Question

an object is placed 15 cm from a convex mirror of radius of curvature 40 cm.how far is the image behind the mirror ​

Answer 1

here is your answer............

Answer 2

$\huge{\textbf{SOLUTION:-}}$

GIVEN:-

u = -15cm

r = 40cm

=> f = r/2 = 20cm

                                                                   

TO FIND - Image Distance (v)

                                                                     

Using mirror formula, we get

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

$\frac{1}{v} = [tex]\frac{1}{f}$ -  $\frac{1}{u}$

Substituting the values, we get,

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

$\frac{1}{v}$ =  $\frac{3+4}{60}$

v = 60/7

v = 8.57cm