Question

An object is placed at 4cm distance in front of a concave mirror of radius of curvature 24 cm. Find the position of image. Is the image magnified?​

Answer 1

Answer:

Focal length f=R/2=24/2=−12cm, using sign convention for concave mirror

Object distance u=−4cm

Image distance v=?

Using mirror formula

f

1

=

v

1

+

u

1

−12

1

=

v

1

+

−4

1

v

1

=

12

−1+3

v=+6cm

Hence.the position of image Is at 6cm behind the mirror.

Magnification(M)=

h

o

h

i

=

u

−v

=

−4

−6

=1.5>1

This shows that image is magnified.

Explanation:

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Answer 2

Explanation:

Focal length f=R/2=24/2=−12cm, using sign convention for concave mirror

Object distance u=−4cm

Image distance v=?

Using mirror formula

f

1

=

v

1

+

u

1

−12

1

=

v

1

+

−4

1

v

1

=

12

−1+3

v=+6cm

Hence.the position of image Is at 6cm behind the mirror.

Magnification(M)=

h

o

h

i

=

u

−v

=

−4

−6

=1.5>1