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Waves and Sound — JEE physics STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 ScienceJEE physicsWaves and Sound1 Mark
MCQ
If you set up the seventh harmonic on a string fixed at both ends, how many nodes and antinodes are set up in it
  • ✓
    $8,7$
  • B
    $7,7$
  • C
    $8,9$
  • D
    $9,8$
✓

Answer

Correct option: A.
$8,7$
String will vibrate in $7$ loops so it will have $8$ nodes $7$ antinodes.Number of harmonics $=$ Number of loops $=$ Number of antinodes  $\Rightarrow$ Number of antinodes $(=7)$
Hence number of nodes $=$ Number of antinodes $+1=7+1=8$

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