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NEET 2013 · Reflection & Mirrors

Reflection & Mirrors question from NEET 2013

Q49NEET 2013Medium

Reflection & Mirrors

Two plane mirrors are inclined at 70°. A ray incident on one mirror at angle, θ\theta after reflection falls on second mirror and is reflected from there parallel to first mirror. The value of θ\theta is

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Answer: (d)

  1. Incidence θ\theta at the first mirror, so the reflected ray makes 90∘−θ90^\circ - \theta with that mirror.
  2. In the triangle formed by the two mirrors and the ray, the ray makes 180∘−70∘−(90∘−θ)=20∘+θ180^\circ - 70^\circ - (90^\circ - \theta) = 20^\circ + \theta with the second mirror.
  3. It leaves the second mirror at the same angle. To be parallel to the first mirror this angle must equal 70∘70^\circ.
  4. 20∘+θ=70∘⇒θ=50∘20^\circ + \theta = 70^\circ \Rightarrow \theta = 50^\circ, so the answer is (d).
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