What should be the velocity of rotation of earth due to rotation about its own axis so that the weight of a person becomes \[\frac{2}{3}\] of the present weight at the equator? Equatorial radius of the earth is R

\[{{\left( \frac{g}{7R} \right)}^{\frac{1}{2}}}\]

\[{{\left( \frac{2g}{3R} \right)}^{\frac{1}{2}}}\]

\[{{\left( \frac{g}{3R} \right)}^{\frac{1}{2}}}\]

\[{{\left( \frac{g}{5R} \right)}^{\frac{1}{2}}}\]

What should be the velocity of rotation of earth due to rotation about

1.	What should be the velocity of rotation of earth due to rotation about its own axis so that the weight of a person becomes \[\frac{2}{3}\] of the present weight at the equator? Equatorial radius of the earth is R
A.	\[{{\left( \frac{2g}{3R} \right)}^{\frac{1}{2}}}\]
B.	\[{{\left( \frac{g}{3R} \right)}^{\frac{1}{2}}}\]
C.	\[{{\left( \frac{g}{7R} \right)}^{\frac{1}{2}}}\]
D.	\[{{\left( \frac{g}{5R} \right)}^{\frac{1}{2}}}\]
Answer» C. \[{{\left( \frac{g}{7R} \right)}^{\frac{1}{2}}}\]