Chapter 23: Light: Geometric Optics
MCAT Study Guide




1.  

Water has an index of refraction of 1.33. If a plane mirror is submerged in water, what is the angle of reflection if light strikes the mirror at an angle of 30o?

Less than 30o because the index of refraction for water is 1.33.
Exactly 30o.
More than 30o because the index of refraction for water is 1.33.
No light is reflected because 30o is the critical angle for water.


2.  

In the process of reflection, which (perhaps more than one) of the characteristics below will always be the same for the reflected ray as for the incident ray?

speed
wavelength
frequency
intensity
polarization
direction


3.  

In the equation 1/do + 1/di = 1/f which is used for both mirrors and lenses, the parameter f is a negative number if ___.

the optical device is converging
the optical device in diverging
the object is real
the object is virtual
the image is real
the image is virtual


4.  

In the equation 1/do + 1/di = 1/f which is used for both mirrors and lenses, the parameter di is a positive number if ___.

the optical device is converging
the optical device in diverging
the object is real
the object is virtual
the image is real
the image is virtual


5.  

If a real object is placed 25 cm from the vertex of a concave spherical mirror which has a radius of curvature of 30 cm, the image formed will be ___.

real, erect and magnified
real, inverted and diminished
virtual, inverted and diminished
real, erect and diminished
virtual, inverted and magnified
real, inverted and magnified


6.  

If a real object is placed 15 cm from the vertex of a convex spherical mirror with a radius of curvature of 40 cm, the image formed will be ___.

real, inverted and magnified
virtual, erect and magnified
virtual, inverted and diminished
real, erect and magnified
real, inverted and diminished
virtual, erect and diminished


7.  

If a real object is placed 30 cm from a concave spherical mirror with a radius of curvature of 20 cm, the image formed will be ___.

real, erect and diminished
virtual, inverted and magnified
virtual, erect and diminished
real, inverted and magnified
virtual, erect and magnified
real, inverted and diminished


8.  

When you look at the image of the car behind you in your curved (wide angle) outside rear view mirror, the image you see is ___.

virtual, erect, with |m| > 1
virtual, erect, with |m| = 1
virtual, erect, with |m| < 1
real and erect with |m| < 1
real and erect with |m| = 1
real and erect with |m| > 1


9.  

A real, inverted, diminished image of a real object placed a distance x from the vertex of a concave spherical mirror with radius Ro will be formed by the process of reflection ___.

if x > Ro
if Ro < x < Ro/2
if x < Ro/2
for no values of x
for all values of x


10.  

Glass has an index of refraction of 1.50. What is the frequency of light that has a wavelength of 500 nm in glass?

1.00 Hz
2.25 Hz
4.00 x 1014 Hz
9.00 x 1016 Hz


11.  

White light incident on an air/glass interface is split into a spectrum within the glass. Which statement is most accurate?

Red light has the greatest angle of refraction.
Violet light has the greatest angle of refraction.
Yellow light has the greatest angle of refraction.
The color with the greatest angle of refraction cannot be determined from the information given.


12.  

The index of refraction for water is 1.33 and that for glass is 1.50. A light ray strikes the water/glass boundary with an incident angle of 30.0o on the water side. Which statement is most likely true for its refracted angle in the glass?

The angle of refraction is 26.3o.
The angle of refraction is 34.7o.
The angle of refraction is 30.0o.
The angle of refraction is 60.0o.


13.  

Light in air is incident on a prism at an angle of 90o relative to the normal to its surface. The index of refraction of the prism material is 1.50. Which of the following statements is most accurate?

The angle of refraction will be greater than 0o but less than 45o.
The angle of refraction will be greater than 45o but less than 90o.
The angle of refraction will be 0o.
The angle of refraction cannot be determined from the information given.


14.  

In the process of refraction, the speed of the refracted light ___ the speed of the incident light.

is equal to
is less than
is more than
may be equal to, less than, or more than


15.  

Light in a transparent medium with index of refraction n1 is incident upon a plane interface with a second medium with index of refraction n2 (< n1). The incident light makes a small angle y with the normal to the plane interface. Some of the light is reflected at the interface and some of it is refracted.

The speed of the reflected light is ___ the speed of the refracted light.

less than
more than
equal to
incomparable, without additional information, with


16.  

