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The earth can take \[24{\text{ }}hours\] to rotate once about its axis. How much time does the sun take to shift by \[1\] when viewed from the earth?

Answer
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Hint: The Earth takes one day to make a full spin because ‘one day is defined as the time required to complete a full spin.
The spin is directly inherited from the speed and direction that the original dust cloud had when it was swirling around the center of gravity of our Solar System.
it takes nearly \[365\] days or \[365.2564\] solar days for the Earth to orbit the Sun one time.

Complete step-by-step solution:
The Earth’s orbit is circular around the Sun. The radius is \[150\] million km which is, the distance to the Sun. and it takes a year (\[365\dfrac{1}{4}\] days), for the Earth to complete one orbit, to fit this into the calendar we have \[365\] days for three years and one leap year it has \[366\] days The Earth rotates rapidly about its axis; each rotation refers one day.
Hence the total number of hours to rotate is \[24{\text{ }}hours\]
Let us find the time taken for \[1^\circ \]
Time taken to complete \[360^\circ \]is \[24{\text{ }}hours\]
Here,
\[24 \times 60{\text{ }}min.\]
Hence the time is taken to complete the \[1^\circ \]is,
\[24 \times 60/360\]
after solving it becomes,
\[4{\text{ }}min.\]
Now time taken to complete\[1^\circ \] is \[4{\text{ }}min.\]

Note:
> The Earth’s orbit is not a perfect circle. The earth moves faster in its orbit at some times than at others
> The Earth keeps on spinning because no forces are acting to stop it.
> Earth's rotation is slowing slightly with time; thus, a day was shorter in the past.