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Q.

An object is present on the principal axis of a concave mirror at a distance 30 cm from it. Focal length of the mirror is 20cm. Image formed by mirror is:

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a

At a distance 60cm in front of mirror

b

At a distance 60cm behind the mirror

c

At a distance 12cm in front of mirror

d

At a distance 12cm behind the mirror 

answer is A.

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Detailed Solution

Use the direct correlation between image distance, object distance, and focal length in this question, which is 1v+1u=1f, Finding the image distance for the concave mirror will be aided by a straight replacement of the variables.

Object distance u=-30 cm
length of the mirror's focus f=-20 cm
Using mirror formula 1v+1u=1f
1v+1-30=1-20
v=(30)(20)-30+20=-60 cm

As a result of the negative image distance, an image is created in front of the mirror at a distance of 60 cm.

Hence, the correct answer is option A.

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