A : Nicol prism is used to produce and analyse plane polarised light.
R : Nicol prism reduces the intensity of light to zero.

Options

A. Both A and R are true and R is the correct explanation of A
B. Both A and R are true and R is not the correct explanation of A
C. A is true and R is false
D. Both A and R are false

Answer

To analyze the statements given in the question regarding the Nicol prism, we will evaluate both statements A and R separately.

### Step 1: Understand Statement A
**Statement A:** "Nicol prism is used to produce and analyse plane polarised light."

- **Explanation:** A Nicol prism is an optical device made from calcite crystals that is used to produce plane-polarized light. When unpolarized light passes through the Nicol prism, it splits into two rays: one that is transmitted (the ordinary ray) and one that is reflected (the extraordinary ray). The transmitted ray is plane-polarized.

### Step 2: Understand Statement R
**Statement R:** "Nicol prism reduces the intensity of light to zero."

- **Explanation:** This statement is not entirely accurate. While a Nicol prism does reduce the intensity of light, it does not reduce it to zero. Instead, it allows a portion of the light to pass through while blocking the other portion. The intensity of the transmitted light is less than that of the incident light, but it is not zero unless the prism is oriented such that the plane of polarization of the incoming light is perpendicular to the transmission axis of the Nicol prism.

### Step 3: Conclusion
- **Final Evaluation:** Statement A is true, while Statement R is false. Therefore, the correct conclusion is that the Nicol prism is indeed used to produce and analyze plane-polarized light, but it does not reduce the intensity of light to zero.

### Summary:
- **A is True:** Nicol prism is used to produce and analyze plane-polarized light.
- **R is False:** Nicol prism does not reduce the intensity of light to zero; it reduces it but allows some light to pass through.

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