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)`A^2`
B. (b)`A^2/2`
C. (c)`2A^2`
D. (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 half of the intensity of the incident unpolarized light. This is expressed mathematically as:
\[ I_{transmitted} = \frac{1}{2} I_{incident} \]

2. **Setting Up the Equation**:
Let the intensity of the incident unpolarized light be \( I_{incident} = x \). According to the formula, the intensity of the transmitted light (which is given as \( A^2 \)) can be expressed as:
\[ A^2 = \frac{1}{2} x \]

3. **Solving for the Incident Intensity**:
To find \( x \), we can rearrange the equation:
\[ x = 2A^2 \]

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

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

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