A man holds a rectangular card in front of and parallel to a plane mirror. In order for him to see the entire image of the card, the least mirror area needed is: 

A. that of the whole mirror, regardless of its size 

B. that of the pupil of his eye 

C. one-half that of the card 

D. one-fourth that of the card 

E. an amount which decreases with his distance from the mirror

A parallel beam of monochromatic light in air is incident on a plane glass surface. In the glass, the beam: 

A. remains parallel 

D. undergoes dispersion 

B. becomes diverging 

E. follows a parabolic path 

C. becomes converging

Which of the following is NOT correct for a simple magnifying glass? 

A. The image is virtual 

B. The image is erect 

C. The image is larger than the object 

D. The object is inside the focal point

E. The lens is diverging

A hollow lens is made of thin glass, as shown. It can be filled with air, water (n = 1.3) or CS₂ (n = 1.6). The lens will diverge a beam of parallel light if it is filled with:

A. air and immersed in air 

B. air and immersed in water 

C. water and immersed in CS2 

D. CS₂ and immersed in water 

E. CS₂ and immersed in CS₂

An erect object is placed on the central axis of a thin lens, further from the lens than the magnitude of its focal length. The magnification is +0.4. This means: 

A. the image is real and erect and the lens is a converging lens 

B. the image is real and inverted and the lens is a converging lens 

C. the image is virtual and erect, and the lens is a diverging lens 

D. the image is virtual and erect, and the lens is a converging lens 

E. the image is virtual and inverted and the lens is a diverging lens

A convex refracting surface has a radius of 12 cm. Light is incident in air (n = 1) and refracted into a medium with an index of refraction of 2. To obtain light with rays parallel to the central axis after refraction a point source should be placed on the axis: 

A. 3 cm from the surface 

B. 6 cm from the surface 

C. 12 cm from the surface 

D. 18 cm from the surface 

E. 24 cm from the surface

Which instrument uses a single converging lens with the object placed just inside the focal point? 

A. Camera 

B. Compound microscope 

C. Magnifying glass 

D. Overhead projector 

E. Telescope

A concave spherical surface with radius r separates a medium with index of refraction 2 from air. As an object is moved toward the surface from far away along the central axis, its image: 

A. changes from virtual to real when it is r/2 from the surface 

B. changes from virtual to real when it is 2r from the surface 

C. changes from real to virtual when it is r/2 from the surface 

D. changes from real to virtual when it is 2r from the surface 

E. remains virtual

Where must an object be placed in front of a converging lens in order to obtain a virtual image? 

A. At the focal point 

B. At twice the focal length 

C. Greater than the focal length 

D. Between the focal point and the lens 

E. Between the focal length and twice the focal length

A nearsighted person can see clearly only objects within 1.4 m of her eye. To see distant objects, she should wear eyeglasses of what type and focal length? 

A. diverging, 2.8 m 

B. diverging, 1.4 m 

C. converging, 2.8 m 

D. converging, 1.4 m 

E. diverging, 0.72 m