1.

An object is placed in front of a converging lens of focal length 10 cm and image formed is double the size of object. Then find out the position of object.

Answer»

Solution :Case I : If the image FORMED is real
`-h_(i)/h_(0)=2`
`rArr v/u=-2 rArr v=-2u`
`1/f=1/v-1/u`
`rArr 1/10=-1/(2v)-1/u`
`rArr 1/10=-3/(2u)`
`rArr u=-15` CM
Case II :If the image formed is virtual
`h_(i)/h_(0)=2`
`rArr v=2u`
`1/f=1/v-1/u`
`rArr 1/10=1/(2u)-1/u`
`rArr 1/10=-1/(2u)`
`rArr u=-5` cm


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