Question

Assertion: If a stretched wire fixed at both ends is vibrating in its second overtone mode, then total number of nodes and antinodes are four each.
Reason: If a stretched wire fixed at both ends is vibrating, number of antinodes are equal to number of loops.
You are required to choose correct one of the following

• A. Both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
• B. Both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
• C. Assertion is true but Reason is false.
• D. Assertion is false but Reason is true.

Answer 1

The correct option is D Assertion is false but Reason is true.

In second overtone, the string will vibrate in 3 loops.

Here number of nodes (N) = 4
Number of antinodes (AN) = 3

Assertion is false.

From above figure, if a stretched wire is fixed at both ends is vibrating then number of anti-nodes is equal to number of loops.

Reason is true.