Light in a transparent medium with index of refraction n1 is incident upon a plane interface with a second medium with index of refraction n2 (< n1). The incident light makes a small angle y with the normal to the plane interface. Some of the light is reflected at the interface and some of it is refracted.

If the angle of incidence is slowly increased, total internal reflection will occur for those values of y such that ___.

y > sin-1 (n2/n1)
y < sin-1 (n2/n1)
y < sin-1 (n1/n2)
y > sin-1 (n1/n2)
will not occur for any value of y
will occur for all values of y


17.  

A beam of light in a clear transparent fluid with index of refraction nf = 1.35 encounters a plane interface with a piece of glass with index of refraction ng = 1.40. The angle which the incident beam makes with the normal to the interface is a small angle f.

The speed of light in the fluid is ___ the speed of light in the glass.

more than
equal to
less than
incomparable with


18.  

A beam of light in a clear transparent fluid with index of refraction nf = 1.35 encounters a plane interface with a piece of glass with index of refraction ng = 1.40. The angle which the incident beam makes with the normal to the interface is a small angle f.

If the angle f was continuously increased, total internal reflection would ___.

Occur when f < sin-1(nf/ng).
Occur when f > sin-1(nf/ng).
Occur when f > sin-1(ng/nf).
Occur when f < sin-1(ng/nf).
Never occur for any value of f.
Occur for all values of f.


19.  

A real object is placed 10 cm from a converging lens that has a focal length of 6 cm. Which statement is most accurate?

The image is real, erect and enlarged.
The image is real, inverted and enlarged.
The image is real, erect and reduced.
The image is real, inverted and reduced.


20.  

What is the focal length of a lens that forms a virtual image 30 cm from the lens when a real object is placed 15 cm from the lens?

10 cm
15 cm
30 cm
45 cm


21.  

What is the magnification of a lens that forms an image 20 cm to its right when a real object is placed 10 cm to its left?

0.50
1.0
1.5
-2.0


22.  

The image of a real object placed 60 cm from a converging lens with a focal length of 25 cm will be ___.

virtual, inverted and diminished
real, inverted and diminished
virtual, inverted and unmagnified
real, inverted and unmagnified
virtual, inverted and magnified
real, inverted and magnified


23.  

A real object is placed 10 cm from a diverging lens which has a focal length of 12 cm. The image formed will be ___.

real, erect and diminished
real, inverted and magnified
real, inverted and diminished
real, erect and magnified
virtual, erect and diminished
virtual, inverted and diminished


24.  

A real object is placed 15 cm from a converging lens which has a focal length of 20 cm. The image formed will be ___.

real, erect and diminished
real, inverted and magnified
real, inverted and diminished
real, erect and magnified
virtual, inverted and magnified
virtual, erect and magnified


25.  

A real object is placed 20 cm from a converging lens which has a focal length of 15 cm. The image formed will be ___.

real, erect and diminished
real, inverted and magnified
real, inverted and diminished
real, erect and magnified
virtual, erect and diminished
virtual, inverted and diminished


26.  

The image of a real object placed a distance do from the vertex of a spherical optical device (mirror or lens) will be virtual, erect and diminished when ___.

f > 0 and do > 2f
f > 0 and 2f > do > f
f > 0 and f > do > 0
f < 0 and do > 0
none of the above


27.  

A thin lens made of material with index of refraction 1.40 is converging when used in air having a focal length fo. If used in water, this same lens would be ___.

converging with f < fo
diverging with f such that |f| < fo
converging with f =fo
diverging with f such that |f| = fo
converging with f > fo
diverging with f such that |f| > fo


28.  

A thin lens made of material with index of refraction 1.29 is converging when used in air having a focal length fo. If used in water, this same lens would be ___.

converging with f = fo
diverging with f such that |f| = fo
converging with f > fo
diverging with f such that |f| > fo
converging with f < fo
diverging with f such that |f| < fo


Bosworth et al, ARCO MCAT SuperCourse (MacMillan, 1997). Copyright 1997, 1996, 1994, 1991 by Stefan Bosworth, Ronald Drucker, Edgar Schnebel, Denise Garlan, Rosie Soy and Marion Brisk. Used by permission of MacMillan, Inc.

For more information, go to http://www.novapress.net/mcat/books.html.

The Virtual Prof's Physics Study Guide for the MCAT. Copyright 1997 by Glen Terrell and RonJon Publishing, Inc. Used by permission of Glen Terrell. For more information, go to http://www.virtualprof.com.


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