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The inhabitants of a planet in another galaxy have their eyes at the exact center of their 4.0-m-long bodies. How long must a plane mirror be for such a creature to be able to see all of its body in the mirror?


A) 1.0 m
B) 2.0 m
C) 2.5 m
D) 4.0 m
E) 8.0 m

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​An object is placed a distance y0 = −2f in front of a concave mirror of focal length f that is located at y = 0. An identical object is placed a distance ​y'0 = −2f in front of a convex mirror of focal length −f that is located at y' = 0. The difference between the two image positions, yi − y'i, is


A) ​f /2.
B) ​f.
C) ​4f /3.
D) ​2f.
E) ​8​f​ /3.

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Two mirrors are at right angles to one another. A light ray is incident on the first at an angle of 30° with respect to the normal to the surface. What is the angle of reflection from the second surface? ​


A) ​30°
B) ​60°
C) ​45°
D) ​53°
E) ​75°

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​Two mirrors are at right angles to one another. If an object is placed near the mirrors, what is the largest number of images that would be seen in the mirrors?


A) ​3
B) ​2
C) ​4
D) ​5
E) ​6

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​Two flat rectangular mirrors are set edge to edge and placed perpendicular to a flat nonreflecting surface. A light ray that reflects from mirror 1 at angle θM 1 then strikes the second mirror and reflects at θM 2 such that the angle between the ray reaching mirror 1 and the ray leaving mirror 2 is 180°. The angle between the two mirrors is


A) ​0°.
B) ​45°.
C) ​90°.
D) ​150°.
E) ​235°.

Correct Answer

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