reason are correct but Reason is not the correct explanation of Assertion

C

If Assertion is true but Reason is false

D

If Assertion is false but Reason is true

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The correct Answer is:
To solve the question, we need to analyze the assertion and the reason provided. ### Step 1: Understanding the Assertion The assertion states: "If gravitational potential at some point is zero, then gravitational field strength at that point will also be zero." - Gravitational potential (V) is defined as the work done per unit mass in bringing a mass from infinity to that point. - The gravitational field strength (E) is defined as the negative gradient of the gravitational potential, mathematically expressed as: \[ E = -\frac{dV}{dr} \] - Just because the gravitational potential is zero does not imply that the gravitational field strength is also zero. The field strength can still be non-zero if the potential changes with distance. ### Conclusion for Assertion Thus, the assertion is **false**. ### Step 2: Understanding the Reason The reason states: "Except at infinity, gravitational potential due to a system of point masses at some finite distance can't be zero." - Gravitational potential due to point masses is always negative or zero at infinity. - Since gravitational potential is a summation of contributions from all point masses, and since each contribution is negative (due to the attractive nature of gravity), the total potential cannot be zero at any finite distance. ### Conclusion for Reason Thus, the reason is **true**. ### Final Conclusion - The assertion is false, and the reason is true. Therefore, the correct answer is that the assertion does not follow from the reason. ---

To solve the question, we need to analyze the assertion and the reason provided. ### Step 1: Understanding the Assertion The assertion states: "If gravitational potential at some point is zero, then gravitational field strength at that point will also be zero." - Gravitational potential (V) is defined as the work done per unit mass in bringing a mass from infinity to that point. - The gravitational field strength (E) is defined as the negative gradient of the gravitational potential, mathematically expressed as: ...
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DC PANDEY ENGLISH-GRAVITATION-(B) Chapter Exercises
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  2. Assertion : One two sides of a point mass, gravitational field strengt...

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  3. Assertion : If gravitational potential at some point is zero, then gra...

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  6. Assertion : If a particle is projected from the surface of earth with ...

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  7. Assertion : On earth's satellite, we feel weightlessness. Moon is also...

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  8. Assertion : The centre of semicircular ring of mass m and radius R is...

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  9. Assertion : If the projuct of surface area and density is same for bot...

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  11. Assertion : Mass of the rod AB is m(1) and of particle P is m(2). Dist...

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  12. Assertion : Four point masses each of mass m are placed at points 1, 2...

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  13. Assertion : Let W(1) be the work done in taking away a satellite from ...

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  14. Assertion : Two spherical shells have masses m(1) and m(2). Their radi...

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  15. Match the following {:(,"Column-I",,"Column-II"),("(A)","Kepler's fi...

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  16. Density of a planet is two times the density of earth. Radius of this ...

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  17. On the surface of earth acceleration due gravity is g and gravitationa...

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  18. Let V and E denote the gravitational potential and gravitational field...

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  19. Two concentric spherical shells are as shown in figure. Match the foll...

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  20. Match of following columns {:(,"Column-I",,"Column-II"),("(A)",under...

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