Question

A lens produces magnification of -0.5cm.Is this a converging or diverging lens?If the focal length of the lens is 6 cm then draw the ray diagram for this case.

Answer 1

the lens is a diverging lens

Answer 2

The lens will be converging lens.

Explanation:

Given that,

Magnification = -0.5

Focal length = 6 cm

Here, focal length is positive and magnification is negative.

The focal length is positive and magnification is negative of converging lens.

We need to calculate the image distance

Using formula of magnification

$m= \dfrac{v}{u}$

Put the value into the formula

$-0.5=\dfrac{v}{u}$

$v=-0.5u$

Now, using formula of focal length

$\dfrac{1}{f}=\dfrac{1}{v}-\dfrac{1}{u}$

Put the value into the formula

$\dfrac{1}{6}=\dfrac{1}{-0.5u}-\dfrac{1}{u}$

$\dfrac{1}{6}=\dfrac{-1.5}{0.5u}$

$u=-18\ cm$

Put the value of u in formula of magnification

$-0.5=\dfrac{v}{-18}$

$v=9\ cm$

Hence, The lens will be converging lens.

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Topic : optics

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