Q157 / 160 · WBJEE 2011 · Physics
A convex lens of focal length \(30 \mathrm{~cm}\) produces 5 times magnified real image of an object. What is the object distance ?
- Correct answerA\(36 \mathrm{~cm}\)
- B\(25 \mathrm{~cm}\)
- C\(30 \mathrm{~cm}\)
- D\(150 \mathrm{~cm}\)
Solution
Hints: \(\frac{1}{5 \mathrm{u}}-\left(\frac{1}{-\mathrm{u}}\right)=\frac{1}{30}\)
\(\begin{aligned}
& \frac{1}{5 \mathrm{u}}+\frac{1}{\mathrm{u}}=\frac{1}{30}, \frac{5+1}{5 \mathrm{u}}=\frac{1}{30} \\
& \mathrm{u}=36 \mathrm{~cm} .
\end{aligned}\)
Hence, the correct answer is option: 'A'.