A prism of refractive index $\mathrm{\mu }$ 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 $\mathrm{\mu }$ is

• A

  ${\sin }^{-1}\left(\frac{\mathrm{\mu }}{2}\right)$

• B

  ${\sin }^{-1}\sqrt{\frac{\mathrm{\mu }-1}{2}}$

• C

  $2{\cos }^{-1}\left(\frac{\mathrm{\mu }}{2}\right)$

• D

  ${\cos }^{-1}\left(\frac{\mathrm{\mu }}{2}\right)$