Question

Six stars of equal mass are moving about the centre of mass of the system such that they are always on the vertices of a regular hexagon of side length $a$. Their common time period will be

• A. $4 \pi \sqrt{\frac{a^3}{ G m}}$
• B. $2 \pi \sqrt{\frac{4 \sqrt{3} a^3}{ Gm (5 \sqrt{3}+4)}}$
• C. $4 \pi \sqrt{\frac{3 a^3}{ G m}}$
• D. None of these

Answer 1

Answer: (B)

Correct answer is (b) $2 \pi \sqrt{\frac{4 \sqrt{3} a^3}{ Gm (5 \sqrt{3}+4)}}$