A converging lens of focal length 15cm is used to obtain a real image magnified $1\frac{1}{2}$ times. Calculate the distance of the image from the lens?

37.5cm

22.5cm

15cm

7.5cm

3.3cm

Correct answer is A

If u=x, v = $1\frac{1}{2}x \Rightarrow if u= 2x,v=3x\\ \frac{1}{f}=\frac{1}{u}+\frac{1}{v}; \frac{1}{15}=\frac{1}{2x}+\frac{1}{3x} \times \frac{5}{6}\\ X=\frac{75}{76}=12.5, v=3x=12.5\times 3=37.5$

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