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(a) Find the angle of refraction at the topsurface. 1° (b) Find the angle of inc

ID: 1672299 • Letter: #

Question

(a) Find the angle of refraction at the topsurface.


(b) Find the angle of incidence at the bottom surface and therefracted angle.


(c) Find the lateral distance d by which the light beam isshifted.
3 cm

(d) Calculate the speed of light in the glass.
4m/s

(e) Calculate the time required for the light to pass through theglass block.
5s

(f) Is the travel time through the block affected by the angle ofincidence?
6 no yes: aslightly larger angle will decrease the traveltime     yes: aslightly larger angle will increase the travel 6 no yes: aslightly larger angle will decrease the traveltime     yes: aslightly larger angle will increase the travel 6 no yes: aslightly larger angle will decrease the traveltime     yes: aslightly larger angle will increase the travel 6

Explanation / Answer

a) we know that          n1sin1 = n2sin2 From this we have angle of refraction            2 = sin-1 ( 1.00 sin 7.1 / 1.7)                 = 4.169o b) angle of incidence at the bottom surface is 3= 2 = 4.169o     The angle of refraction is             4 = sin-1 ( 1.7 sin 4.169 / 1.00)                 = 7.1o c) The lateral distance            d = h sin               = ( L / cos2) sin ( 1 -2)                = ( 2.00 / cos4.169) * sin ( 7.1 - 4.169)                = 0.1025 cm d) v = c / n2 = 3 x 108 / 1.7 = 1.764 x108 m/s e) t = h / v = L / v cos2         = 0.02 /1.764 x 108 cos4.169     = 1.136 x 10-10 s a slightly larger anglewill increase the travel time