A) 1
B) 8.5
C) 17
D) 34
Correct Answer: C
Solution :
Earth rotates about its own axis in 24 h. So, \[T=24\times 60\times 60\,s\] So, angular speed of earth about its own axis \[\omega =\frac{2\pi }{T}=\frac{2\pi }{24\times 60\times 60}\,\,\text{rad/s}\] At equator, \[g=g-{{R}_{e}}\omega {{}^{2}}\] or \[0=g-{{R}_{e}}\omega {{}^{2}}\] or \[\omega =\sqrt{\frac{g}{{{R}_{e}}}}=\frac{2\pi }{84.6\times 60}\] \[\therefore \] \[\frac{\omega }{\omega }=\frac{24\times 60\times 60}{84.6\times 60}\approx 17\] \[\Rightarrow \] \[\omega =17\omega \] So, value of \[x\] is 17.
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