The intensity I of light from a light​ bulb, measured in watts per square meter ​(w/m squared​), varies inversely as the square of the distance d from the light bulb. Suppose I is 70 ​w/m squared when the distance is 3 m. Find the intensity when the distance from the light bulb is 2 m away.?

Respuesta :

Answer:

[tex]157.5W/m^2[/tex]

Explanation:

We are given that

[tex]I=70w/m^2[/tex]

When d=3 m

We have to find the intensity when the distance from the light bulb is 2 m away.

According to question

Intensity,[tex]I\propto\frac{1}{d^2}[/tex]

[tex]I=\frac{kd^2}[/tex]

Where k=Proportionality constant.

Substitute the values

[tex]70=\frac{k}{3^2}[/tex]

[tex]k=70\times 3^2=630[/tex]

Intensity when d=2 m

[tex]I=\frac{630}{2^2}=157.5W/m^2[/tex]