# Inverse Square Law Calculator

According to inverse square law, the intensity of radiation at a specified physical quantity is inversely proportional to the square of the distance of the source from the physical quantity.

## What is an Inverse Square Law Calculator?

An 'Inverse Square Law Calculator' is a free online tool that calculates the unknown term while comparing two different states of a physical quantity. In this calculator, you can enter the known terms and the unknown term will be calculated within a few seconds.

### Inverse Square Law Calculator

**NOTE: **Enter values upto three digits and enter natural numbers only.

## How to Use Inverse Square Law Calculator?

Follow the steps given below to use the calculator:

**Step 1:**Enter the known values of the physical quantity and write the unknown as x in the space provided.**Step 2:**Click on**"Calculate"**.**Step 3:**Click on**"Reset"**to clear the field and enter new values.

## How to Find an Inverse Square Law Calculator?

As the intensity of the radiation is inversely proportional to the square of the distance from the source.

**(I _{1}/I_{2}) = ((d_{2})^{2} / (d_{1})^{2})**

Here I_{1} and I_{2 }are the initial and final intensity of the physical quantity.

And, d_{1} and d_{2} are the initial and final distance from the source.

**Solved Examples on Inverse Square Law Calculator**

**Example 1:**

What will be the final distance between the source and physical quantity if the initial and final intensity are 8 and 64 candela respectively and the initial distance from the source is 4 m.

**Solution:**

We know that (I_{1}/I_{2}) = ((d_{2})^{2} / (d_{1})^{2})

And I_{1} = 8 candela

I_{2 }= 64 candela

d_{1} = 4m

So, (8/64) = ((d_{2})^{2} / (4)^{2})

(1/8) = ((d_{2})^{2} / 16)

d_{2} = 1.41 m

Thus, the final distance from the source is 1.41 m.

**Example 2:**

What will be the final distance between the source and physical quantity if the initial and final intensity are 12 and 25 candela respectively and the initial distance from the source is 11 m.

**Solution:**

We know that (I_{1}/I_{2}) = ((d_{2})^{2} / (d_{1})^{2})

And I_{1} = 12 candela

I_{2 }= 25 candela

d_{1} = 11 m

So, (12/25) = ((d_{2})^{2} / (11)^{2})

(12/25) = ((d_{2})^{2} / 121)

d_{2} = 7.62 m

Thus, the final distance from the source is 1.41 m.

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