NEET · Physics · STD 11 - 7. gravitation
The radius of Martian orbit around the Sun is about 4 times the radius of the orbit of Mercury. The Martian year is 687 Earth days. Then which of the following is the length of 1 year on Mercury?
- A 88 earth days
- B 225 earth days
- C 172 earth days
- D 124 earth days
Answer & Solution
Correct Answer
(A) 88 earth days
Step-by-step Solution
Detailed explanation
\(\frac{ T _{\text {Mercury }}}{ T _{\text {Martian }}}=\left(\frac{ r _{\text {Mercury }}}{ r _{\text {Martian }}}\right)^{3 / 2}=\left(\frac{1}{4}\right)^{3 / 2}=\frac{1}{8} \)
\( T_{\text {Mercury }}=\frac{ T _{\text {Martian }}}{8}=\frac{687}{8}=85.875 \text { days } \approx 88 \text { days}\)
\( T_{\text {Mercury }}=\frac{ T _{\text {Martian }}}{8}=\frac{687}{8}=85.875 \text { days } \approx 88 \text { days}\)
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