Physics Homework Chapter 25

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Physics Homework Chapter 24

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Physics Homework Chapter 23

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1.An object is placed 95 cm from a concave mirror of radius 77 cm.
(a) Find the location of the image. (Enter in cm. Use a negative number if the image is behind the mirror)
_____cm

(b) What is the magnification of the mirror?
_____


Is the image real or virtual? Is the image upright or inverted? (Select all that apply.)
inverted
upright
virtual
real






2. A woman holds a tube of lipstick 9.2 cm from a spherical mirror and notices that the image of the tube is inverted and one third its normal size.

(a) Determine the position of the image. Is it in front of or behind the mirror? (Use a negative number below to indicate the image is behind the mirror.)
_____cm

(b) Calculate the focal length of the mirror.
_____cm







3. A dentist uses a mirror to examine a tooth that is 1.00 cm in front of the mirror. The image of the tooth is formed 15.0 cm behind the mirror.

(a) Determine the mirror's radius of curvature.
_____cm

(b) Determine the magnification of the image.
_____✕





4. A convex spherical mirror, whose focal length has a magnitude of 18.2 cm, is to form an image 10.8 cm behind the mirror.

(a) Where should the object be placed?
_____cm in front of the mirror

(b) What is the magnification of the mirror?
_____




5.To fit a contact lens to a patient's eye, a keratometer can be used to measure the curvature of the cornea-the front surface of the eye. This instrument places an illuminated object of known size at a known distance p from the cornea, which then reflects some light from the object, forming an image of it. The magnification M of the image is measured by using a small viewing telescope that allows a comparison of the image formed by the cornea with a second calibrated image projected into the field of view by a prism arrangement. Determine the radius of curvature of the cornea when p = 25.0 cm and M = 0.0160.
_____mm




6.A virtual image is formed 18.5 cm from a concave mirror having a radius of curvature of 39.0 cm.

(a) Find the position of the object.
_____cm in front of the mirror

(b) What is the magnification of the mirror?
_____





7. A concave makeup mirror is designed so that a person 30 cm in front of it sees an upright image magnified by a factor of two. What is the radius of curvature of the mirror?
R = _____ m





8. A concave mirror has a focal length of 34.3 cm.
(a) What is its radius of curvature?
_____cm

(b) Locate the image when the object distance is 100 cm. (Indicate the side of the mirror with the sign of your answer.)
_____cm

Describe the properties of the image when the object distance is 100 cm. (Select all that apply.)
real
virtual
upright
inverted


(c) Locate the image when the object distance is 10.0 cm. (Indicate the side of the mirror with the sign of your answer.)
_____cm

Describe the properties of the image when the object distance is 10.0 cm. (Select all that apply.)
real
virtual
upright
inverted

A Chart showing the sign conventions to describe the variables for a Mirror, Refracting Surface, and Thin Lens.

9. A man standing 1.54 m in front of a shaving mirror produces an inverted image 19.4 cm in front of it. How close to the mirror should he stand if he wants to form an upright image of his chin that is twice the chin's actual size?

_____cm





10. At an intersection of hospital hallways, a convex spherical mirror is mounted high on a wall to help people avoid collisions. The magnitude of the mirror's radius of curvature is 0.548 m.

(a) Locate the image of a patient 11.0 m from the mirror. (Use the correct sign conventions.)
_____cm (from the mirror)

(b) Indicate whether the image is upright or inverted.
upright
inverted  

(c) Determine the magnification of the image.
_____





11. A cubical block of ice 51.0 cm on an edge is placed on a level floor over a speck of dust. Locate the image of the speck, when viewed from directly above, if the index of refraction of ice is 1.309.
_____cm below the upper surface of the ice





12. A contact lens is made of plastic with an index of refraction of 1.50. The lens has an outer radius of curvature of +2.05 cm and an inner radius of curvature of +2.43 cm. What is the focal length of the lens?
_____cm




13. A converging lens has a focal length of 34 cm. Locate the images for the following object distances if they exist. (Enter 0 in the q and M fields if no image exists.)
(a) 34.00 cm
q  = _____
m  = _____

Select all that apply to part (a).
 real
upright
virtual
 no image
inverted

(b) 11.33 cm
q  = _____
m  = _____

Select all that apply to part (b).
inverted
 virtual
upright
 no image
real

(c) 102.00 cm
q  = _____
m  = _____

Select all that apply to part (c).
inverted
 virtual
upright
no image
 real





14. A diverging lens has a focal length of magnitude 23.8 cm.
(a) Locate the images for each of the following object distances.
47.6 cm
distance _____cm
location in front of

23.8 cm
distance _____cm
location in front of

11.9 cm
distance _____cm
location in front of

(b)Is the image for the object at distance ___real or virtual?
real
virtual  


(c) Is the image for the object at distance____ inverted or upright?
upright
inverted  


(d)Find the magnification for the object





15. A converging lens is placed 40.0 cm to the right of a diverging lens of focal length 10.0 cm. A beam of parallel light enters the diverging lens from the left, and the beam is again parallel when it emerges from the converging lens. Calculate the focal length of the converging lens.
f = _____cm





16. Two converging lenses, each of focal length 14.9 cm, are placed 39.4 cm apart, and an object is placed 30.0 cm in front of the first lens. Where is the final image formed?

