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Assertion : Diamond are known for their...

Assertion : Diamond are known for their spectacular brilliance, but diamonds found in nature rarely exhibit the brilliance.
Reason : By cutting the diamond suitably, multiple total internal reflections can be made to occur.

A

If both assertion and reason are true and reason is the correct explanation of assertion.

B

If both assertion and reason are true and reason is not the correct explanation of assertion.

C

If assertion is true but reason is false.

D

If both assertion and reason are false.

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the assertion and reason provided in the question, we can break it down into a step-by-step solution: ### Step 1: Understand the Assertion The assertion states that diamonds are known for their spectacular brilliance, but diamonds found in nature rarely exhibit this brilliance. **Hint:** Consider the natural state of diamonds and how they differ from polished or cut diamonds. ### Step 2: Analyze the Reason The reason given is that by cutting the diamond suitably, multiple total internal reflections can occur. **Hint:** Reflect on how the cutting of diamonds affects the way light interacts with them. ### Step 3: Connect the Assertion and Reason The brilliance of diamonds is primarily due to their ability to reflect light through total internal reflection. In their natural state, diamonds may not be cut in a way that maximizes this effect, hence they do not exhibit the same brilliance as cut diamonds. **Hint:** Think about the role of light entering and exiting the diamond and how angles affect this. ### Step 4: Critical Angle and Total Internal Reflection The critical angle for diamond-air interface is small (approximately 24 degrees). When light enters a well-cut diamond, it can undergo multiple total internal reflections, enhancing its brilliance. **Hint:** Recall the definition of critical angle and its significance in total internal reflection. ### Step 5: Conclusion Both the assertion and the reason are true. The assertion correctly states that natural diamonds lack brilliance, while the reason explains that proper cutting leads to multiple total internal reflections, which is what creates the brilliance associated with diamonds. **Hint:** Summarize the relationship between the cutting of diamonds and the resulting optical phenomena. ### Final Answer Both the assertion and the reason are true, and the reason is the correct explanation of the assertion. Therefore, the answer is Option A.
To analyze the assertion and reason provided in the question, we can break it down into a step-by-step solution: ### Step 1: Understand the Assertion The assertion states that diamonds are known for their spectacular brilliance, but diamonds found in nature rarely exhibit this brilliance. **Hint:** Consider the natural state of diamonds and how they differ from polished or cut diamonds. ### Step 2: Analyze the Reason ...
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