Question

if i0 = 20.0 w/m2 , θ0 = 25.0 degrees , and θta = 40.0 degrees , what is the transmitted intensity i1 ? express your answer numerically in watts per square meter .

Answer 1

The transmitted intensity i1 is approximately 23.73 W/m².

Step-by-step explanation:

To find the transmitted intensity i1, we can use the equation:

i1 = i0 * cos(theta0) / cos(theta1)

Substituting the given values, we get:

i1 = 20.0 * cos(25.0) / cos(40.0)

Using a calculator, cosine of 25.0 degrees is approximately 0.9063, and cosine of 40.0 degrees is approximately 0.7660.

Therefore, i1 = 20.0 * 0.9063 / 0.7660 = 23.73 W/m².

Answer 2

To find the transmitted intensity i1, you can use the formula i1 = i0 * cos²(θ0) * cos²(θta), where i0 is the incident intensity, θ0 is the incident angle, and θta is the transmission angle. Plugging in the given values, the transmitted intensity i1 is approximately 6.25 W/m².

Step-by-step explanation:

To find the transmitted intensity i1, we can use the formula:

i1 = i0 * cos²(θ0) * cos²(θta)

Where:

• i1 is the transmitted intensity
• i0 is the incident intensity, given as 20.0 W/m²
• θ0 is the incident angle, given as 25.0 degrees
• θta is the transmission angle, given as 40.0 degrees

Plugging in the values:

i1 = 20.0 * cos²(25.0) * cos²(40.0)

Solving this equation, we find that the transmitted intensity i1 is approximately 6.25 W/m².