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WBJEE · Physics · Ray Optics

The ratio of the diameter of the sun to the distance between the earth and the sun is approximately \(0.009 .\) The approximate diameter of the image of the sun formed by a concave spherical mirror of radius of curvature \(0.4 \mathrm{m}\) is

  1. A \(4.5 \times 10^{-6} \mathrm{m}\)
  2. B \(4.0 \times 10^{-6} \mathrm{m}\)
  3. C \(3.6 \times 10^{-3} \mathrm{m}\)
  4. D \(1.8 \times 10^{-3} \mathrm{m}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(1.8 \times 10^{-3} \mathrm{m}\)

Step-by-step Solution

Detailed explanation

The angle subtended by sun on mirror ; \[ \begin{array}{l} Q=\frac{D}{d_{S E}}=\frac{d}{f} \\ d=\frac{D}{d_{s E}} \times f \end{array} \] According to the question,…