MIME-Version: 1.0 Content-Type: multipart/related; boundary="----=_NextPart_01C8AB11.CC782A00" This document is a Single File Web Page, also known as a Web Archive file. If you are seeing this message, your browser or editor doesn't support Web Archive files. Please download a browser that supports Web Archive, such as Microsoft Internet Explorer. ------=_NextPart_01C8AB11.CC782A00 Content-Location: file:///C:/D9286902/Spring08.phys1112.exam3.SolutionWeb.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" TIME OF COMPLETION_______________

 TIME OF COMPLETION_______________   =          NAME_________SOLUTI= ON____________________

 

 

<= span style=3D'mso-bidi-font-size:10.0pt'> &= nbsp;           &nbs= p;            &= nbsp;           &nbs= p;    DEPARTMENT OF NATURAL SCIENCES

 

PHYS 1112, Exam 3            =             &nb= sp;            =             &nb= sp;            =             &nb= sp;            =             &nb= sp;  Section 1

Version 1            &= nbsp;           &nbs= p;            &= nbsp;           &nbs= p;            &= nbsp;           &nbs= p;            &= nbsp;           &nbs= p;          April 17, 2008

Total Weight: 100 points

 

1.     &nb= sp;   Check your examination for completeness prior to starting.  There are a total of ten (10) prob= lems on eight (8) pages.

 

2.   =       Authorized references include your calculator with calculator handbook, and the Refere= nce Data Pamphlet (provided by your instructor).

 

3.     &nb= sp;   You will have 75 minutes to complete the examination.

 

4.     &nb= sp;   The total weight of the examination is 100 points.

 

5.     &nb= sp;   There are six (6) multiple choice and four (4) calculation problems. Work five (5) multiple choice problems and four (4) calculation problems. Show all work; partial credit will be given for correct work shown.

 

6.     &nb= sp;   If you have any questions during the examination, see your instructor who will=

be located in the classroom.

 

7.     &nb= sp;   Start:        &= nbsp;      10:30 a.m.

Stop:&n= bsp;            = ;   11:45 a.m.

 

k

 

 = ;             <= /span>PROBLEM

 

 = ;            &n= bsp;   POINTS

 

 = ;            &n= bsp;  CREDIT

 

     &nb= sp;            =    1-6

 

     &nb= sp;            =    20

 

 = ;

 

     &nb= sp;            =     7

 

     &nb= sp;            =    20

 

 = ;

 

8

 

     &nb= sp;            =    20

 

 = ;

 

     &nb= sp;            =     9

 

     &nb= sp;            =    20

 

 = ;

 

 = ;            &n= bsp;       10

 

 = ;            &n= bsp;       20

 

 

 

 = ;            &n= bsp;   TOTAL

 

 = ;            &n= bsp;      100

 

 

 

 

 

 = ;          PERCENTAGE

 

 

 

CIRCLE THE SINGLE BEST ANSWER FOR ALL MULTIPLE CHOICE QUESTIONS. IN MULTIPLE CHOICE QUESTIONS WHICH REQUIRE A CALCULATION SHOW WORK FOR PARTIAL CREDIT.

 

 

 

1.  Which one of the following is the correct number for the magnification of the pla= ne mirror?=

 

  &nbs= p;         A) 1.0.

 

  &nbs= p;         B) 0.5.

(4)

  &nbs= p;         C) 1.5.

 

  &nbs= p;         D) 2.0.

 

 

 

2.  The perpendicular distance from the center of curvature to a spherical mirror is called<= /o:p>

 

  &nbs= p;         A) The center of curvature.

 

  &nbs= p;         B) The radius of curvature.=

(4)

  &nbs= p;         C) The focal length.

 

  &nbs= p;         D) Twice the radius of curvature.

 

 

 

 

3.  A beam of light that is parallel to the principal axis is incident on a convex mir= ror. What happens to the reflected beam of light?

 

  &nbs= p;         A) It also is parallel to the principal axis.

  &nbs= p;        

  &nbs= p;         B) It is perpendicular to the principal axis.

(4)

  &nbs= p;         C) It appears to be coming from the fo= cal point on the other side of the mirror.

 

  &nbs= p;         D) It appears to be coming from the center of the curvature of the mirror.

 

 

 

 

4.  A ray of light in air enters a glass surface at right angles to the surface. What= is the angle of refraction?

 

  &nbs= p;         A) 0o.

 

  &nbs= p;         B) 90o.

(4)

  &nbs= p;         C) 180o. <= o:p>

 

  &nbs= p;         D) 270o. <= o:p>

 

 

 

 

5.  The speed of light in a certain medium is 2.20 x 108 m/s. What is the index of refraction of this medium?

 

  &nbs= p;         A) 0.73. <= /span>

 

  &nbs= p;         B) 1.00. <= /span>

(4)

  &nbs= p;         C) 1.36.

