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Assertion : A convex lens made of materi...

Assertion : A convex lens made of material of refractive index 1.2 behaves as diverging lens when kept in water of refractive index `4//3`.
Reason : A convex lens made of material of refractive index 1.2 behaves as converging lens when placed in air.

A

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

B

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

C

If assertion is correct but reason is incorrect.

D

If assertion is incorrect but reason is correct.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the assertion-reason question, we need to analyze both statements and determine their validity. ### Step 1: Analyze the Assertion The assertion states that "A convex lens made of material of refractive index 1.2 behaves as a diverging lens when kept in water of refractive index 4/3 (or 1.33)." 1. **Understanding Refractive Indices**: - The refractive index of the lens (n_lens) = 1.2 - The refractive index of water (n_water) = 1.33 2. **Comparison**: - Since n_lens (1.2) < n_water (1.33), the lens will behave differently in water compared to air. 3. **Behavior of the Lens**: - A convex lens typically converges light when placed in a medium with a lower refractive index than itself (like air). - However, when placed in a medium with a higher refractive index (like water in this case), the lens behaves as a diverging lens. ### Conclusion for Assertion: The assertion is **true**. ### Step 2: Analyze the Reason The reason states that "A convex lens made of material of refractive index 1.2 behaves as a converging lens when placed in air." 1. **Understanding Refractive Indices in Air**: - The refractive index of air (n_air) is approximately 1. 2. **Comparison**: - Since n_lens (1.2) > n_air (1), the lens will behave as a converging lens in air. 3. **Behavior of the Lens**: - A convex lens converges light when placed in a medium with a lower refractive index than itself (like air). ### Conclusion for Reason: The reason is **true**. ### Step 3: Determine the Relationship Now, we need to check if the reason correctly explains the assertion. - The assertion is about the behavior of the lens in water, while the reason discusses its behavior in air. - Although both statements are true, the reason does not explain why the lens behaves as a diverging lens in water. ### Final Conclusion: Both the assertion and reason are correct, but the reason does not provide a correct explanation for the assertion. Therefore, the answer is: **Option 2**: Both assertion and reason are correct, but the reason is not the correct explanation of the assertion. ---
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