Assertion : The Earth is slowing down and as | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) The angular momentum of the Earth-Moon system is conserved because no external torque acts on the system.From the relation $	au = \frac{dL}{dt}$,

Vedclass · Accepted Answer

If both the $Assertion$ and $Reason$ are incorrect.

Vedclass · Answer

(D) The angular momentum of the Earth-Moon system is conserved because no external torque acts on the system.From the relation $	au = \frac{dL}{dt}$,if $	au = 0$,then $\frac{dL}{dt} = 0$,which implies $L$ is constant.Therefore,the $Reason$ is incorrect.Due to tidal friction,the Earth's rotation slows down,meaning its angular velocity $\omega_1$ decreases. Since the total angular momentum $L = I_1\omega_1 + I_2\omega_2$ must remain constant,the angular momentum of the Moon's orbit must increase to compensate for the decrease in the Earth's rotational angular momentum.As the Moon gains angular momentum,its orbital radius $r_2$ increases,causing the Moon to move away from the Earth. Thus,the $Assertion$ is also incorrect.

$Assertion$ : The Earth is slowing down and as a result the Moon is coming nearer to it.
$Reason$ : The angular momentum of the Earth-Moon system is not conserved.

Similar Questions

Two spherical bodies of mass $M$ and $5M$ and radii $R$ and $2R$ are released in free space with initial separation between their centres equal to $12R.$ If they attract each other due to gravitational force only,then the distance covered by the smaller body before collision is (in $R$)

Two identical particles of mass $1 \, kg$ each go round a circle of radius $R$,under the action of their mutual gravitational attraction. The angular speed of each particle is:

During the motion of a planet from perihelion to aphelion,the work done by the gravitational force of the sun on it is ...........

Four similar particles of mass $m$ are orbiting in a circle of radius $r$ in the same direction because of their mutual gravitational attractive force. The velocity of a particle is given by

Imagine a narrow tunnel between two diametrically opposite points of the Earth. $A$ particle of mass $m$ is released in this tunnel. The time period of oscillation is ..........

Vedclass Test Series

Exam Paper Generator

Online Exam Module

$Assertion$ : The Earth is slowing down and as a result the Moon is coming nearer to it.$Reason$ : The angular momentum of the Earth-Moon system is not conserved.