A diffraction grating with 68 slits per cm is used to measure the wavelengths emitted by hydrogen gas. A. At what angles in the fourth-order spectrum would you expect to find the two violet lines of wavelength 434 nm and of wavelength 410 nm?
B. What are the angles if the grating has 12,800 slits per cm?

a

b

 Generally given that the domain arcsine function is  between -1 and 1 then the arcsine of 2.22 will not be valid

Generally given that the domain arcsine function is  between -1 and 1 then the arcsine of 2.1 will not be valid

Explanation:

From the question we are told that

     The slit grating is  

      The order of spectrum is

Generally the width of the slit is mathematically represented as  

=>              

Generally the condition for constructive interference is

Now for the first wavelength the angle is evaluated as

    =>    

    =>    

Now for the second wavelength the angle is evaluated as

    =>    

    =>    

Gnerally if grating is  

Generally the width of the slit is mathematically represented as  

=>              

Generally the condition for constructive interference is

Now for the first wavelength the angle is evaluated as

    =>    

Generally given that the domain arcsine function is  between -1 and 1 then the arcsine of 2.22 will not be valid

    =>    

Now for the second wavelength the angle is evaluated as

    =>    

     =>  

Generally given that the domain arcsine function is  between -1 and 1 then the arcsine of 2.22 will not be valid

not too sure thinking all accelerations are pointed down