Question

In: Physics

Light is incident along the normal on face AB of a glass prismwith refractive index 1.52....

Light is incident along the normal on face AB of a glass prismwith refractive index 1.52.
A. Find the largest value the angle α can have withoutany light refracted out of the prism at face AC if the prism isimmersed in air.
B. Find the largest value the angle α can have withoutany light refracted out of the prism at face AC if the prism isimmersed in water.
air refactive index = 1.00029
water refractive index = 1.33

Solutions

Expert Solution

air refactive index n a = 1.00029
water refractive index n w = 1.33
refractive index  of a glass prism n =1.52
incident angle on AC surface i = 90 - α
for without any light refracted out of the prism at face AC ,refracted angle r = 90 o
from snell's law ( sin i / sin r ) = ( n 2 / n 1 )
here i = 90 - α
       r = 90
     n 2 = n a = 1.00029
     n 1 = n = 1.52
substitute these values in above, we get
( sin ( 90 - α ) / sin 90 ) = (1.00029 / 1.52 )
                                       = 0.658
                sin ( 90 - α )    = 0.658
                       90 - α = sin -1 ( 0.658 )
                                   = 41.15
                               α = 90 - 41.15
                                   = 48.85 o
( b ) . when prism immerssed in water
  
           
from snell's law ( sin i / sin r ) = ( n 2 / n 1 )
here i = 90 - α
       r = 90
     n 2 = n w = 1.33
     n 1 = n = 1.52
substitute these values in above, we get
( sin ( 90 - α ) / sin 90 ) = (1.33 / 1.52 )
                                       = 0.875
                sin ( 90 - α )    = 0.875
                       90 - α = sin -1 ( 0.875 )
                                   = 61
                               α = 90 - 61
                                   = 29 o

Related Solutions

A plate of glass with parallel faces having a refractive index of 1.52 is resting on...
A plate of glass with parallel faces having a refractive index of 1.52 is resting on the surface of water in a tank. A ray of light coming from above in air makes an angle of incidence 36.0 with the normal to the top surface of the glass. What angle does the ray refracted into the water make with the normal to the surface? Use 1.33 for the index of refraction of water.
A ray of light traveling in a block of glass (n=1.52) is incident on the top...
A ray of light traveling in a block of glass (n=1.52) is incident on the top surface at an angle of 57.4? with respect to the normal in the glass. If a layer of oil is placed on the top surface of the glass, the ray is totally reflected. What is the maximum possible index of refraction of the oil?
The refractive index of diamond is 2.4. For unpolarized light incident from vacuum onto a polished...
The refractive index of diamond is 2.4. For unpolarized light incident from vacuum onto a polished diamond surface, calculate the angle of refraction for which the reflected light is fully polarized. Calculate the ratio between the reflected light intensity and the incident light intensity, and specify the polarization state of the reflected light
Consider a beam of light passing from air into glass (refractive index 1.5) at an angle...
Consider a beam of light passing from air into glass (refractive index 1.5) at an angle of 30 degrees from vertical. Calculate - The angle of the reflected light - The angle of the refracted light - The intensity of the reflected light - The intensity of the refracted light
Unpolarized light is incident on a waveguide made of a dense glass (index of refraction n2...
Unpolarized light is incident on a waveguide made of a dense glass (index of refraction n2 ) that is coated with a layer of quartz (index of refraction n3). The waveguide is immersed in a medium with index of refraction n1. Assume the wavelength of of the incident light is 500 nm, n1= 1.00, n2= 1.80 and n3 = 1.45. A) The speed of light in the dense glass is most nearly ["2.25", "1.875", "2.00", "1.50", "3.00", "1.67"] x 108...
A beam of yellow light (420 nm) travels from air (refractive index n1=1.00) to glass (n2=2.50)...
A beam of yellow light (420 nm) travels from air (refractive index n1=1.00) to glass (n2=2.50) at an incident angle θ1 of 60°. Some light is reflected and some refracted. (a) What’s the reflection angle θ2 and relative intensity (as percent of the original intensity) of the reflected beam? (b) What’s the refraction angle θ2 ’? (c) What’s the speed of this light in the glass? (d) What’s the energy of one photon of this light? c = 3.00 ×...
A thin uniform film of refractive index 1.750 is placed on a sheet of glass with...
A thin uniform film of refractive index 1.750 is placed on a sheet of glass with a refractive index 1.50. At room temperature ( 24.0o C), this film is just thick enough for light with a wavelength 582.9 nm reflected off the top of the film to be canceled by light reflected from the top of the glass. After the glass is placed in an oven and slowly heated to 164o C, you find that the film cancels reflected light...
Light in a vacuum is incident on a transparent glass slab. The angle of incidence is...
Light in a vacuum is incident on a transparent glass slab. The angle of incidence is 37.0
A single glass lens has a refractive index of 1.5 and radii of curvature R1=5cm and...
A single glass lens has a refractive index of 1.5 and radii of curvature R1=5cm and R2=-5cm. Write down the analytical and numerical system matricies for the lens. Comparing these matricies, what is the focal length of the lens?
A symmetric, double-convex, thin lens made of glass with index of refraction 1.52 has a focal...
A symmetric, double-convex, thin lens made of glass with index of refraction 1.52 has a focal length in air of 40.0 cm. The lens is sealed into an opening in the left-hand end of a tank filled with water. At the right-hand end of the tank, opposite the lens, is a plane mirror 90.0 cm from the lens. The index of refraction of the water is 4/3. 1.Find the position of the image formed by the lens-water-mirror system of a...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT