What is the angular separation of the two second-order spectral lines having wavelengths 417 nm and 388 nm using a diffraction grating having 456 lines/mm

The value is

Explanation:

From the question we are told that

   The wavelength of the first spectral line is

    The wavelength of the second spectral line is

    The diffraction grating is  

Generally the condition for constructive interference is  

Here n is the order of maxima which is  n  =  2  given that order of the spectral lines is second order

   d is this the distance of slit separation which is evaluated as

=>    

=>    

Considering the first spectral lines with

=>  

Considering the first spectral lines with

=>  

Generally the angular separation is  

=>

=>

found in the nucleus

has mass of one amu

1 the 4 is sig