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Q. If a stretched wire is vibrating in the second overtone, then the number of nodes and antinodes between the ends of the string are respectively

KEAMKEAM 2014Waves

Solution:

For third harmonic second overtone
image
So, the number of nodes $=4 \,N$
and the number of antinodes $=3\, A$
NOTE Ambiguous statement in question. Our solution considers the end nodes also.