Question

4.) An object is placed at a distance of 20cm from a convex mirror of focal length 15cm. Find the position and nature of the image.

Answer 1

Hello,

question:-) An object is placed at a distance of 20cm from a convex mirror of focal length 15cm. Find the position and nature of the image.


Answer:-) using mirror formula,we have,

1/v+1/u=1/f

1/v-1/20=1/15

1/v=1/15+1/20

1/v=4+3/60

v=60/7=8.5cm

therefore.the image formed behind the mirror amd forms virtual and diminished image....

Answer 2

$\bf\huge u = -20cm , f = 15cm$

$\bf\huge\frac{1}{f} = \frac{1}{u}+\frac{1}{v}$

$\bf\huge\frac{1}{v} = \frac{1}{15} - \frac{1}{-20}$

$\bf\huge\frac{1}{v} = \frac{1}{15} - \frac{1}{20}$

$\bf\huge\frac{1}{v} = \frac{7}{60}$

$\bf\huge\texttt v = 8.57 cm$

$\bf\huge\boxed{\boxed{\:Nature\:of\:Image\:=\:Virtual}}}$