A beam of light propagating in medium A with index of refraction n (A) passes across an interface into medium B with index of refraction n(B). The angle of incidence is greater than the angle of refraction; v(A) and v(B) denotes the speed of light in A and B. Then which of the following is true 

• A

  $\mathrm{v}\left(\mathrm{A}\right)>\mathrm{v}\left(\mathrm{B}\right)\text{ and }\mathrm{n}\left(\mathrm{A}\right)>\mathrm{n}\left(\mathrm{B}\right)$

• B

  $\mathrm{\nu }\left(\mathrm{A}\right)>\mathrm{v}\left(\mathrm{B}\right)\text{ and }\mathrm{n}\left(\mathrm{A}\right)<\mathrm{n}\left(\mathrm{B}\right)$

• C

  $\mathrm{v}\left(\mathrm{A}\right)<\mathrm{v}\left(\mathrm{B}\right)\text{ and }\mathrm{n}\left(\mathrm{A}\right)>\mathrm{n}\left(\mathrm{B}\right)$

• D

  $\mathrm{v}\left(\mathrm{A}\right)<\mathrm{v}\left(\mathrm{B}\right)\text{ and }\mathrm{n}\left(\mathrm{A}\right)<\mathrm{n}\left(\mathrm{B}\right)$