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The gravitational field due to a mass di...

The gravitational field due to a mass distribution is given by `l=kx^(-3//2)` in x-direction, where k is a positive constant. Taking potential to be zero at infinity, find its value at a distance x.

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To find the gravitational potential \( V \) at a distance \( x \) given the gravitational field \( E = kx^{-3/2} \), we can follow these steps: ### Step 1: Understand the relationship between gravitational field and potential The gravitational field \( E \) is related to the gravitational potential \( V \) by the equation: \[ E = -\frac{dV}{dx} \] This means that the gravitational field is the negative gradient of the potential. ...
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AAKASH INSTITUTE ENGLISH-GRAVITATION -ASSIGNMENT SECTION - D (ASSERTION-REASON TYPE QUESTIONS)
  1. The gravitational field due to a mass distribution is given by l=kx^(-...

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  2. A : The gravitational force does not depend on the intervening med...

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  3. A : The acceleration due to gravity for an is independent from its m...

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  4. A : If angular speed of the earth increases , the effective g will d...

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  5. A : The gravitational field intensity is zero everywhere inside a...

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  6. A: The value of potential energy depends on the reference taken fo...

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  7. A: When a satellite is orbiting then no energy is required to keep...

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  8. An astronaut experiences weightlessness in a space satellite. It is be...

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  9. A: The speed of a planet is maximum at perihelion . R : The ang...

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  10. A : Kepler's third law of planetary motion is valid only for invers...

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  11. A : Kepler's law cannot be used for asteroids and comets . R: Ast...

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  12. A : During orbital motion of planet around the sun work done by ...

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  13. A : Angular momentum of a satellite about a planet is constant . R...

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  14. A : Gravitational potential is constant everywhere inside a spherica...

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  15. A : Field created by the point mass in its surroundings is a non - u...

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  16. A : Work done by the gravitational force is positive when the two ...

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