Question

An object is placed at a distance of 10 cm from a convex lens of focal length 12 cm. Find the position and nature of the image.

• A. $v=60cm$, nature = real and magnified beyond $2F$
• B. $v=-60cm$, nature = virtual and magnified beyond $2F$
• C. $v=-60cm,$ nature = real and magnified beyond $2F$
• D. $v=-60cm,$ nature = virtual and diminished beyond $2F$

Answer 1

The correct option is B $v=-60cm$, nature = virtual and magnified beyond $2F$

Given, $u=-10cm$

$f=12cm$

v$=$?

we know,

$\frac{1}{f}=\frac{1}{v}-\frac{1}{u}$

$\frac{1}{12}=\frac{1}{v}-\frac{(-1)}{10}$

$\frac{1}{v}=\frac{5-6}{60}$

$v=-60cm$

Hence, image formed behind the mirror at a distance 60 cm and the image is virtual and magnified beyond 2F.