Visible light of wavelength 589 nm is incident on adiffraction grating that has

Question

Visible light of wavelength 589 nm is incident on adiffraction grating that has 3500 lines/cm. At what angle withrespect to the central maximum is the fifth order maximumobserved?

a. 17.9°
b. 23.8°
c. 35.7°
d. A fifth order maximum cannot beobserved.
e. 71.3° Visible light of wavelength 589 nm is incident on adiffraction grating that has 3500 lines/cm. At what angle withrespect to the central maximum is the fifth order maximumobserved? 17.9° 23.8° 35.7° A fifth order maximum cannot beobserved. 71.3°

Explanation / Answer

Bragg's diffraction is dsin = m                                       = sin-1(m / d) Here m = 5    = 589nm = 589*10-9m                                                d = 1 /(3500lines/cm)            = (1cm) / (3500lines)            = (10-2m) / (3500)            = 2.86*10-6m Now = sin-1[(5)(0.589*10-6m) /(2.86*10-6m)]            = Afifth order maximum cannot be observed.

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