Question

Consider a diffraction grating of width 5cm with slits of width 0.0001 cm separated by distance of 0.0002cm 1:what is the corresponding grating element 2:how many orders will be observed at a wavelength of 0.000055 cm 3:calculate the dispersion in the different orders

Answer 1

Answer:

a) $d= 0.0002cm$

b) $m=3$

Explanation:

From the question we are told that:

Width of diffraction grating $W_g= 5cm$

Width of silt $w_s 0.0001 cm$

Distance $d= 0.0002cm$

a)

Generally the grafting element is the distance b/w  the silts

$d= 0.0002cm$

Therefore the grafting element is

$d= 0.0002cm$

b)

Generally the equation for diffraction state is mathematically given by

 $dsin\theta=m\lambda$

Since

 $sin\theta \leq 1$

Therefore

 $m \leq \frac{d}{\lambda}$

 $m \leq \frac{0.0002}{0.000055}$

 $m \leq 3.6$

Therefore orders observed with $\lambda$ is

 $m=3$