Two plane mirrors $M_{1}$ and $M_{2}$ each have length $1 \mathrm{~m}$ are separated by $1 \mathrm{~cm}$. A ray of light is incident on one end of mirror $M_{1}$ at angle $45^{\circ} .$ How many reflections the ray will have before going at from the other end?
(a) 50
(b) 51
(c) 100
(d) 101