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Statement I : In standing waves on a str...

Statement I : In standing waves on a string , the medium particles , i.e., different striung elements remain at rest .
Statement II : In standing waves all the medium particles attain maximum velocity twice in one cycle.

A

Statement I is true , Statement II is true , Statement II is a correct explanation for Statement I.

B

Statement I is true , Statement II is true , Statement II is NOT a correct explanation for Statement I.

C

Statement I is true , Statement II is false.

D

Statement I : is false , Statement II is true.

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To analyze the statements regarding standing waves on a string, we will evaluate each statement step by step. ### Step 1: Understanding Standing Waves Standing waves are formed when two waves of the same frequency and amplitude travel in opposite directions and interfere with each other. This results in a pattern of nodes (points of no displacement) and antinodes (points of maximum displacement). ### Step 2: Evaluating Statement I **Statement I:** In standing waves on a string, the medium particles, i.e., different string elements remain at rest. - In standing waves, only the particles located at the nodes remain at rest. The particles at the antinodes oscillate with maximum displacement. Therefore, this statement is **false**. ### Step 3: Evaluating Statement II **Statement II:** In standing waves, all the medium particles attain maximum velocity twice in one cycle. - In a complete cycle of a standing wave, each particle oscillates back and forth. The maximum velocity occurs at the equilibrium position, which happens twice during one complete cycle (once while moving in one direction and once while returning). Thus, this statement is **true**. ### Conclusion - **Statement I** is false because not all particles remain at rest; only those at the nodes do. - **Statement II** is true because all medium particles do attain maximum velocity twice in one cycle. ### Final Answer - Statement I: False - Statement II: True - Therefore, the correct option is **Option 4** (Statement I is false, Statement II is true). ---
To analyze the statements regarding standing waves on a string, we will evaluate each statement step by step. ### Step 1: Understanding Standing Waves Standing waves are formed when two waves of the same frequency and amplitude travel in opposite directions and interfere with each other. This results in a pattern of nodes (points of no displacement) and antinodes (points of maximum displacement). ### Step 2: Evaluating Statement I **Statement I:** In standing waves on a string, the medium particles, i.e., different string elements remain at rest. ...
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