Question:
In the Young's double slit experiment, the interference pattern
is found to have an intensity ratio between the bright and dark
fringes as 9, This implies that
In the Young's double slit experiment, the interference pattern
is found to have an intensity ratio between the bright and dark
fringes as 9, This implies that
Updated On: Jun 14, 2022
- the intensities at the screen due to the two slits are 5 units and 4 units respectively
- the intensities at the screen due to the two slits are 4 units and 1 unit respectively
- the amplitude ratio is 3
- the amplitude ratio is 2
Show Solution
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The Correct Option is D
Solution and Explanation
$\frac{I_{max}}{I_{min}}=\frac{(\sqrt {I_1}+\sqrt {I_2})^2}{(\sqrt {I_1}-\sqrt {I_2})^2}=\bigg(\frac{\sqrt{I_1 / I_2}+1}{\sqrt{I_1 / I_2}-1}\bigg)^2=9$ (Given)
Solving this, we have $\frac{I_1}{I_2}=4 \, \, but \, \, \, I \propto A^2$
$\therefore \hspace25mm \frac{A_1}{A_2}=2$
$\therefore$ Correct options are (b) and (d).
Solving this, we have $\frac{I_1}{I_2}=4 \, \, but \, \, \, I \propto A^2$
$\therefore \hspace25mm \frac{A_1}{A_2}=2$
$\therefore$ Correct options are (b) and (d).
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Concepts Used:
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- Considering two waves interfering at point P, having different distances. Consider a monochromatic light source ‘S’ kept at a relevant distance from two slits namely S1 and S2. S is at equal distance from S1 and S2. SO, we can assume that S1 and S2 are two coherent sources derived from S.
- The light passes through these slits and falls on the screen that is kept at the distance D from both the slits S1 and S2. It is considered that d is the separation between both the slits. The S1 is opened, S2 is closed and the screen opposite to the S1 is closed, but the screen opposite to S2 is illuminating.
- Thus, an interference pattern takes place when both the slits S1 and S2 are open. When the slit separation ‘d ‘and the screen distance D are kept unchanged, to reach point P the light waves from slits S1 and S2 must travel at different distances. It implies that there is a path difference in the Young double-slit experiment between the two slits S1 and S2.
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