The correct answer is (4)\({1\over\sqrt2}\) .
Answer 1:
\(v_{o}=\sqrt{\dfrac{GM}{R}}\)...........(1)
\(v_{e}=\sqrt{\dfrac{2GM}{R}}\)..........(2)
Dividing equation (1) by (2), we get,
\(\dfrac{v_{o}}{v_{e}}=\dfrac{1}{\sqrt{2}}\) |
Answer 2:
\(v_{o} <v_{e}\) as orbit radius is R.
\(\dfrac{v_o}{v_{e}} <1\)
Eliminating all other options which are \(\geq 1\),we get,
\(\dfrac{v_{o}}{v_{e}}=\dfrac{1}{\sqrt{2}}\) |