VG MVG++Level+Test+V1+FyANVC08+Ch+14&23+Heat&Geometric+Optics

8/3/2019 VG MVG++Level+Test+V1+FyANVC08+Ch+14&23+Heat&Geometric+Optics

http://slidepdf.com/reader/full/vg-mvgleveltestv1fyanvc08ch1423heatgeometricoptics 1/6

VG_MVG-level Test V1 Ch23/14 FyANVC08 Heat, Geometric Optics NV-College

FyANVCO08 VG/MVG-level testHeat Ch 14

Geometrical Optics Ch 23

Test time 11: 12:25 December 17, 2009

Resources Calculators, and “Formulas for the National Test in Mathematics Courses A & B”,and the formula sheet for Physics A, FYANV-College. You may also use yourpersonalized “blue-booklet. The booklet must have your name and no calculations

or solution to any problem are supposed to be on it .

The test: The test is a VG/MVG-level test and consists of a total of 4 problems on“Geometric Optics”, and 4 problems on “Heat and Thermodynamics”. Note that

problem number 2 and 4 on optics and problem number 4 of heat are heavily

graded. You may solve these problems first.

For the problems short answers are not enough. They require:• that you write down what you do, that you explain your train of thought,

• that you, when necessary, draw figures.

• When you solve problems graphically/numerically please indicate how youhave used your resources.

Score The maximum score in optics is 16¤¤¤ (or 17), and in optics is 15¤ (or 17)depending on your choice of the problems to solve.

Mark levels The maximum number of points you can receive for each solution is indicated aftereach problem. If a problem can give 2 “Pass”-points and 1 “Pass with distinction”-

point this is written (2/1). Some problems are marked with ¤

, which means that theymore than other problems offer opportunities to show knowledge that can be relatedto the criteria for Pass with Special Distinction in Assessment Criteria 2000.G: 6 points (or having G in G-part)VG: 12 points and G+ in G-partMVG: 12 points and G+ in G-part MVG-quality works ¤¤ The case of those who performed well here but have G-/G in the G-part will beevaluated individually, and case by case (subject related.) Enjoy it! Behzad

Problem 1 2a 2b 2c 3a 3b 3c 4 Sum Grade:_Optics

VG 3 2 3 4 2 2 1 4 16¤¤¤/17

¤ ¤ ¤ ¤ ¤¤¤ VG¤

problem 1a 1b 1c 2a 2b 3 4a 4b Sum16/14

Grade:_Heat

G 1 1 0 1 0 0 0 0 3

VG 3 0 1 3 2 2 2 2¤ 13¤/11

G

VG

© [email protected] Not for sale. Free to use for educational purposes. 1





Geometrical Optics Geometrical Optics

1. A beam of light enters the end of an optic fiber as illustrated in the figure below. Showalgebraically that we can guarantee total internal reflection at the side surfaces of the

cylindrical fiber optics if index of refraction of the fiber optics is greater than 42.1 . Inanother word, regardless of the incident angle 1

1. A beam of light enters the end of an optic fiber as illustrated in the figure below. Showalgebraically that we can guarantee total internal reflection at the side surfaces of the

cylindrical fiber optics if index of refraction of the fiber optics is greater than 42.1 . Inanother word, regardless of the incident angle 1θ , the light ray will be reflected back into

the material at points A , B , … on the side surface of the fiber optics.

Therefore as illustrated below, if we prevent absorption of the light in theglass, the incident ray in one end of the fiber optics will leave the otherend. Simultaneously the transmission of information is done at speed of light. Nobel Prize in Physics 2009 partially went to Prof. Charles Kuen K"for his groundbreaking achievements concerning the transmission of lightin fibers for optical communication." [0/3/¤

ao

]

2. The apex angle of a prism is , and the refracted ray in the prism is parallel with its

prism. [0/2]

°55

base as illustrated in the figure below.

a. Find the index of refraction of the

b. Draw the ray path inside the prism and leaving it. Draw the path as clear and as neatas possible. [0/3]

c. Calculate the minimum incident angle for a ray if it is to emerge from the opposite.

[0/4/¤]

opticsfiber

air

air A

B

1θ

°45

°55




Choose to solve only one of the following problems number 3 (gives only VG points) or 4(gives both VG and MVG¤ points).

3. A stamp collector uses a converging lens with focal length cm0.12 to view a stamp

cm0.8 in front of the lens.

a) Where is the image located? [0/2]

b) Construct the image of the object using rays path. The stamp is a square of side

cm0.2 . [0/2]

c) What is the magnification? [0/1]

4. How far apart are an object and an image formed by a cm75 focal-length converging

lens if the image is ×75.2 larger than the object and is real? [0/4/¤]





Heat and Thermodynamics1. A quarter is dropped from the top of Empire State Building. It is a pleasant April day and the

temperature is C °22 .

a) If %75 of its initial potential energy goes into increasing its

internal energy, find the final temperature of the quarter. [1/3]b) Does the result depend on the mass of the quarter? Why? [1]c) Does the result depend on the composition of the quarter? For

example if instead we dropped a silver quarter fromtop of the Empire State Building. No calculation isneeded just discuss the case conceptually. [0/1]

The roof of the Empire State Building is above

the ground.

m0.381

A quarter is a US coin made of

and , worth .

g670.5 Cu%92

Ni%8 25.0$A non-clad silver quarters weigh 6.25 grams and are composedof 90% silver, 10% copper. What would be its final temperatureif instead we dropped a silver quarter from top of the EmpireState Building?





2. a) How long does it take a W 2001 coffee maker to bring to boil L85.0 of water initially

at C °.12 ? Assume that the part of the coffee maker

which is heated with the water is made of g380

aluminum, the system is thermally isolated from itssurrounding, and no water is boiled away. [1/3]

b) How long would it take for all water in the pot to beevaporated. [0/2]





Choose to solve only one of the following problems number 3 (gives only VG points) or 4(gives both VG and MVG¤ points).

3. What will be the equilibrium temperature when a g450 of copper at C °.330 is placed in a

g.150 aluminum calorimeter cup containing g.825 of water at C °.22 ? [0/2]

4. A g0.15 lead bullet traveling at sm / .220 passes through a thin iron wall and emerges at a

speed of sm / .160 . The bullet absorbs %50 of the heat generated.

a) What is the temperature rise of the bullet? [0/2]b) If the room temperature is C °.20 , will any of the bullet melt, and if so, how much?[0/2/¤]


VG MVG++Level+Test+V1+FyANVC08+Ch+14&23+Heat&Geometric+Optics

Documents

Transcript of VG MVG++Level+Test+V1+FyANVC08+Ch+14&23+Heat&Geometric+Optics