Calculate the wavelength of light that has its second-order maximum at 45.0º when falling on a diffraction grating that has 5000 lines per centimeter. note: if there are 5,000 lines per cm, then the distance between lines (our value for d) is cm/5,000.

Here, the wavelength of the light λ, that has a its 2nd order maximum m=2, at θ = 45.0º, when falling on a grating with 5000 lines per centimeter, can be calculated using the principle of diffraction grating which states that:

(See the attached illustration picture)

Explanation:

Where;

d=distance between lines =  (Given in the question)

m = order of the maximum = 2

θ=angle of diffraction of the light = 45.0º

and

λ = wavelength of the light = Unknown?

Now, we can do the calculation as follows,

Hence, the wavelength of light that has its second-order maximum at 45.0º when falling on a diffraction grating that has 5000 lines per centimeter is 0.0000707cm

here we know that ball will drop down by total distance 3.2 m

so here we know that

now using kinematics

now in the same time it will cover horizontal distance of 0.75 m

so speed of the ball will be