If the earth suddenly stops rotating about its axis the value of g at the equator will:

Options

A. remains same
B. decrease by `omega^(2)` R factor
C. Increase by `omega^(2)` R factor
D. Increase by `omega` R factor.

Answer

C

Explanation

Due to rotation `g.=g-Romega^(2) cos^(2)lambda`. If earth stops rotating then `omega=0 therefore g.=g` i.e. the value g. increases by `Romega^(2)cos^(2)lambda`. At equator `lambda=0^(@)`.
`therefore` The value of gravity increases by `Rw^(2)`.
So, the correct choice is (c ).