2874

Physics Ray Optics Level: High School

Young’s double slit experiment

Young’s double slit apparatus has the still separation of .12mm and the distance between the slits and the viewing screen is 55 cm . If monochromatic light of wavelength = 550*10-9E passes through the slits , Imagine in prob 4 that you are using Xrays of wavelength = 1*10-9Em, instead of visible light . What would the slit separation need to be in order to have the distance between the first two fringes be 1 cm ?



2873

Physics Ray Optics Level: High School

Spherical Mirror

A tarantula of height 2 cm is in front of a spherical mirror whose final length has the absolute value (f) = 40 cm . The tarantula sees an image of itself that has a height of .40 cm and appears upright .

a) Is the image real or virtual and is it on the same side of the mirror as the tarantula or the other side ?

b) Is the mirror concave or convex and what is the its focal length , including the correct sign .




2872

Physics Ray Optics Level: High School

Polarization

Light strikes a glass plate at an angle of incidence of 60 degrees . A measurement shows that the angle between the reflected and refracted beams is 90 degrees with each other . What is the index of refraction of the glass ?



2871

Physics Ray Optics Level: High School

Thin Films

A camera manufacturer wishes to deposit a non-reflective coating onto a glass lens for a wavelength of 550 nm . The index of refraction of the coating material is 1.38 and that of the glass is 1.53. Find the smallest three possible thicknesses for the coating .



2870

Physics Ray Optics Level: High School

Diffraction

Suppose a single slit like the one in the figure at “click here” is 6.00 cm wide and in front of a microwave source operating at 7.5 GHz .

a) Calculate the angle subtended by the first minimum in the diffraction pattern .

b) What is the relative I/Imax at theta = 15 degree ?




2869

Physics Ray Optics Level: High School

Telescope

The diagram at “click here” illustrates Galileo’s original telescope . He used a convex objective-lens with a focal length of 1.7m and a concave eyepiece as illustrated above . When this telescope is focused on an indefinitely distant object , its angular magnification is +3 .

a) What is the focal length of the eyepiece ?

b) What is the distance d between the two lenses ?




2868

Physics Ray Optics Level: High School

Thin Films

In the illustration at “click here” , two glass plates have a slight angle between them because a speck of dust props up one edge of the top plate . When illuminated from above with light of wavelength 546 nm, eleven interference fringes are observed (counting from zero at the left edge) .

a) Find the height of the dust speck .

b) Find the angle (in degrees) between the plates if their diameters are 2.00 cm .




2867

Physics Ray Optics Level: High School

Refraction

In the diagram which is shown at “click here” , a ray from a spotlight strikes the surface of a swimming pool at an angle of 70 degree to the normal at a distance 4.00 m from the pool edge . The index of refraction for water is 1.33.

a) Find the distance below the surface “Y” that the ray strikes the vertical wall .

b) Find the time between when the ray strikes the water and when it strikes the vertical wall .




2776

Physics Ray Optics Level: High School

Doppler Effect

When a visible object is receding , its color will ?

a) Not change in the slightest

b) Shift toward the blue end of the spectrum

c) Shift toward the red end of the spectrum




2717

Physics Ray Optics Level: High School

Convex Lens

An object of 4 cm is placed 15 cm from a converging lens of focal length 10 cm as shown in Figure 3 at “click here” .Determine the image properties (where it is formed , height , real/virtual , magnified/diminished inverted/erect) using a ray diagram , as well as the lens formula .

A second converging lens of focal length 15 cm is placed 36 cm behind the first lens as shown in figure 4 at “click here” . Describe the image formed in by this compound lens system . Again use a ray diagram as well as the lens formula .




2716

Physics Ray Optics Level: High School

Canchy’s Formula

White light is incident at an angle of 30 degree on a triangular prism with apex angle 55 degree . For red light (lamda = 680 nm) the refractive index is 1.526 and for green light (lamda = 533 cm) the refractive index is 1.533 . What is the angle that the visible spectrum (red to violet) is spread over as it emerges from the prism ? (Hint : use Cauchy’s equation to determine the refractive index for violet light , lamda = 410 nm)



2715

Physics Ray Optics Level: High School

Total Internal Reflection in a Prism

A periscope is made using the prism shown at “click here” to reflect the light rays through at 90 degree angle .

What is the minimum possible refractive index the prism material must have in order for it to function as shown ? (Assume that the prism is in the air )

Discuss what will happen to the light ray if the refractive index of the prism is less than this value , and also what happens when the refractive index is increased ?



2714

Physics Ray Optics Level: High School

Refraction

A beam of light with wavelength of 470 nm in vacuum is incident on a liquid of refractive index 1.37 at a glancing angle of 32 degree (see figure at “click here”)

(i) What is the angle of refraction of the light ?

(ii) What is the wavelength of the light in the liquid ? (Hint : the frequency of light does not change in different media , however the velocity of the wave does , and for a wave the velocity and frequency are related as f lamda = v)




2710

Physics Ray Optics Level: High School

Young’s Double Slit Experiment

Katrinal is using Young’s two-slit experiment to determine the separation and width of two slits . The wavelength of the light that is passed through the two slits is 590 nm . On the screen the separation of the bright fringes is 2.82 mm on a screen that is 2.20 m away . Katrina then blocks one of the slits and measures the distance from the central bright fringe to the first minima as 6.5 cm . What is the slit separation and the width of the slits ? (Hint : for small angles , sin theta = tan theta)



2476

Physics Ray Optics Level: High School

Refraction

A 5 cm green arrow (light source ) that points due north is placed directly in front of a vertical north/south convex lens at do = (0.8 x focal length), a smaller distance than f , the resulting image points : then explain.

a) north

b) south

c) east

d) west

e) up

f) down

g) no image formed


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