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A concave mirror having a radius of curv...

A concave mirror having a radius of curvature 40 cm is placed in front of an illuminated point source at a distance of 30 cm from it. Find the location of the image.

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The correct Answer is:
B, C, D
`u=-30 cm, R=-40 cm
From the mirror equation
`1/v+1/u=2/R`
`rarr 1/v=2/R-1/u`
`=2/(-40)-1/(-30)=1/(-20)1/30`
`=(-30+20)/(30xx20)=(-10)/(30x20)`
`=-1/60`
or v=-60cm ltbr. So, the image will be formed is distane of 60 cm in front of the mirror
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Knowledge Check

  • A concave mirror forms an image of sun at a distance of 12 cm from it .

    A
    The radius of curvature of this mirror is 6 cm
    B
    To use it as a shaving mirror, it must be held at a distance of 8 - 10 cm from the face
    C
    If an object is kept at a distance of 12 cm from it, the image formed will be same size as the object
    D
    All the above .

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