The acceleration due to gravity on the earth's surface at the poles is $g$ and angular velocity of the earth about the axis passing through the pole is $\omega .$ An object is weighed at the equator and at a height $h$ above the poles by using a spring balance. If the weights are found to be same, then $h$ is $:( h << R ,$ where $R$ is the radius of the earth)
The acceleration due to gravity on the earth's surface at the poles is $g$ and angular velocity of the earth about the axis passing through the pole is $\omega .$ An object is weighed at the equator and at a height $h$ above the poles by using a spring balance. If the weights are found to be same, then $h$ is $:( h << R ,$ where $R$ is the radius of the earth)
- [JEE MAIN 2020]
- A
$\frac{ R ^{2} \omega^{2}}{8 g }$
- B
$\frac{ R ^{2} \omega^{2}}{4 g }$
- C
$\frac{ R ^{2} \omega^{2}}{ g }$
- D
$\frac{ R ^{2} \omega^{2}}{2 g }$
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- [JEE MAIN 2022]