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An object is placed 20cm from …

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An object is placed 20cm from the pole of the convex mirror . If its image is formed 12cm from the mirror,then the focal length of the mirror is ........ ? plz answer quick ☝
  • 3 answers

Shruti Trivedi Trivedi 5 years, 4 months ago

F=+30

Ratan Raj 5 years, 4 months ago

F=-30cm

Gaurav Seth 5 years, 4 months ago

Given: A luminous object is placed 20cm from the surface of a convex mirror is set so that the virtual image formed in the two mirror coincide. If the plane mirror is at a distance 12cm from the object

To find the focal length of the convex mirror.

Solution:

As plane mirror is place at a distance of 12 cm from the object, the image formed by plane mirror will be at a distance of 12 cm from the plane mirror as shown in above figure.

AS the virtual image formed by two image coincides, the distance between object and image in both cases is 12+12=24cm as shown in figure.

Given object distance in convex mirror is 20 cm from the convex mirror, so the image will be 4cm (24−20=4) away from the convex mirror, as shown in the figure.

Hence considering convex mirror,

Object distance, u=−20cm

Image distance, v=+4cm

Applying the mirror formula, 

1/v + 1/u = 1/f

f = 5 cm

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