Teaching NVS PGT 2024 Test Series Physics Gravitation Acceleration due to gravity below and above the surface of earth
Earth rotates about its axis with angular velocity ω. An object weighed by a spring balance gives the same reading at the equator and at a height h above the poles (h << R) By assuming the acceleration due to gravity to be same at the equator and at poles without rotating earth, then the value of h is
1
\(\frac{{{\omega ^2}{R^2}}}{g}\)
2
\(\frac{{{\omega ^2}{R^2}}}{{2g}}\)
3
\(\frac{{2{\omega ^2}{R^2}}}{g}\)
4
\(\frac{{\sqrt {Rg} }}{\omega }\)