Recently I working on a optics Question. Then , An Confusion is created in my mind , So please Help me to get rid out from that !
Problem : If Light ray is incident at an angle on an glass slab which has variable refractive index which varies as : . where K : is constant and refractive index of outside medium is Then Find maximum Hight at which Light ray goes up ?
Solution: Using Snell's Law at intial state and Final State : .
1)- What is the critical angle in this situation ? Can we say it as 90 degree ?
2)- How can we use snell's Law at Particular an intermediate Point ? Is always i = r ?
Expln-1 ) -Because if we use Snell's Law at the interface i.e
also . because at that point hight is almost same !
So this gives .
Expln-2) - SInce at particular point refractive index of medium is same at just below and above of the interface. So By snell's Law incident angle (i) = refracted angle (r)
I know this wrong But Please Tell me Where I'am wrong ??
Thanks a lot !!