1. As shown in (Figure 1) , a layer of water covers a slab of material X in a be
ID: 1492626 • Letter: 1
Question
1. As shown in (Figure 1) , a layer of water covers a slab of material X in a beaker. A ray of light traveling upward follows the path indicated. Assume that 1 = 48 and 2 = 67.
A. Using the information on the figure, find the index of refraction of material X.
B. Using the information on the figure, find the angle the light makes with the normal in the air .
2.Medical x rays are taken with electromagnetic waves having a wavelength around 0.102 nm .What is the wave number of such waves? (rad/m)
3.The electric field of a sinusoidal electromagnetic wave obeys the equation E=(385V/m)sin[(5.96×1015rad/s)t+(2.04×107rad/m)x]. What is the amplitude of the magnetic field of this wave?
Explanation / Answer
apply snell's law
water refractive index = 1.34
n1 *sin ( theta1) = n2*sin( theta2)
1.33 * sin ( 48) = x* sin ( 90 - 67)
x = 1.33 * sin ( 48) / sin( 90-67)
x = 2.529 answer
part2 in water and air medium
1.33* sin( 48) = 1 *sin( theta)
theta = asin [1.33* sin( 48)/1 ]
= 81.257 degree
2)
wave number K= 2*pi / lambda = 2pi / ( 0.102*10^-9 ) = 6.1599 *10^10 m^-1
3
B 385 / ( 3*10^8) =1.28333333e-6 T
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