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. 71.3°
c. 35.7°
d. A fifth order maximum cannot beobserved.
e. 23.8° 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° 71.3° 35.7° A fifth order maximum cannot beobserved. 23.8°

Explanation / Answer

wavelength = 589 nm = 589 * 10 ^ -9 m
No.of lines N = 3500 lines/cm.                       = 350000 lines / m So, grating elemnent   d = 1 / N for fifth order   d sin = 5 from this sin = 5 / d                      = 1.030 sin doesnot greater tahn 1 So, answer is option d

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