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A beam of converging rays is incident on a convex mirror of focal length 30cm. In the absence of the mirror the converging rays would meet at a distance of 20cm from the pole of the mirror. If the mirror is situated at the said position where will the converging rays meet?

Text Solution

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In the absence of the mirror the converging rays would meet at P.So,P is the virtual object in case of the mirror
In case of virtual object, OP=u+20cm , f =+30cm, image distance, v=?
We know, `(1)/(v)+(1)/(u)=(1)/(f) or,(1)/(v)+(1)/(20)=+(1)/(30)`
`or, " " (1)/(v)=-(1)/(20)+(1)/(30)=(-1)/(60)or,v=-60cm`
As v is negative, the converging rays will meet at Q at a distance of 60 cm is front of the mirror.
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