1.

A diffraction grating has 7,000 lines per centimeter. When the grating is illuminated normally with a monochromatic light, the second order spectral line is found at 62◦. Findi. wavelength of the lightii. third order maximum

Answer»

\(d = \frac{10^{-2}}{7000}\)

\(\theta = 62° \)

\(n = 2\)

\(d \,sin\theta_n = n\lambda\)

\(\lambda = \frac{d\,sin\theta_n}{n}\)

\(\lambda = \frac{10^{-2}}{7000} \times \frac{sin62° }{2}\)

\(\lambda = \frac{10^{-2}\times 0.88}{7000\times 2}\)

\(\lambda = 0.06285 \times 10^{-5}\)

\(\lambda = 6285 \times 10^{-10}\)

\(\lambda = 6285 A° \)



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