Mirror Equation Worksheet (Key).pdf.pdf [PDF]

The Mirror Equation. I length of 10 cm. 1) A candle is placed 15 cm from the vertex of a concave mirror that has a foca

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The Mirror Equation 1) A candle

is placed 15 cm from the vertex of a concave mirror that has a foca I length a) Locate the position of the image by means of (i) a ray diagram

t{..t * "*, lh--""Y*:'T:" + p I ,'*' f= 'n ," :" a;.( =F -ft I(fr|(o-^) J\ Ao,

t

L

,2

d: _: l, t-,-t/ t

l-

/e@'

t-l

t

of

10 cm.

ol,;= 7oe*1

^

b) Find the magnification of the image.

M=

K 1y'=+?U=-n tr-

-J.l

-9ouat-

c) Describe the characteristics of the image.

Ln 7n, 8*1 ,

D4rerf4 2)

44

-)

(

$ry,r),

C

A baby mouse 1.2 cm high is standing 4.0 cm from a converging mirror having a focal length of 300 cm. a) Locate the position of the image by means of (i) a ray diagram (ii) the mirror equation. _t

lr)-./'l

l1o =

/ ' '

&o=

4 O-rt

J:

ToocM

A;,

i,k.k t_ L

*--

I

#^-h /, X

t;

ctu1

{" t, O o,tt

3) When a butterfly of body length 4.2 cm is 10 cm from a concave mirror, its image is 15 cm behind the mirror. Calculate a) the focal length of the mirror.

hr z 4)-crP I o\ot lo c"4 I

h :-lfca1

f--7,

I L

t -l

? 6-fr ft);(h)-' L L_> /o^t -l{c^ f

I

b)

the

magnification.

n

!

, .! n;+ ln='wl d" |

t,

c)

I

the length of the image.

L-,P 4)

th;.-A'/:

i-r-- h

fr-'6 - l,;

)- -+ =k" (tkrh)

7

(

-lf'a

l\ ''^

7cA

fy'= -

5) A 60 cm tall red rose is placed 40 cm from a large cdrrffiirror

h" = (O

A"

7O r,rr=

+-- I"o

-l

o'f

of focal length 20 cm.

a) Locate the position of the image by means of (i) a ray diagram (ii) the mirror equation.

r^

t=

h" ?ot'q t.P= -/o "m --

()t=:

+6.7.^

Where must a peanut be placed in order to produce a real ima e 15 cm from a mirror of focal leneth 10 cm? What is the magrification?

d't 7 A; : tT c-n f ' lO-a' /.\7

h; =

A

k.h

t-t,

l.€

6t/

- 4Ocn

= k;

*,,n- hr= *, f+.1^'ft;) - c-'t "^)-. M- O,jZ{ ,a |

b) Find the\nagnificatibn of the image.

A-- -fr A;

(

.l

1

"o'a I

t

I ;"+lh'= %,4"1

c) What is the height of the image?

A;;

d) Describe trre cn(racteristics of the 17;

t7,d(

to.-t

6 o " ,/,

t_

L ?t

I q o*:l

,^^r[.

,f^^1, O7,;2hf,5n^ilrr,

Beh;ilx -+k

rni rroz

( b.7on 4

\

6)

Light from the Sun is collected by a concave mirror. How far from the mirror is the image of the star if the radius of curvature is 150 cm? (no, you don't need to know the distance to the Sun; just think about it, and explain your reasoning)

il

- 5*".

l-"

("t

fo

^u

o/

/. / L /r74t c oreS

,/o'"/b /

f4

P(

h ) rror

rJ

/A.""/

f

7) A production

line inspector wants a mirror that produces an upright image with magnification of 7.5 when it is located 1.40 cm from a machine part. \L- - 'oj - ' a) What kind of mirror would do thisio!?'

.

11 , ?,f

N

/Co,?c^ue

o'*'"i"il'11'':i;T:i;;a

A17

fl- -a\; a"

i #/

ri,

h*1, lH=€,)Ilt, t l+-

(('-'€

r)n

/-t - ,t

-/o.f"n -|o'rcA --h*," *r,^i:' .6 , f ,i,"-^,/rlt I d" ('' t {f'e1.611

{

8)

A mirror produces an erect, virtual image of an object. What type of mirror would this be? (hint:

R_

the

more than one possible answer here)

- //4/t L

C on U cy y'?)'t lor tr ) rro

c*r/<

f

,b r/

t l,^ q't A-V l,

f nf'v "en f

L

--

co(

9)

ifitit is to 1produce an How far would an object need to be placed from a mirror of focal length 10.0 cmn if image which is 20.0 cm BEHND the mirror? ?-oot+t

I:/o,oc,u

.a)rro.

l

l,+,'r 10)

)=

r

| ' d'o=

I-

I

?'-A;= T"

,i' l/lh.^-*".,,). l@ /t ( t-\-'

A;=^7o,ou^l

A"-7

)

|

^* rzo.4'\fr) le )^-

?

7

,

(orP) " 67 u' 2

.0 cm in front of -100.0 cm is used to fonfir an image. An object is placed used in thisl problem? ofthemirror.a)Whereistheimagelocated?b)Weingusedin ""."*"

A minor with

a focal length

o)

f. -(oo,oc*t | + - *"--h Var,7,-,1- N, f t 1 I d,o: fl,ocn lt i;'-7

lato-c,tt\.-6'".-A'1, f t(onref /, )

+..

--)

1*

b/y':ul *, le), (ir' .\ \(-z-' I I ItL?'\

Cfley+|,'ve+)

u//"1

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