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Question

The sun apperas slightly larger in the sky during march than during septembers from certain location on the earth.Based on this information which of the 2 months is tge earth travelling faster in its orbit

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Solution

Dear student,
The sun appears slightly larger in the sky during march , it means that during march earth is close to sun.
Now we know that angular momentum is conserved in (earth + sun ) system.
so mvr =constant (where r is the distance between the sun and earth)
since the mass of earth is constant, so we can write
vr= constant.
Now during march , r decreases. In order to keep the product "vr" to be constant "v" should increase.
Hence we can say that the earth travels faster during the month of March.
Regards







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