Q187 / 200 · Manipal (MET) 2012 · Physics

A ray reflected successively from two plane mirrors inclined at a certain angle undergoes a deviation of $240^{\circ}$. Then, the number of images observable is

  • A
    3
  • Correct answer
    B
    5
  • C
    7
  • D
    9

Solution

$\begin{aligned} & D=360^{\circ}-2 \theta \Rightarrow 240^{\circ}=360^{\circ}-2 \theta \\ & 2 \theta=120^{\circ}, \quad \therefore \quad \theta=60^{\circ} \end{aligned}$ Then, number of images observable $\begin{aligned} & N=\frac{360^{\circ}}{60^{\circ}}-1 \\ & N=6-1 \\ & N=5 \end{aligned}$

Hence, the correct answer is option: 'B'.

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