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JEE Main 2019 (12 Jan, Shift 1) · Reflection & Mirrors

Reflection & Mirrors question from JEE Main 2019 (12 Jan, Shift 1)

Q43JEE Main 2019 · 12 JAN · SHIFT 1Difficult

Reflection & Mirrors

A point source of light, S is placed at distance L in front of the centre of plane mirror of width d which is hanging vertically on a wall. A man walks in front of the mirror along a line parallel to the mirror, at a distance 2L as shown below. The distance over which the man can see the image of the light source in the mirror is

Figure

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Answer: (c)

S'Sd3dLLL
  1. The image S′S' is a distance LL behind the mirror. Reflected rays seem to come from S′S' and pass through the mirror's edges.
  2. The man's line is L+2L=3LL + 2L = 3L from S′S', while the mirror is LL from S′S'.
  3. By similar triangles the visible stretch =d×3LL=3d= d \times \frac{3L}{L} = 3d
  4. So the answer is (c) 3d3d.
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