Two wavelengths λ₁ and λ₂ are used in Young's double slit experiment. λ₁ = 450 nm and λ₂ = 650 nm. The minimum order of fringe produced by λ₂ which overlaps with the fringe produced by λ₁ is n. The value of n is _______. Numerical answer type. Work it out, then open the answer.

Answer: 9. Overlap of bright fringes: n₁ × 450 = n₂ × 650 ⇒ 9n₁ = 13n₂. Smallest integers: n₁ = 13, n₂ = 9. So n = 9.

Two wavelengths λ₁ and λ₂ are used in Young's double slit experiment… | JEE Main 2024 (4 Apr, Shift 1)

Q35JEE Main 2024 · 4 APR · SHIFT 1Medium

YDSE: Film, Medium & Two Wavelengths

Two wavelengths $\lambda_1$ and $\lambda_2$ are used in Young's double slit experiment. $\lambda_1 = 450\text{ nm}$ and $\lambda_2 = 650\text{ nm}$ . The minimum order of fringe produced by $\lambda_2$ which overlaps with the fringe produced by $\lambda_1$ is $n$ . The value of $n$ is _______.

Numerical answer type. Work it out, then open the answer.

Show answer and solution

Answer: 9

Overlap of bright fringes: $n_1 \times 450 = n_2 \times 650 \Rightarrow 9n_1 = 13n_2$ .
Smallest integers: $n_1 = 13,\ n_2 = 9$ .
So $n = 9$ .

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