Huygens Principle MCQ Quiz - Objective Question with Answer for Huygens Principle - Download Free PDF

Last updated on Apr 10, 2025

Latest Huygens Principle MCQ Objective Questions

Huygens Principle Question 1:

A circular disc is placed in front of a narrow source. When the point of observation is \(2\ m\) from the disc, then it covers first HPZ. The intensity at this point is \(I\). When the point of observation is \(25\ cm\) from the disc then intensity will be

  1. \(\left(\dfrac{R_{6}}{R_{2}}\right)^{2}I\)
  2. \(\left(\dfrac{R_{7}}{R_{2}}\right)^{2}I\)
  3. \(\left(\dfrac{R_{8}}{R_{2}}\right)^{2}I\)
  4. \(\left(\dfrac{R_{9}}{R_{2}}\right)^{2}I\)

Answer (Detailed Solution Below)

Option 4 : \(\left(\dfrac{R_{9}}{R_{2}}\right)^{2}I\)

Huygens Principle Question 1 Detailed Solution

\(I = R_2^2\)

Given \(n_1 b_1 = n_2 b_2 \Rightarrow 1 \times 200 = n_2 \times 25\)

Therefore, \(n_2 = 8\) HPZ

Therefore, \(I = \left(\dfrac{R_9}{R_2}\right)^2\)

=\(\left(\dfrac{R_9}{R_8} \times \dfrac{R_8}{R_7} \times \dfrac{R_7}{R_6} \times \dfrac{R_6}{R_5} \times \dfrac{R_5}{R_4} \times \dfrac{R_4}{R_3} \times \dfrac{R_3}{R_2} \times \dfrac{R_2}{R_2}\right)^2\)

=\(\left(\dfrac{R_9}{R_2}\right)^2 I\)

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Huygens Principle Question 2:

A circular disc is placed in front of a narrow source. When the point of observation is \(2\ m\) from the disc, then it covers first HPZ. The intensity at this point is \(I\). When the point of observation is \(25\ cm\) from the disc then intensity will be

  1. \(\left(\dfrac{R_{6}}{R_{2}}\right)^{2}I\)
  2. \(\left(\dfrac{R_{7}}{R_{2}}\right)^{2}I\)
  3. \(\left(\dfrac{R_{8}}{R_{2}}\right)^{2}I\)
  4. \(\left(\dfrac{R_{9}}{R_{2}}\right)^{2}I\)

Answer (Detailed Solution Below)

Option 4 : \(\left(\dfrac{R_{9}}{R_{2}}\right)^{2}I\)

Huygens Principle Question 2 Detailed Solution

\(I = R_2^2\)

Given \(n_1 b_1 = n_2 b_2 \Rightarrow 1 \times 200 = n_2 \times 25\)

Therefore, \(n_2 = 8\) HPZ

Therefore, \(I = \left(\dfrac{R_9}{R_2}\right)^2\)

=\(\left(\dfrac{R_9}{R_8} \times \dfrac{R_8}{R_7} \times \dfrac{R_7}{R_6} \times \dfrac{R_6}{R_5} \times \dfrac{R_5}{R_4} \times \dfrac{R_4}{R_3} \times \dfrac{R_3}{R_2} \times \dfrac{R_2}{R_2}\right)^2\)

=\(\left(\dfrac{R_9}{R_2}\right)^2 I\)

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