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The width of one of the two slits in a Young’s double slit experiment is three times the other slit. If the amplitude of light coming from a slit is proportional to the slit-width, the ratio of minimum to maximum intensity in the interference pattern is x : 4 where x is_______.

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alok kumar singh | Contributor-Level 10

3 months ago

Amp. a slit with

Intensity a (Amp)² a (slit width)²

$\frac{l_{1}}{l_{2}} = {(\frac{3}{1})}^{2} = \frac{9}{1} \Rightarrow l_{1} = 9 I_{2}$

$\frac{l_{m i n}}{l_{m a x}} = \frac{{(\sqrt[]{l_{1}} - \sqrt[]{l_{2}})}^{2}}{{(\sqrt[]{l_{1}} + \sqrt[]{l_{2}})}^{2}} = \frac{{(3 - 1)}^{2}}{{(3 + 1)}^{2}}$

$\Rightarrow \frac{1}{4} = \frac{x}{4}$

x = 1.00

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The width of one of the two slits in a Young’s double slit experiment is three times the other slit. If the amplitude of light coming from a slit is proportional to the slit-width, the ratio of minimum to maximum intensity in the interference pattern is x : 4 where x is_______.

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