Answer:
The transmitted intensity is
![I = 40 \ W/m^2](https://img.qammunity.org/2021/formulas/physics/college/6zlf16l15oj26rysk9xpk3uubbxfujlafr.png)
Step-by-step explanation:
From the question we are told that
The intensity of the unpolarized light
![I_o = 80 \ W /m^2](https://img.qammunity.org/2021/formulas/physics/college/ka579r9knzsrz94yebvb3a7l3xbh12sr8r.png)
Generally for a single filter the transmitted intensity of light is mathematically evaluated as
![I = (I_o)/(2)](https://img.qammunity.org/2021/formulas/physics/college/913jlov3oe1utqhwbe0m21q07tb6ur2qt8.png)
substituting values
![I = (80)/(2)](https://img.qammunity.org/2021/formulas/physics/college/i7ht2tin341aqicocri5kyu8qy2z62ojh9.png)
![I = 40 \ W/m^2](https://img.qammunity.org/2021/formulas/physics/college/6zlf16l15oj26rysk9xpk3uubbxfujlafr.png)