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Question

# A virtual image twice as big as the object is formed by a convex lens when the object is 10 cm away from it. A real image twice as big as the object will be formed when it is placed at a distance from the lens

A
40cm
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B
30cm
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C
20cm
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D
15cm
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Solution

## The correct option is B 30cmFor a lens the magnification is given as: m=vuFor a virtual imagem=vu=+2,when u=−10cmv=2uFrom lens formula1v−1u=1f12u−1u=1ff=20cmFor real image v is positive and u is negativehencev=−2u1(−2u)−1u=1f1f=−32uf=−2u3u=−30cm

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