A stick is placed inside a hemispherical bowl as shown in Figure. The stick is horizontal and has a length of 2a. Eye of an observer is located at E such that it can just see the end A of the stick. A liquid is filled upto edge of the bowl and the end B of the stick becomes visible to the observer. Radius of the bowl is R. Find the refractive index `(mu)` of the liquid.
A. `(7)/(4)`
B. `(5)/(3)`
C. `(3)/(2)`
D. `(5)/(4)`