Dispersion Lab (1)

Q.2 Light passes through a transparent substance at a speed of 2 ×108 m/s. What is the index of refraction of the substance? Q.3 The wavelength of a monochromatic light source is measured to be 5.5 × 10-8 m in a diffraction experiment. (a) What is the frequency? (b) What is the energy of a photon of this light?

Do a) and b).

A light wave has a wavelength of 4.25x10-7m. a) What is its frequency? b) How much energy is carried by one photon?

Problem 9:  Consider light passing from air into water.  What is the ratio of its wavelength in water, λw, to its wavelength in air, λa?

A laser beam with a total power of 22 watts is incident at a normal angle of incidence on a Lambertian surface. How much power reaches a detector with an area of 0.1 cm2 at an angle of 25 degrees located at a distance of 40 cm from where the beam strikes the surface? Please check closest answer.   0.525 mW   0.397 mW   0.247 mW   0.421 mW

Q blem 9: Two mirrors are held at an angle of y-130 degrees with respect to one another. A ray of light is incident of the first mirror at an angle of 8. When it reflects off of the mirror next to it makes an angle of o-13.5 degrees. Randomized Variables i -130 t(a) Write an expression for the angle of incidence 8. a V d i m Submit B 0 8 P Part (b) Numerically what is this angle? Hent 9 a h k t ( INH + NO 4 7 89 BO 4 5 6 1 2 3 0 A END CLEAR ACKUACE I give up!

Q-1 A student wants to compare the luminous flux of a lightbulb with that of a 2 =1750 (lm) lamp. The lightbulb and the lamp illuminate (E) a sheet of paper equally(E₁ = E₂). The 1750 (lm) lamp is d₂ =1.25 m away from the sheet of paper, the lightbulb is d₁ =1.08 m away from paper. What is the lightbulb's luminous flux(₁)? lighbulb Lamp Source .di. Source dz

In the figure, light from ray A refracts from material 1 (n₁ = 1.73) into a thin layer of material 2 (n2 = 1.80), crosses that layer, and is then incident at the critical angle on the interface between materials 2 and 3 (n3 = 1.40). (a) What is the value of incident angle BA? (b) If 8A is decreased, does part of the light refract into material 3? Light from ray B refracts from material 1 into the thin layer, crosses that layer, and is then incident at the critical angle on the interface between materials 2 and 3. (c) What is the value of incident angle Og? (d) If Og is decreased, does part of the light refract into material 3? OB I ng no 121

Help me solve the following table. Angle of incidence (?i) is 65, angle uncertainty (??) is 1. I tried (1*2.4919*pi)/180 * ((1/tan65)+(1/tan22)) = ?n, but it said the answer was wrong, and i don't know how to continue from there. So, the answer cannot be 4.8838.

Plot a graph of sin(θi) versus sin(θr) in an application such as Excel.  Execute a linear regression fit and display the fit equation as well as the correlation coefficient.

If the index of refraction of glass for red light is 1.45, what is the speed of a light, the speed of a photon, in the glass?     The same as the speed it would have in a vacuum, that is the same as "c"     Faster than the speed it would have in a vacuum by the factor 1.45     Dependent on the energy or power in the light     Slower than the speed in vacuum by the factor 1/1.45

Photons with a wavelength of 559 nm in air enter a plate of crown glass with index of refraction n = 1.52. Find the speed, wavelength, and energy of a photon in the glass. HINT (a) speed (in m/s) m/s (b) wavelength (in m) m (c) energy (in J) J

1

A light ray in glass (refractive index 1.57) arrives at the glass-water interface at an angle of 0 = 48° with the normal. The index of refraction of water is 1.33. What is the angle of refraction @ that a refracted ray makes with the normal ? water glass O 42° O 56° O 61° O 20°

Please refer again to Figure 2. This time, the incident ray is coming in from water (n=1.33) rather than air. And this time, theta = 20.5 degrees, y = 53.2 cm and h = 1.55 cm. What is x now?     20.4 cm     10.2 cm     28.6 cm     14.3 cm

A light ray is incident from air into glass (ng = 1.52) then onto water (ny = 1.33). The wavelength of light in air (na = 1) is hair = 500 nm and it travels at a speed c = 3 x 10% m/s. The wavelength of light, 2, and its frequency, f, in water, are, respectively: 376 nm,8x10*11 Hz 500 nm,6x10*14 Hz 376 nm,6x10*14 Hz 500 nm,8x10*11 Hz

The mass of an electron is 9.10938356×10-31 kg. The determination of the structure of molecules is often performed using a technique called X-ray diffraction. This technique relies on the wavelength of X-rays being very similar to the distance between atoms in molecules (these vary from 1 to 3 Å; Å = 10-10 m). Therefore crystals act as diffraction gratings for X-rays. Electron diffraction can also be used for determining the structure of matter. Why is this true since electrons are particles? (Hint: Use the de Broglie Eqn.)

Please refer again to Figure 2. This time, the incident ray is coming in from water (n=1.33) rather than air. And this time, theta = 42.5 degrees, y = 28.6 cm and h = 1.07 cm. What is x now?

Which of the following statements are (or could be) true? Choose all that apply. A rock at a temperature of 49 K will not emit EM waves. The index of refraction of a newly discovered transparent material is -1.1. In a vacuum, x-rays move slower than UV rays. Total internal reflection will not occur if the critical angle is greater than the incident angle. A light ray was reflected. The incident angle was 65° and the reflected angle was 65º. If do, then d₁ = 0.

Two light sources of identical strength are placed 10m apart. An object is to be placed at a point P on a line l, parallel to the line joining the light sources and at a distance d meters from it (see the figure). We want to locate P on, so that the intensity of illumination is minimized. We need to use the fact that the intensity of illumination for a single source is directly proportional to the strength of the source and inversely proportional to the square of the distance from the source. a) Find an expression for the intensity l(x) at the point P. b) If d = 5m, use graphs of l(x) and l'(x) to show that the intensity is minimized when x = 5m, that is, when P is at the midpoint of l. c) If d = 10m, show that the intensity (perhaps surprisingly) is not minimized at the midpoint. d) Somewhere between d = 5m and d = 10m there is a transitional value of d at which the point of minimal illumination abruptly changes. Estimate this value of d by graphical methods. Then find the exact value…

What is the peak wavelength of a blackbody with a temperature of 9000 K?   The index of refraction of bone is n = 1.55. What is the speed of light in bone?