The intensity i of light (measured in foot-candles) varies inversely with the square of the distance from the source. suppose that the intensity of a light from the source at a distance of 2 meters is 0.065 foot-candle. determine the intensity of a light from the source at a distance of 10 meters.

The intensity of a light from the source at a distance of 10 meters is 0.0026 foot-candle.

Explanation:

Given that,

Distance from the source = 2 meter

Intensity = 0.065 foot -candle

New distance = 10 m

We know that,

The intensity I of light varies inversely with the square of the distance from the source.

We need to calculate the value of constant

Using formula of intensity

Put the value into the formula

We need to calculate the intensity

Using formula of intensity again

Put the value into the formula

Hence, The intensity of a light from the source at a distance of 10 meters is 0.0026 foot-candle.

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