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Q.

The fraunhofer diffraction pattern of a single slit is formed in the focal plane of a lens of focallength 1m. The width of the slit is 0.3 mm. If the third minimum is formed at a distance of 5 mm from the central maximum then the wavelength of light will be ----

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a

$5000 A^{0}$

b

$8500 A^{0}$

c

$7500 A^{0}$

d

$2500 A^{0}$

answer is A.

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Detailed Solution

$y_{\min} = \frac{n λ D}{a}$
$5 \times 10^{- 3} = \frac{3 (λ) (1)}{3 \times 10^{- 4}}$
$5 \times 10^{- 7} m = λ$
$5000 A = λ$

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The fraunhofer diffraction pattern of a single slit is formed in the focal plane of a lens of focallength 1m. The width of the slit is 0.3 mm. If the third minimum is formed at a distance of 5 mm from the central maximum then the wavelength of light will be ----