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# Find the focal length of a lens of power -2.0 D. What type of lens is this?

**Given: **Power of the lens $=-2.0\ D$

**To do: **To find the focal length and type of the given lens.

**Solution:**

__Relationship between the power of a lens and its focal length$\rightarrow$__

We know the relationship between focal length and the power of the lens.

Focal length $\boxed{f=\frac{1}{power\ of\ lens(P)}}$

Here, $P\rightarrow$ Power of the lens

$f\rightarrow$ Focal length of the lens

It is given that power of the lens $P=-2.0\ D$

Or $f=\frac{1}{-2.0}$

Or $f=-0.5\ m$

Or $f=-50\ cm$

Therefore,

__The focal length of the lens:__

The focal length of the lens is $-0.5\ m$ or $-50 cm$.

__Nature of the lens:__

Since the focal length is negative. So, it is diverging in nature.

So it is a concave lens.

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