Wave Motion Ques 52

  1. A $20 cm$ long string, having a mass of $1.0 g$, is fixed at both the ends. The tension in the string is $0.5 N$. The string is set into vibration using an external vibrator of frequency $100 Hz$. Find the separation (in $cm$ ) between the successive nodes on the string.

(2009)

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Answer:

Correct Answer: 52.(5)

Solution:

Formula:

Vibrations of Strings (Standing Wave):

  1. Distance between the successive nodes,

$$ d=\frac{\lambda}{2}=\frac{v}{2 f}=\frac{\sqrt{T / \mu}}{2 f} $$

Substituting the values we get, $d=5 cm$



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