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Everyday Physics · Question 35 of 68

An object 18 cm in front of the concave mirror of focal length 12 cm in the figure forms a real image.

Question 35

HardOriginal question

An object 18 cm in front of the concave mirror of focal length 12 cm in the figure forms a real image. How many times as tall as the object is the image?

A concave mirror faces left, with its pole P on a horizontal principal axis and its focus F and centre of curvature C marked in front of it. The label reads f = 12 cm. An upright object arrow stands between C and F.
Options for question 35

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Mirror formula: 1/v + 1/u = 1/f, with u = −18 cm and f = −12 cm.

  2. 1/v = −1/12 + 1/18 = −3/36 + 2/36 = −1/36, so v = −36 cm (36 cm in front of the mirror).

  3. Magnification m = −v/u = −(−36)/(−18) = −2: the image is inverted and 2 times as tall.

Worth noting

1.5 is u ÷ f and 0.5 is the reciprocal of the right answer; magnification compares the image distance with the object distance.

Concept
Mirror formula and magnification
Typical time
90 s
Your time
—
The rule this testsLight
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Ten questions from Everyday Physics, at your own pace.

Practise this chapter →

Ten questions from Everyday Physics, at your own pace.