Question

A lens produces a magnification of -5. Is this a converging or diverging lens? If the focal length of the lens is 6 cm, draw a ray diagram showing the image formation in this case.​

Answer 1

The lens is converging lens.

Explanation:

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.

Using formula of magnification

m = v / u

Put the value into the formula

- 0.5=  v / u

v = - 0.5 u  

Now, using formula of focal length

1 / f = 1 / v - 1 / u

Put the value into the formula

1 / 6 = 1 / -0.5 u - 1 / u  

1 / 6 = - 1.5 / 0.5 u

u = - 18 cm

Put the value of u in formula of magnification

- 0.5 = v / -18

v = 9 cm

Thus the lens will be converging lens

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