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Assertion: Mechanical transverse waves ...

Assertion: Mechanical transverse waves can't travel in gaseous medium.
Reason : They do no possess modulus of rigidity.

A

If both Assertion and Reason are true and the Reason is correct expanation of the Assertion.

B

If both Assertion and Reason are true but the Reason is not correct expanation of the Assertion.

C

If Assertion is true, but the Reason is false.

D

If Assertion is false but the Reason is true.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze both the assertion and the reason provided. ### Step 1: Understand the Assertion The assertion states that "Mechanical transverse waves can't travel in gaseous medium." - **Explanation**: Transverse waves are waves where the particle displacement is perpendicular to the direction of wave propagation. For transverse waves to propagate, the medium must have the ability to resist shear stress, which is a characteristic of solids. ### Step 2: Understand the Reason The reason states that "They do not possess modulus of rigidity." - **Explanation**: The modulus of rigidity (also known as shear modulus) is a property that quantifies how a material deforms under shear stress. Gases do not have this property because they cannot sustain shear stress; therefore, they cannot support transverse waves. ### Step 3: Analyze the Relationship Now, we need to determine if the assertion is true or false and if the reason is true or false. - **Assertion**: True, because mechanical transverse waves cannot travel in a gaseous medium. - **Reason**: True, because gases do not possess modulus of rigidity, which is necessary for the propagation of transverse waves. ### Step 4: Conclusion Since the assertion is true and the reason is also true, but the reason does not provide a complete explanation for the assertion, we conclude: - The assertion is true, and the reason is true, but the reason is not the correct explanation for the assertion. ### Final Answer: - The assertion is true, and the reason is true, but the reason is not the correct explanation for the assertion. ---
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