An object is placed 20cm from a concave mirror of focal length 15cm. Calculate the linear magnification of the image formed

A.

0.5

B.

1.5

C.

2.0

D.

3.0

Correct answer is D

\(\frac{1}{U} + \frac{1}{V} = \frac{1}{F}\)

\(\frac{1}{V} = \frac{1}{F} - \frac{1}{U}\)

\(\frac{1}{V} = \frac{1}{15} - \frac{1}{20}\)

\(\frac{1}{V} = \frac{\text{4 - 3}}{60}\)


\(\frac{1}{V} = \frac{1}{60}\)

V = 60cm

M = \(\frac{V}{U} = \frac{60}{20}\)

M = 3.0cm