Question

If incident rays are converging, then in which region does the image appear?

• A. A
• B. B
• C. C
• D. D

Answer 1

Answer: (C)

If the rays are converging, the must meet to the right of the lens,

Hence, $0<u<\infty$

Reciprocating the terms,

$0<\frac{1}{u}<\infty$

Adding $\frac{1}{f}$ to the inequality,

$\frac{1}{f}<\frac{1}{u}+\frac{1}{f}<\infty$

We know that $\frac{1}{v}-\frac{1}{u}=\frac{1}{f}$

Hence, $\frac{1}{u}+\frac{1}{f}=\frac{1}{v}$

The inequality becomes,

$\frac{1}{f}<\frac{1}{v}<\infty$

Reciprocating the terms,

$0<v<f$

Hence image lies in region C.