Question

Monochromatic light is incident on a grating that is 75 mmwide

Answer 1

Answer:

Explanation:

Given

Grating Width $w=75 mm$

no of lines $N=50,000 lines$

inclination of second order maxima $\theta =32.5^{\circ}$

Condition of maxima For Diffraction grating

$d\sin \theta =m\lambda$

where $d=Grating\ constant$

$\lambda =wavelength$

$m=order\ of\ maxima$

$d=\frac{width}{N}$

$d=\frac{75}{50,000}$

$d=0.0015\ mm$

therefore for second order maxima wavelength of light is given by

$\lambda =\frac{d\sin \theta }{m}$

$\lambda =\frac{0.0015\times \sin (32.5)}{2}$

$\lambda =403\times 10^{-6}\ m$

$\lambda =403\ nm$