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Assertion: For the plantes orbiting arou...

Assertion: For the plantes orbiting around the sun, angular speed, linear speed, K.E. changes with time, but angular momentum remains constant.
Reason: No torque is acting on the rotating planet. So its angular momentum is constant.

A

If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.

B

If both Assertion and Reason are true but Reason is not a correct explanation of the Asseration.

C

If Assertion is true but the Reason is false.

D

If both Assertion and Reason are false.

Text Solution

Verified by Experts

The correct Answer is:
A
Here both assertion and reason are true and reason is correct explanation of assertion.
In case of planet orbiting the sun, `tau = 0`
as `tau = (dvecL)/(dt), (dvecL)/(dt) = 0` or `L` is constant.
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Knowledge Check

  • Statement-1: For the planets orbiting around the sun, angular speed, linear speed, KE changes with time,but angular momentum remains constant. Statement-2: No torque is acting on the rotating planet, so its angular momentum is constant.

    A
    Statement-1 is true, statement-2 is true, Statement-2 is a correct explanation for statement-1.
    B
    Statement-1 is true, Statement-2 is true, statement-2 is Not a correct explanation for statement-1
    C
    Statement-1 is true, Statement-2 is false.
    D
    Statement-1 is false Statement-2 is True.

  • A torque of 50 Nm acts on a rotating body for 5 s. Its angular momentum is

    A
    increases by 250 kg `m^(2)//s`
    B
    increases by 10 kg `m^(2)//s`
    C
    increases by 55 kg `m^(2)//s`
    D
    decreases by 250 kg `m^(2)//s`

  • Total angular momentum of a rotating body remains constant, if the net torque acting on the body is

    A
    zero
    B
    maximum
    C
    minimum
    D
    unity

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    Assertion : Angular speed of a planet around the sun increases, when it is closer to the sun. Reason : Total angular momentum of the system remains constant.

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

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