1.

A beam of light converges towards a point O, behind a convex mirror of focal lnegth 20cm. Q. Find the magnification and nature of the image when point O is 10cm behind the mirror.

Answer»

2(virtual,inverted)
3(real, inverted)
5(virtual, ENLARGED)
`2` (real, erect)

Solution :a. For this situation, object will be virtual las SHOWN in the figure.
Here, `u=+10cm ` and `f=+20cm`
So, `(1)/(v)+(1)/(+10)=(1)/(+20)rArri.e.,v=-20cm`
i.e., the IMAGE will be at a distance of 20cm in front of the mirror and will be rea, erect and enlarged with `m=-(20//10)=+2`

b. For this situation also, object will be virtual as shown in the figure.
Here, `u=+30cm ` and `f=+20cm`
`(1)/(v)+(1)/(+30)=(1)/(+20) i.e., v=+60cm`
i.e., the image will be at a distance of 60cm BEHIND the mirror and will be virtual, inverted, and enlarged with `m=-(+60//30)=-2`


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