A ray of light strikes a flat, 2.00-cm-thick block of glass ( n = 1.83) at an an

Question

A ray of light strikes a flat, 2.00-cm-thick block of glass (n = 1.83) at an angle of = 26.5° with respect to the normal (see figure below).

http://www.webassign.net/sercp9/22-p-018-alt.gif

(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.

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

No

Explanation / Answer

sin B = 0.816

B = 14.11 deg

angle of incident at bottom surface = 14.11 deg

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part B :

theta r2 = theta i = 26.5 deg

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part C:

distance d = t*(1- cos theta i sin theta i /sqrt(n^2 - sin^2 theta i))

d = 2*(1- cos 26.5 sin 26.5 /sqrt(1.83^2 - sin(26.5*sin 26.5)))

d = 1.55 cm

---------------------------------

part D:

as n C/V

speed v = C/n

V = 3e8/1.83

V= 3/1.8

V = 1.63 e 8 m/s

-----------------------------------------------

part E:

Time T = d/V = tn/( c cois thet r)

T = 2* 1.83/(3*10^8 * cos 14.11)

T = 12.5 ns

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part F:

from above formula

So T increases with increase in angle of incidence

Yes, slightly large angle will increase travel time

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