 

  &nbs= p;         D) 1.60.        &= nbsp;           &nbs= p;            &= nbsp;           &nbs= p;            &= nbsp;           &nbs= p;            &= nbsp;         

 

 

 

 

 

6.  Which one of the following properties of light is evidence of the wave nature of ligh= t?

 

  &nbs= p;         A) Reflection of light.

 

  &nbs= p;         B) Refraction of light.

(4)

  &nbs= p;         C) Interference of light. <= /span>

 

  &nbs= p;         D) None of the above.=

 

 

 

 

 

 

 

  1. An object with a height of 6.50 cm is placed 8.00= cm in front of a lens. An upright image of the object is formed at a distanc= e of 3.00 cm in front of the lens.

&n= bsp;

  1. What is the focal length of the lens?

 

do=3D 8.00 cm

 

di=3D -3.00 cm

 

1/di + 1/do=3D 1/f

 

1/ f =3D 1/(8.00 cm) + 1/(-3.00 cm) =3D -5/(24.0 cm) <= /p>

 

f =3D -4.80 cm

 

  1. Is the lens converging or diverging?

 

Diverging (f < 0)

 

  1. What is the height of the image?

 

M =3D - di /do =3D - (-3.00 cm)/= (8.00 cm) =3D 0.375

 

M =3D hi /ho

 

hi=3D ho<= /sub> M =3D (6.50 cm)(0.375) =3D  2.44 cm

 

 

  1. Is the image real or virtual?

 

Virtual (for= med in front of the lens).

 

        &= nbsp;     

8.     An insect 3.75 mm tall= is placed 22.5 cm to the left of a thin plano-convex lens. The left surface = of the lens is flat, the right surface has a radius of curvature of magnitude = 13.0 cm, and the index of refraction of the lens material is 1.70.

a.      Is this lens convergin= g or diverging?

 

Converging.

b.     What is the focal leng= th of the lens?

1/f =3D (n-1)(1/R1 – 1/R2)

R1 =3D ∞

R1 =3D -13.0 cm

1/f =3D (1.70 - 1)(1/∞ – 1/(-13.0 cm)) =3D 0.0= 539 cm-1

f =3D 18.6 cm

c.      What is the location o= f the image this lens forms of the insect?

do=3D 22.5 cm

 

1/di + 1/do=3D 1/f

 

1/di =3D 1/f -  1/do 

 

1/ di =3D 1/(18.6 cm) - 1/(22.5 cm)

 

di =3D 106 cm

 

d.     Is the image real or virtual? Upright or inverted? Enlarged or reduced in size?  =


Real (di >0), inverted= (M < 0), enlarged (|M| >1)

 

 

e. Draw a ray diagram to confirm your answers.

 

 

 

9.   &n= bsp; A concave mirror f= orms an image, on a wall 3.00 m in front of the mirror, of the filament of a headli= ght lamp positioned 10.0 cm from the mirror.

a.   &n= bsp;  What is the focal length of the mirror?=

do=3D 10.0 cm

 

f =3D 300 cm

 

1/di + 1/do=3D 1/f

 

1/ f =3D 1/(10.0 cm) + 1/(300 cm) 

 

f =3D 9.68 cm

 <= /span>

b.   &n= bsp; What is the radius= of curvature of the mirror?

R =3D 2 f

R =3D 2 (9.68 cm) = =3D 19.4 cm

c.   &n= bsp;  What is the height of the image if the height of the  object is 5.00 mm?

M =3D - di /do =3D - (300 cm)/(1= 0.0 cm) =3D -30.0

 

M =3D hi /ho

 

hi=3D ho<= /sub> M =3D (5.00 mm)(-30.0) =3D  -150 cm =3D -15.0 cm

 <= /span>

d.   &n= bsp; Is the image real = or virtual?

Real  (image is formed in front of the m= irror)

e.   &n= bsp;  Is the image upright ore inverted?

Inverted (M < 0)         

 

10. The light beam makes an angle of 20.0o = with the normal NN’ in the lin= seed oil. Determine the angles q and <= span style=3D'font-family:Symbol'>q’. (The index of refraction for linseed oil is 1.48, the index of refraction for water is 1.33.)

 

Air-Linseed oil Boundary

 

n1 sin(q= 1) =3D n2 sin(q2) 

 

(1.00) sin(q= ) =3D (1.48) sin(20.0o) 

 

sin(q) =3D (= 1.00) sin(20.0o)/(1.48) =3D 0.506&nbs= p;

 

q =3D 30.4o

 

 

Linseed oil – Water Boundary

 

n1 sin(q= 1) =3D n2 sin(q2) 

 

(1.48) sin(20.0o) =3D (1.33) sin(q') 

 

sin(q') =3D = (1.48) sin(20.0o)/(1.33) =3D 0.381&nbs= p;

 

q' =3D 22.4o

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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PHYS 1112 Exam 3, Version 1

Spring 2008        =             &nb= sp;            =             &nb= sp;            =             &nb= sp;    9

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