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(A): In a mechanical progressive wave, e...

(A): In a mechanical progressive wave, energy is transferred from one point to the other.
(R): In a mechanical progressive wave energy transfer takes place because of the coupling through elastic forces between neighbouring oscillating particles of the medium.

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

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze the statement (A) and the reason (R) provided. ### Step-by-Step Solution: 1. **Understanding Statement (A)**: - The statement (A) claims that in a mechanical progressive wave, energy is transferred from one point to another. - This is true because mechanical waves, such as sound waves or waves on a string, involve the transfer of energy through the medium as the wave propagates. 2. **Understanding Statement (R)**: - The reason (R) states that in a mechanical progressive wave, energy transfer occurs due to coupling through elastic forces between neighboring oscillating particles of the medium. - This is also true. When a wave travels through a medium, the particles of the medium oscillate around their equilibrium positions. The oscillation of one particle affects its neighboring particles due to elastic forces (like tension in a string or pressure in a fluid), causing them to oscillate as well. 3. **Establishing the Relationship Between (A) and (R)**: - Since both statements (A) and (R) are true, we need to determine if (R) correctly explains (A). - The coupling through elastic forces indeed explains how energy is transferred from one particle to another, which leads to the propagation of the wave. Thus, (R) provides a valid explanation for (A). 4. **Conclusion**: - Both statement (A) and reason (R) are true, and (R) is the correct explanation of (A). ### Final Answer: Both (A) and (R) are true, and (R) is the correct explanation of (A). ---
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