1.

An object of size 3.0cm is placed 14cm in front of a concave lens of focal length 21cm. Describe the image produced by the lens. What happens if the object is moved further away from the lens?

Answer»

Solution :For CONCAVE lens,
Here object height h =3 cm
Object distance U = - 14 cm
Focal length f = - 21 cm
Image distance v = ?

`rArr` Lens formula,
`1/f=1/v - 1/u `
`therefore1/v = 1/f + 1/u = 1/(-21) + (1)/(-14)`
`therefore 1/(v) = -(1)/(21) - (1)/(14) = (-2-3)/(42) = (-5)/(42)`
`therefore v = - (42)/(5) cm = - 8.4 cm `
Negative sigh represent that image is virtual erect and siminised and toward object
Maginification
`m = v/u `
`therefore h./h = (-8.4)/(-14)`
`thereforeh. = 0.6 xx h = 0.6 xx 3`
`therefore` Height of image = 1.8 cm
As the object GOES away from lens , the vritual image goes toward the optica centre oflens (but it is never obtained away from optical centre) but it is obtained of dereasing size.


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