A prism of refractive index \[\mu \] and angle A is placed in the minimum deviation position. If the angle of minimum deviation is A, then the value of A in terms of\[\mu \] is

• A. \[{{\sin }^{-1}}\left( \frac{\mu }{2} \right)\]       
• B. \[{{\sin }^{-1}}\sqrt{\frac{\mu -1}{2}}\]
• C. \[2{{\cos }^{-1}}\left( \frac{\mu }{2} \right)\]     
• D. \[{{\cos }^{-1}}\left( \frac{\mu }{2} \right)\]