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JEE Main 2020 (3 Sep, Shift 2) · Reflection & Mirrors

Reflection & Mirrors question from JEE Main 2020 (3 Sep, Shift 2)

Q40JEE Main 2020 · 3 SEP · SHIFT 2Medium

Reflection & Mirrors

When an object is kept at a distance of 30 cm from a concave mirror, the image is formed at a distance of 10 cm from the mirror. If the object is moved with a speed of 9 cms–1, the speed (in cms–1) with which image moves at that instant is ____.

Numerical answer type. Work it out, then open the answer.

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Answer: 1

  1. For a mirror, image speed along the axis: vI=v2u2 vOv_I = \frac{v^2}{u^2}\, v_O (in magnitude).
  2. vI=(1030)2×9=19×9v_I = \left(\frac{10}{30}\right)^2 \times 9 = \frac{1}{9} \times 9
  3. So the image moves at 1 cm s−11\text{ cm s}^{-1}.
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