The image is located _____cm in front of the second lens.

What is the magnification of the system?
M = _____x





17. A 1.00-cm-high object is placed 3.05 cm to the left of a converging lens of focal length 7.05 cm. A diverging lens of focal length −16.00 cm is 6.00 cm to the right of the converging lens. Find the position and height of the final image.
position_____cm in front of the second lens

height _____cm

Is the image inverted or upright?
upright
inverted  


Is the image real or virtual?
real
virtual

Physics Homework Chapter 22

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1. (a) What is the energy in joules of an x-ray photon with wavelength 6.15  10-9 m?
_____J

(b) Convert the energy to electron volts.
_____eV

(c) If more penetrating x-rays are desired, should the wavelength be increased or decreased?
_____






2. Find the energy of the following. Express your answers in units of electron volts, noting that 1 eV = 1.60  10-19 J.

(a) a photon having a frequency of 5.60  1017 Hz
_____eV

(b) a photon having a wavelength of 8.20  102 nm
_____eV







3. (a) Calculate the wavelength of light in vacuum that has a frequency of 1.0  1014 Hz.
_____m

(b) What is its wavelength in benzene? (The index of refraction of benzene is 1.501.)
_____m

(c) Calculate the energy of one photon of such light in vacuum. Express the answer in electron volts.
_____eV

(d) What is the properties of and effect on the energy of the photon when it enters the benzene? (Select all that apply.)
the energy is inversely proportional to the frequency
the energy goes down
the energy is not proportional to the frequency
the energy does not change
the energy is proportional to the frequency
the energy goes up








4. A ray of light travels from air into another medium, making an angle of θ1 = 45.0° with the normal as in the figure below.

(a) Find the angle of refraction θ2 if the second medium is fused quartz. (The index of refraction for fused quartz is 1.458.)
_____°

(b) Find the angle of refraction θ2 if the second medium is ice. (The index of refraction for ice is 1.309.)
_____°

(c) Find the angle of refraction θ2 if the second medium is sodium chloride. (The index of refraction for sodium chloride is 1.544.)
_____°







5. As shown in the figure below, a light ray is incident normal to on one face of a 30°-60°-90° block of zircon that is immersed in water.

(a) Determine the exit angle θ4 of the ray.
θ4 = ____°

(b) A substance is dissolved in the water to increase the index of refraction. At what value of n2 does total internal reflection cease at point P?
n2 = _____







6. A laser beam is incident at an angle of 28.6° to the vertical onto a solution of corn syrup in water.

(a) If the beam is refracted to 19.12° to the vertical, what is the index of refraction of the syrup solution?
_____

(b) Suppose the light is red, with wavelength 632.8 nm in a vacuum. Find its wavelength in the solution.
_____nm

(c) Find its frequency in the solution.
_____Hz

(d) Find its speed in the solution.
_____m/s






7. A ray of light is incident on the surface of a block of clear ice at an angle of 48.0° with the normal. Part of the light is reflected and part is refracted. Find the angle between the reflected and refracted light.
_____°







8. A laser beam is incident on a 45°--45°--90° prism perpendicular to one of its faces, as shown in the figure below. The transmitted beam that exits the hypotenuse of the prism makes an angle of θ = 23.9° with the direction of the incident beam. Find the index of refraction of the prism.
_____






9. The index of refraction for red light in water is 1.331 and that for blue light is 1.340. If a ray of white light enters the water at an angle of incidence of 66.25°, what are the underwater angles of refraction for the blue and red components of the light?
(a) blue component
_____°

(b) red component
_____°






10. For light of wavelength 589 nm, calculate the critical angles for the following substances when surrounded by air.
fused quartz  _____°
flint glass _____°
zircon _____°







11. For light of wavelength 589 nm, calculate the critical angles for the following substances when surrounded by water.
fluorite _____°
flint glass _____°
zircon _____°







12. A light ray is incident normally to the long face (the hypotenuse) of a 45° -45° -90° prism surrounded by air, as shown in the figure below. Calculate the minimum index of refraction of the prism for which the ray will totally internally reflect at each of the two sides making the right angle.
_____