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If we assume the two clocks start synchronized , then the sidereal and solar clocks differ after one day , (a) about 4 minute .

What is Solar Day ?

The rotation period of the Earth with respect to the Sun, is called the solar day .

What is Sidereal Day ?

The sidereal day can be defined in terms of the rotation period of the Earth with respect to stars.

To complete a solar day, the Earth needs to rotate an additional amount, that is equal to 1/365 of a full turn.

So , the time required for this extra rotation will be 1/365 of a day, or about 4 minutes.

Hence , the solar day is about 4 minutes longer than the sidereal day.

Therefore , the correct option is (a) about 4 minutes .

Learn more about Sidereal Day here

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