question_answer

The dependence of g on geographical latitude at sea level is given by \[g={{g}_{0}}(1+\beta {{\sin }^{2}}\phi )\]where \[\phi \] is the latitude angle and \[\beta \] is a dimensionless constant. If \[\Delta g\] is the error in the measurement of g then the error in measurement of latitude angle is

A)  zero                     

B)

C) \[\Delta \phi =\frac{\Delta g}{{{g}_{0}}\beta \cos (2\phi )}\]       

D) \[\Delta \phi =\frac{\Delta g}{{{g}_{0}}}\]