Question

What is the distance in m between lines on a diffraction grating that produces a second-order maximum for 775-nm red light at an angle of 62.5°?

Answer 1

Answer:

The distance is $d = 1.747 *10^{-6} \ m$  

Explanation:

From the question we are told that  

       The order of maximum diffraction is  m =  2

         The wavelength is   $\lambda = 775 nm = 775 * 10^{-9} \ m$

         The angle is  $\theta = 62.5^o$

Generally the   condition for  constructive  interference for diffraction grating  is mathematically represented as

          $dsin \theta = m * \lambda$

where  d is  the distance between the lines on a  diffraction grating

     So  

            $d = \frac{m * \lambda }{sin (\theta )}$

substituting values  

           $d = \frac{2 * 775 *1^{-9} }{sin ( 62.5 )}$

          $d = 1.747 *10^{-6} \ m$