Use the exact values you enter to make later calculations. A ray of light strike

Question

Use the exact values you enter to make later calculations.

A ray of light strikes a flat, 2.00-cm-thick block of glass (n = 1.09) at an angle of = 36.4° with respect to the normal (see figure below).

(a) Find the angle of refraction at the top surface and the angle of incidence at the bottom surface.
__°

(b) Find the refracted angle at the bottom surface.
__°

(c) Find the lateral distance d by which the light beam is shifted.
__cm

(d) Calculate the speed of light in the glass.
__m/s

(e) Calculate the time required for the light to pass through the glass block.
__s

(f) Is the travel time through the block affected by the angle of incidence?

__Yes, a slightly larger angle will decrease the travel time.

__No

__Yes, a slightly larger angle will increase the travel time.

Explanation / Answer

given that

angle i=36.4 degree

thickness t=0.02 m

refractive index=1.09

step;2

now we find the angle of refraction at top surface and angle of incidence at bottom surface

the angle of refraction at top surface=angle of incidence at bottom surface r=90- i=90-36.4=53.6 degree

step;3

now we find the angle of refracted angle at bottom surface

the angle of refracted bottom surface =90-53.6=36.4 degree

step;4

now we find the lateral displacement

leteral displacement d=t {sin(i-r)/cosr}

=0.02*sin(36.4-53.6)/cos53.6

=0.00997 m=0.997 cm

step;5

now we find the speed of the light in glass

the speed of the light in glass v=3*10^8/1.09=2.75*10^8 m/s

step;6

now we find the time required to light passing through the glass

the time t=lateral displacement/2.75*10^8=9.97*10^-3/2.75*10^8=3.63*10^-11 sec

step;6

yes the angle of incidence is large lateral distance is also large so the time is increases

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