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A concave mirror produces three times magnified (enlarged) real image of an object placed at 10 cm in front of it. Where is the image located?

Refraction Lens

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Answer

Given, object distance (u) = -10 cm

Magnification = -3 (as the image is real and inverted)

image distance (v) = ?

We know,

Magnification=vu=height of imageheight of object\text{Magnification} = \dfrac{-v}{u} = \dfrac{\text{height of image}}{\text{height of object}} \\[1em]

Substituting we get,

3=v10v=(3)×(10)v=30 cm-3 = \dfrac{-v}{-10} \\[1em] \Rightarrow -v = (-3) \times (-10) \\[1em] \Rightarrow v = -30 \text{ cm}

The negative sign indicates that an inverted image is formed in front of the given concave mirror at a distance of 30 cm.

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