II$.$ A diffraction grating has $500$ lines$/$mm$.$ A viewing screen is $1\mathrm{.}25$ m away.a$)$ First$-$order light from a laser is recorded at y $=35\mathrm{.}3$ cm from the central maximum. What is thewavelength of the laser? What is its color?b$)$ Where will $2$nd order light from a red HeNe laser $(2=633$ nm$)$ be found on the screen?c$)$ What is the largest order $($largest m$-$value$)$ that could be observed with the red laser of part $($b$)?$