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Question

An object AB is placed on the axis of concave mirror of focal length 10 cm. End A of the object is at 30 cm from mirror. Find the length of the image if length of object is 5 cm.

A
10 cm
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B
2.5 cm
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C
1 cm
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D
0.5 cm
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Solution

The correct option is C 1 cm

For point A:

u=30 cm; f=10 cm

Using mirror formula

1v+1u=1f

1v=1101(30)

v=15 cm

For point B:

u=35 cm; f=10 cm

Again using mirror formula

1v+1u=1f

1v=1101(35)

v=14 cm

Therefore, size of the image
AB = |vv|= |15(14)|

AB=1 cm

Ans. (a)

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