Question

An object of height 4.0 cm is placed at a distance of 30 cm from the

optical centre ‘O’ of a convex lens of focal length 20 cm. Draw a ray

diagram to find the position and size of the image formed. Mark optical

centre ‘O’ and principal focus ‘F’ on the diagram. Also find the

approximate ratio of size of the image to the size of the object.​

Answer 1

Object distance u=−30 cm

Focal length of convex lens f=20 cm

Height of object h

o

=4 cm

Using lens formula :

v

1

−

u

1

=

f

1

∴

v

1

−

−30

1

=

20

1

⟹ v=60 cm

Magnification

h

o

h

i

=

u

v

⟹

4

h

i

=

−30

60

⟹ h

i

=−8 cm

Ratio of size of image to that of object =

∣h

o

∣

∣h

i

∣

=

4

8

=2

Answered By

toppr

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