If there is zero absorption in the polaroid and if the intensity of plant-polarized light coming out of polaroid is `A^2` , then the intensity of the incident beam will be

Options

A. `A^2`
B. `A^2/2`
C. `2A^2`
D. None of these

Answer

To solve the problem, we need to determine the intensity of the incident beam of light when it passes through a polaroid, given that the intensity of the plane-polarized light coming out of the polaroid is \( A^2 \) and there is zero absorption in the polaroid.

### Step-by-Step Solution:

1. **Understanding the Problem**:
We know that when unpolarized light passes through a polaroid, the intensity of the transmitted light is given by the formula:
\[ I_{transmitted} = \frac{I_{unpolarized}}{2} \]
This formula applies when there is no absorption in the polaroid.

2. **Setting Up the Equation**:
Let \( I_{unpolarized} \) be the intensity of the incident beam of light. According to the problem, the intensity of the light coming out of the polaroid is \( A^2 \). Therefore, we can write:
\[ A^2 = \frac{I_{unpolarized}}{2} \]

3. **Solving for \( I_{unpolarized} \)**:
To find \( I_{unpolarized} \), we can rearrange the equation:
\[ I_{unpolarized} = 2A^2 \]

4. **Conclusion**:
Thus, the intensity of the incident beam of light is:
\[ I_{unpolarized} = 2A^2 \]

### Final Answer:
The intensity of the incident beam will be \( 2A^2 \).

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