A concave mirror produces 2 times magnified real image of an object placed 15 cm in front of it.
At what distance from the front of the mirror is the image located?
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A.
25 cm
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B.
30 cm
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C.
15 cm
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D.
20 cm
Correct Answer:
B. 30 cm
Explanation:
To find the image distance for a concave mirror with a magnification of 2 and an object distance of 15 cm, we use the magnification formula:
m = -v / u
Given:
Magnification (m) = -2 (The image is real and magnified, so magnification is negative for an inverted real image).
Object distance (u) = -15 cm (By sign convention, the object distance is always negative).
Plugging these into the formula:
\-2 = -v / (-15)
\-2 = v / 15
v = -2 \* 15
v = -30 cm
The negative sign indicates the image is formed 30 cm in front of the mirror. Therefore, the correct option is 30 cm.
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