First slide

Coherent sources and their importance in interference

Question

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 $n m$ )____

Easy

Solution

$\begin{array}{l} P o r t i o n o n s c r e e n = Y = \frac{n λ D}{d} \\ G i v e n : Y_{1} = Y_{2} \\ \Rightarrow n_{1} λ_{1} = n_{2} λ_{2} \\ \Rightarrow 15 \times 500 = 10 \times λ_{2} \\ \Rightarrow λ_{2} = 750 n m \end{array}$

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