You shine a laser on a plastic prism made from an unknown material and measure the...

You shine a laser on a plastic prism made from an unknown material and measure the angles relative to the normal that the light takes both inside and outside the medium. You make a plot of sin ?_inside versus sin ?_outside for the plastic object and calculate the slope of best-fit line of your plot to be 0.79365 ± 0.05669. What is the index of refraction of the plastic object?

Correct Answer: 1.26 +/- 0.09

How do you get the 0.09 uncertainty?

Expert Solution

Using Snell's law,
n1 sino = n2 sini
Where n1 is the refractive index of air, n1 = 1 and n2 is the refractive index of the material
sini/sino = 1/n2 = 0.079365 0.05669
n2 = 1/(0.079365 0.05669)
= 1/[0.079365 x (1 0.714295)]
= 1.26 x (1 0.714295)^-1.
Expanding the second term in the bracket binomially,
n2 = 1.26 [1 0.714295 (0.714295)² (0.714295)³ ...]
We can neglect all the higher powers
n2 = 1.26[(1 0.714295)]
= 1.26 0.09

genius_generous answered 1 year ago

I shine a polarized laser at a piece of clear plastic. I rotate the plastic, changing...

I shine a polarized laser at a piece of clear plastic. I rotate the plastic, changing the angle that the laser strikes the plastic, until there is no light reected o of the plastic. Then I measure the angle of the light relative to the normal of the plastic and I nd it to be 61:2. What is the index of refraction of the plastic? (The laser beam is traveling in air with an index of refraction of 1 before...

When you shine a laser with unknown wavelength through a diffraction grating with 1000 slits/mm, you...

When you shine a laser with unknown wavelength through a diffraction grating with 1000 slits/mm, you observe the m = 1 bright fringe on the screen with an angle of 26 degrees away from the center of the grating. What is the wavelength of your laser? Plug in the relevant numbers to solve for your laser pointer photon wavelength in nanometers. If the new diffraction bright fringe is at a LARGER angle than the diffraction bright fringe from the first...

Suppose that you shine light from a laser through two slits that are placed one in...

Suppose that you shine light from a laser through two slits that are placed one in front of the other, separated by 0.6mm. The width of each slit is 0.12mm. The light will travel from the laser, through the slits, and onto a screen 1.5m away. a. Predict what you will observe on the screen, and compare it to what you would expect from single-slit diffraction. b. If ray (geometrical optics) accurately described this siutation, what would the pattern on...

1. A cube (length of each side: 10 cm), made from some unknown material, floats on...

1. A cube (length of each side: 10 cm), made from some unknown material, floats on the surface of the ocean. If 72% of the total volume of this cube is underwater, determine: a) the total mass of water displaced by the cube b) the buoyant force acting on the cube c) the total mass of the object d) the density of the object

What do you understand by plastic strain increment in Elastic perfectly plastic material and explain its...

What do you understand by plastic strain increment in Elastic perfectly plastic material and explain its importance?

Chow Corporation manufactures children's chairs made PVS of plastic tubing and heavy canvas material. Each chair...

Chow Corporation manufactures children's chairs made PVS of plastic tubing and heavy canvas material. Each chair requires eight feet of the PVC tubing and three yards of material. Budgeted sales are 20,000 chairs for June, 25,000 chairs for July and 30,000 chairs for August. Ending finished goods inventory is budgeted at 10% of the current month's sales. En materials inventories are budgeted at 10% of the current month's production. Prepare a production budget for each of the months of June,...

Find the heat capacity of a block of unknown material. You will immerse the block, with...

Find the heat capacity of a block of unknown material. You will immerse the block, with its temperature known, into a known quantity of water, which is at a very different temperature than the block. After they reach equilibrium, they will be at the same final temperature. From the change of temperature of both, calculate the block's heat capacity. NOTE: You can heat up or cool the block using hot water or ice water HOW WILL I DO THIS ?...

Suppose products A and B are made from plastic, steel, and glass, with the number of...

Suppose products A and B are made from plastic, steel, and glass, with the number of units of each raw material required for each product given by the table below. Plastic Steel Glass Product A 3 1 0.50 Product B 5 0.50 2 Because of transportation costs to the firm's two plants, X and Y, the unit costs for some of the raw materials are different. The table below gives the unit costs for each of the raw...

Part A) You have 67 grams of a unknown material, and you would like to find...

Part A) You have 67 grams of a unknown material, and you would like to find out its specific heat. You decide to heat it up to 100 C and put it in a 66 g aluminum cup (specific heat = 0.22 cal/(g C) that 200 grams of water (specific heat = 1 cal/(g C)). Usually this aluminum cup is in another cup so that the system is insulated. If both the cup and the aluminum cup are initially at...

When you shine a light on an object, the momentum from the photons that make up...

When you shine a light on an object, the momentum from the photons that make up that light impacts the object. For macroscopic objects, this will have no measurable effect. Describe why this is different for atomic-sized objects. Suppose you shine a very long wavelength light on one electron and a very short wavelength light on another electron. What differences will you observe? Why does shining very short wavelength photons on an electron not tell you exactly where the electron...

Question