The reading of a spring balance corresponds to 100 N while situated at the North pole and a body is kept on it. The weight recorded on the same scale if it is shifted to the equator (take, `g=10m//s^(2)` and radius of the Earth `R=6.4xx10^(6)m`) is:

Options

A. 99.66 N
B. 110 N
C. 97.66 N
D. 106 N

Answer

A

Explanation

`g_(p)-g_(e)=Romega^(2)=3.37xx10^(-2)ms^(-2)`
`g_(e)=g_(p)-3.37xx10^(-2)ms^(-2)`
`=(10-0.0337)ms^(-2)`
`=9.9663ms^(-2)`
`W_(e)=mg_(e)=(100)/(10)xx9.9663N`
`=99.663N`