Question

r maximum that will appear? A diffraction grating has 300 lines per mm. If light of wavelength 630 nm is sent through this grating, what is the highest order maximum that will appear? 5 6 2 8 5.3A diffraction grating has 300 lines per mm. If light of wavelength 630 nm is sent through this grating, what is the highest order maximum that will appear? A diffraction grating has 300 lines per mm. If light of wavelength 630 nm is sent through this grating, what is the highest order maximum that will appear? 5 6 2 8 5.3

Answer 1

Answer:

The order of maximum is   $n = 5$

Explanation:

From the question we are told that

  The  diffraction grating is  k  =  300 lines per mm  =  300000 lines per m

   The wavelength is  $\lambda = 630 \ nm = 630 *10^{-9} \ m$

   Generally the condition for constructive interference is mathematically represented as

      $dsin \theta = n * \lambda$

Here n is the order maximum

d is the distance the grating which is mathematically represented as

    $d = \frac{1}{k}$

=>   $d = \frac{1}{300000}$

=>    $d = 3.3*10^{-6}\ m$

So

   $n = \frac{dsin \theta}{ \lambda}$

at maximum  $sin\theta = 1$

     $n = \frac{d}{\lambda}$

=>   $n = \frac{3.3*10^{-6}}{630 *10^{-9}}$

=>   $n = 5$