In a double-slit experiment, light from two monochromatic light sources passes t

Question

In a double-slit experiment, light from two monochromatic light sources passes through the same double slit. The light from the first light source has a wavelength of 584 nm. Two different interference patterns are observed. If the 10th order bright fringe from the first light source coincides with the 13th order bright fringe from the second light source, what is the wavelength of the light coming from the second monochromatic light source? (in nm) TOA: 337.8 OB: 449.20C: 597.5 TOD: 794.6OE: 56.9 OF: 1405.6 1869. 50H: 2486.4 Submit Answer Tries 0/20

Explanation / Answer

Given that,

lambda-1 = 584 nm ; lambda-2 = to be calculated.

We know that, d sin(theta) = m lambda

As per the condition given in question:

10 lambda-1 = 13 lambda-2   

lambda-2 = 10 x lambda1 / 13 = 10 x 584 / 13 = 449.2 nm

Hence, lambda-2 = 449.2 nm.

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