How far from a converging lens with a focal length of 16 cm should an object be placed to produce a real image which is the same size as the object? Express your answer using two significant figures.

Respuesta :

Answer:

32 cm

Explanation:

f = focal length of the converging lens = 16 cm

Since the lens produce the image with same size as object, magnification is given as

m = magnification = - 1

p = distance of the object from the lens

q = distance of the image from the lens

magnification is given as

m = - q/p

- 1 = - q/p

q = p                                    eq-1

Using the lens equation, we get

1/p + 1/q = 1/f

using eq-1

1/p + 1/p = 1/16

p = 32 cm

The distance from the converging lens is 32 cm.

What is Converging lens?

This is a type of lens which converges rays of light that are traveling parallel to its principal axis.

Parameters

f = focal length of the converging lens = 16 cm

Magnification = m = - q/p

where

m is magnification = - 1

p is distance of the object from the lens

q is distance of the image from the lens

m = - q/p

- 1 = - q/p

q = p  

Lens equation : 1/p + 1/q = 1/f

Substitute q = p into equation

1/p + 1/p = 1/16

p = 32 cm

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