Question

An apple is placed 20.0 cm in front of a diverging lens of focal length 10.0 cm. Find the image distance and the magnification of the apple.

Answer 1

Image distance of apple=-6.7 cm

Magnification of apple=0.33

Step-by-step explanation:

We are given that an apple is placed 20.cm in front of a diverging lens.

Object distance=u=-20 cm

Focal length=f=-10 cm

Because focal length of diverging lens is negative.

We have to find the image distance and magnification of the apple.

Lens formula

`(1)/(f)=(1)/(v)-(1)/(u)`

Substitute the values then we get

`-(1)/(10)=(1)/(v)+(1)/(20)`

`(1)/(v)=-(1)/(10)-(1)/(20)`

`(1)/(v)=(-2-1)/(20)=-(3)/(20)`

`v=-(20)/(3)=-6.7 cm`

Image distance of apple=-6.7 cm

Magnification=m=
`(v)/(u)=(-(20)/(3))/(-20)`

Magnification of apple=
`(1)/(3)=0.33`

Hence, the magnification of apple=0.33