An object is placed 15 cm in front of a convex lens of focal length 25 cm. The image distance will be ______.
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A.
−9.37 cm
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B.
−10.0 cm
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C.
−37.5 cm
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D.
17.5 cm
Correct Answer:
C. −37.5 cm
Explanation:
To find the image distance for a convex lens, the lens formula 1/f = 1/v - 1/u is used. Given an object distance (u) of -15 cm and a focal length (f) of +25 cm, the equation becomes 1/25 = 1/v - 1/(-15), which simplifies to 1/25 = 1/v + 1/15. Solving for 1/v gives 1/25 - 1/15, resulting in a value of -2/75. Therefore, the image distance (v) is -37.5 cm, indicating that a virtual image is formed on the same side as the object.
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