Assertion : The Earth is slowing down and as | vedclass

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(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}$,

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

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(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.

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$Assertion$ : 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.