Questions

In a diffraction pattern due to a single slit of width $a$ , the first minimum is observed at an angle ${30}^{0}$when light of wavelength $5000\u212b$ is incident on the slit. The first secondary maximum is observed at an angle of

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a

sin-112

b

sin-134

c

sin-114

d

sin-123

detailed solution

Correct option is B

For first minimum, the path difference between extreme waves, asinθ=λ Here θ=30°⇒sinθ=12 ∴a=2λ..........(1)For first secondary maximum, the path difference between extreme wavesasinθ'=32λ or (2λ)sinθ'=32λ [Using eqn (i)] or sinθ'=34 ∴ θ'=sin-134

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In single slit diffraction pattern under bichromatic illumination. If the first minimum with the wavelength $\mathrm{\lambda}$_{1} is found to be coincident with third maximum of $\mathrm{\lambda}$_{2}, then

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