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In an experiment with Lummer Gehrecke plate, the two coherent beams of light, caused by multiple reflections inside the transparent plate of refractive index $$\mu=1.54$$, reach the points P and Q on the screen. The net path difference between the two beams reaching either at P or Q is $$\Delta x=5000\,\text{nm}$$. Which of the wavelengths in the visible range, $$390\,\text{nm}\le\lambda\le780\,\text{nm}$$, is/are most likely to produce a constructive interference at the point P as well as at Q on the screen
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