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If 'A' is areal velocity of a planet of ...

If `'A'` is areal velocity of a planet of mass `M`, its angular momentum is

A

M/A

B

2MA

C

`A^(2)M`

D

`AM^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
`(dA)/(dt)=L/(2M)`
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Knowledge Check

  • The areal velocity of a planet of mass m moving in elliptical orbit around the sun with an angular momentum of L units is equal to

    A
    `(dA)/dt = L/m`
    B
    `(dA)/dt = (2m)/L`
    C
    `(dA)/dt = L/(2m)`
    D
    `(dA)/dt = m/L`

  • Assertion: A satellite is orbiting around a planet then its angular momentum is conserved Reason: Linear momentum conservation leads to angular momentum conservation.

    A
    If both assertion and reason are true and reason is the correct explanation of assertion.
    B
    If both assertion and reason are true but reason is not the correct explanation of assertion.
    C
    If assertion is true but reason is false.
    D
    If both assertion and reason are false.

  • If a particle of mass 1 gm is moving along a circular path of radius 1 m with a velocity of 1 m/s, then the its angular momentum is

    A
    `1 kg m^(2)//s`
    B
    `10^(-2)kg m^(2)//s`
    C
    `10^(-2) kg m^(2)//s`
    D
    `10^(-1)kg m^(2)//s`
    • NARAYNA-GRAVITATION-EXERCISE -I (C.W.)
    1. If 'A' is areal velocity of a planet of mass M, its angular momentum i...

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    2. A planet revolves round the sun in an elliptical orbit of semi minor a...

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    3. Let 'A' be the area swept by the line joining the earth and the sun du...

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    4. A satellite moving in a circular path of radius r around earth has a t...

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    5. The time of revolution of planet A round the sun is 8 times that of an...

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    6. The distance of Neptune and Saturn from the Sun are respectively 10^(1...

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    7. The period of moon's rotation around the earth is approx. 29 days. IF ...

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    8. If the mass of earth were 2 times the present mass, the mass of the mo...

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    9. Two sphere of masses m and M are situated in air and the gravitational...

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    10. The gravitational force between two bodies is 6.67xx10^(-7) N when the...

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    11. Two identical spheres each of radius R are placed with their centres a...

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    12. A satellite is orbiting around the earth. If both gravitational force ...

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    13. Mass M=1 unit is divided into two parts X and (1-X). For a given separ...

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    14. If g on the surface of the earth is 9.8m//s^(2), its value at a height...

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    15. If g on the surface of the earth is 9.8ms^(-2), its value of a depth o...

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    16. If mass of the planet is 10% less than that of the earth and radius of...

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    17. The angular velocity of the earth with which it has to rotate so that ...

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    18. Assume that the acceleration due to gravity on the surface of the moon...

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    19. The value of acceleration due to gravity at the surface of earth

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    20. The point at which the gravitational force acting on any mass is zero ...

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