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A lens forms a virtual, diminished image...

A lens forms a virtual, diminished image of an object placed at `2 m` from it. The size of image is half of the object. Which one of the following statements is correct regarding the nature and focal length of the lens ?

A

Concave `|f|=1m`

B

Convex, `|f|=1`

C

Concave,`|f|=2m`

D

Convex, `|f|=2m`

Text Solution

Verified by Experts

The correct Answer is:
C
`m=(f)/(f+u),(1)/(2)=(f)/(f-2)`
or `2f=f-2` or `f=-2 metre`
`|f|=2 metre`
Since the image is virtual as well as diminished therefore the lens is concave.
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  • A convex lens forms a virtual image of an object placed…….. .

    A
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    at infinity
    B
    at a distance 2F from the lens
    C
    at a distance F from the lens
    D
    between the principal focus and the optical centre of the lens

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