Question

If the earth suddenly contracted to half of its radius without any change in its mass and its shape duration of the day instead of 24 hours will be....

Answer 1

$t = \frac{2\pi \: r}{t}$

$t {}^{0} = 2t {}^{0}$

hence the time period is doubled. the new time period is 48 hr.

mark as brilliant, !!!!!!!!!!!

Answer 2

The duration will be 6 hours

Correct answer:- Option C ( 6 Hours )

Explanation:-

In this, The angular momentum of the earth will be stable/constant. And, In this I will be proportional to the Radius of the earth.

I = Inertia

According to the question, radius of the earth is reduced to half of its original size. It means that, Earth radius is reduced in its 4 parts.

Therefore, The time taken for the earth will be 1/4th of the Earth's 24 hours.

Duration of earth = 24/4

= 6 Hours

Therefore, The duration of the day will be 6 hours.

Additional information:-

The radius of the earth is reduced by 4 times. So, the inertia (I) will be decreased to (R2) 2.

Which is = R × 2 × 2

Radius = 4 times reduced

So, 24/4 = 6 Hours