Can anybody shed some \"light\" on these? I have no idea what to do with them. A

Question

Can anybody shed some "light" on these? I have no idea what to do with them.

A mixture of Blue (450 nm) light and green (550 nm) light falls onto a grating that contains 10240 lines/cm.
Q1: For the blue light, find the angle in degrees that locates the third-order maximum.
Q2: For the green light, find the angle in degrees that locates the second-order maximum.

An electron created by radioactive decay is traveling at 1.85x10^8 m/s in diamond which has a refractive index
of 2.419
Q3: What is the velocity of light within the diamond in m/s ?
Q4: What is the angle in degrees that the electromagnetic shock wave the electron makes with respect to it's
line of travel?

Bonus: What is this type of shock wave called, and where is it most commonly found? (you may use the
internet for the bonus question)
It is called "_________ Radiation, and it is most often found in a ____________". (fill in the blanks)

Explanation / Answer

theta = arcsin(m*wavelength/d)

for blue light , theta =1.3824

for green light, theta =1.1264

velocity of light in diamond=velocity in air/ r.i.=7.65*10^7 m/s

this type of shock wave is called bow shock.

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