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Assertion: A glass hemisphere is placed ...

Assertion: A glass hemisphere is placed on a flat plate as shown. The observed interference fringes from this combination shall be circular.
Reason: In all cases fringes are circular.

A

(a)If both Assertion and Reason are true and the Reason is correct explanation of the Assertion.

B

(b)If both Assertion and Reason are true and the Reason is not the correct explanation of the Assertion.

C

(c) If Assertion is true, but the Reason is false.

D

(d) If Assertion is false, but the Reason is true.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question regarding the assertion and reason provided, we will analyze both statements step by step. ### Step 1: Analyze the Assertion The assertion states that "A glass hemisphere is placed on a flat plate as shown. The observed interference fringes from this combination shall be circular." - **Explanation**: When a glass hemisphere is placed on a flat plate, light waves reflecting from the bottom surface of the hemisphere and the flat plate will interfere with each other. The curvature of the hemisphere causes the path difference between the rays to vary in a circular manner. Therefore, the interference pattern observed will indeed be circular. ### Step 2: Analyze the Reason The reason states that "In all cases, fringes are circular." - **Explanation**: This statement is not true. While certain configurations, such as the one involving a glass hemisphere on a flat plate, can produce circular fringes, there are many other configurations (like straight edge diffraction or other geometries) that can produce fringes that are linear or conical. Thus, this reason does not hold universally. ### Conclusion - The assertion is true because the interference fringes from the glass hemisphere on a flat plate are indeed circular. - The reason is false because it incorrectly generalizes that all interference fringes are circular. ### Final Answer The assertion is true, but the reason is false. Therefore, the correct answer is option C. ---
To solve the question regarding the assertion and reason provided, we will analyze both statements step by step. ### Step 1: Analyze the Assertion The assertion states that "A glass hemisphere is placed on a flat plate as shown. The observed interference fringes from this combination shall be circular." - **Explanation**: When a glass hemisphere is placed on a flat plate, light waves reflecting from the bottom surface of the hemisphere and the flat plate will interfere with each other. The curvature of the hemisphere causes the path difference between the rays to vary in a circular manner. Therefore, the interference pattern observed will indeed be circular. ### Step 2: Analyze the Reason ...
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