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In a Young's double slit experiment 15 fringes are observed on a small portion of the screen when light of wavelength 500 nm is used. Ten fringes are observed on the same section of the screen when another light source of wavelength λ is used. Then the value of λ is (in nm) ______.

Asked in JEE Main 9th Jan 2nd Shift 2020 · Fringe width and fringe position

Answer: 750

Step-by-step solution

Same length of screen: 15β₁ = 10β₂, and β ∝ λ.

λ = (15)/(10)×500 = 750 nm.

→ 750

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