જ્યારે ચંદ્ર સૂર્ય ગ્રહણથી પૃથ્વી અને સૂર્ય ને જોડતી રેખામાં બીજી બાજુએ આવે ત્યારે પૃથ્વીના સૂર્ય તરફના પ્રવેગમાં કેટલો ફેરફાર થાય? (ચંદનું દળ \(= 7.36 \times 10^{22}\,kg,\) ચંદ્રની ત્રિજ્યા \(= 3 .8 \times 10^8\,m\) ).

A \(6.73\times 10^{-5}\,m/s^2\)
B \(6.73\times 10^{-3}\,m/s^2\)
C \(6.73\times 10^{-2}\,m/s^2\)
D \(6.73\times 10^{-4}\,m/s^2\)

Verified Solution

Answer & Solution

Correct Answer

(A) \(6.73\times 10^{-5}\,m/s^2\)

Step-by-step Solution

Detailed explanation

During solar eclipse, the sun and moon will be on the same side of the earth and during lunar eclipse, the moon and the sun will be exactly on the earth’s opposite sides. So the gravitational force acting on earth due to sun will add up with the gravitational force acting…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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