COMEDK · Physics · 9. Gravitation
If the distance between the Sun and Earth is doubled ,then the duration of the year on earth will be:
[Given actual duration of the year \(=\mathrm{T}\) ]
- A \(2 \sqrt{2} T\)
- B \(\sqrt{2} T\)
- C \(\dfrac{T}{\sqrt{2}}\)
- D \(\dfrac{T}{2}\)
Answer & Solution
Correct Answer
(A) \(2 \sqrt{2} T\)
Step-by-step Solution
Detailed explanation
According to Kepler's third law of planetary motion, the square of the time period \(T\) of a planet is directly proportional to the cube of the semi-major axis \(r\) of its orbit, which is given by \(T^2 \propto r^3\). Let the initial distance be \(r_1 = r\) and the initial…
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