Optics Answers

A beam of light traveling through a liquid (of index of refraction n1 = 1.49) is incident on a surface at an angle of θ1 = 54° with respect to the normal to the surface. It passes into the second medium and refracts at an angle of θ2 = 65° with respect to the normal.

Randomized Variables
n1 = 1.49
θ1 = 54°
θ2 = 65°

(a) Write an equation for the index of refraction of the second material.
(b) What is the index of refraction of the second material?
(c) Numerically, what is the light's velocity in medium 1, in meters per second?
(d) Numerically, what is the light's velocity in medium 2, in meters per second?

(Even if you can't access the image, you may still be able to solve) Suppose a man stands in front of a mirror as shown in the figure. His eyes are 1.85 m above the floor, and the top of his head is 0.15 m higher. https://usu34ny.theexpertta.com/images/bbpxdisb.ihe.png

(a) Find the height above the floor of the bottom of the smallest mirror in which he can see both the top of his head and his feet.
(b) Find the height above the floor of the top of the smallest mirror in which he can see both the top of his head and his feet.

An adjustable monochromatic laser beam is directed at two slits spaced 0.400 mm apart. A screen 3 m away displays the interference pattern due to the diffraction of the beam by the two slits. If the laser wavelength is changed uniformly from 500 nm to 630 nm over 5 s, what is the speed of the first maximum intensity line from the center? Is it moving toward the center or away from the center?

A monochromatic light beam of wavelength λ = 550 nm is directed at a film of water at 23° from the vertical as shown. What is the minimum thickness of the film such that I see the brightest reflection?

Place rectangular glass block and trace,draw normal between side A and B,place pins at P and Q,trace the path of fire rays through glass block for angles =60°,50°,40°,30°,20°.for each ray measure and record the angle of incidence and the corresponding lateral displacement.

an object is 6cm from the wall using a concave mirror to project an image of that object. the image is 3times the size of the object. how far should the mirror be from the wall? what should its radius of curvature be?

A tank containing a slab of glass 10cm thick of n=1.6 above this is a depth of 5cm of liquid of n=1.5 and upon this floats 5cm of water of n=4÷3. To an observer looking down form above what is the apparent position of the object at the bottom of the tank

. Skew rays are accepted into a large core diameter compared to the wavelength of thetransmitted light) step index fiber in air at a maximum axial angle of 450. Within the fiberthey change direction by 900at each reflection. Determine the acceptance angle formeridional rays or the fiber in air

A laser beam is incident on the end face of a cylindrical rod at an angle of 51° to the normal. The refractive index of the rod is 1.49 and its diameter is 30cm. If the length of the rod is 50cm, how many internal reflections does the laser beam experience before it exists the rod?

An ideal gas at temperature 300 K is contained under the weightless piston in a vertical cylinder. The piston area is 200 cm^2 and the atmospheric pressure is 10^5 Pa. The gas in the cylinder is heated and the piston is loaded with a weight of mass 10 kg. Find the change in gas temperature if the piston position has not changed. The answer should be expressed in kelvin [K]. Let the free fall acceleration be 10 m/s^2.