Answer:
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
[tex]I=\dfrac{k}{x^2}[/tex]
Put the value into the formula
[tex]0.065=\dfrac{k}{6.56168^2}[/tex]
[tex]k=0.065\times(6.56168)^2[/tex]
[tex]k=2.798[/tex]
We need to calculate the intensity
Using formula of intensity again
[tex]I=\dfrac{k}{x^2}[/tex]
Put the value into the formula
[tex]I=\dfrac{2.798}{32.8084^2}[/tex]
[tex]I=0.0026\ foot-candle[/tex]
Hence, The intensity of a light from the source at a distance of 10 meters is 0.0026 foot-candle.
