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NEET 2020
Exam
NEET
Year
2020
Subject
Physics
Chapter
Waves and Sound

NEET 2020 · Physics · Waves and Sound

The length of the string of a musical instrument is 90cm and has a...

The length of the string of a musical instrument is 90cm90cm and has a fundamental frequency of 120Hz120Hz. Where should it be pressed to produce fundamental frequency of 180Hz?180Hz ?The length of the string of a musical instrument is 90cm and has a fundamental frequency of 120Hz . Where should it beThe length of the string of a musical instrument is 90cm and has a fundamental frequency of 120Hz . Where should it be

Options

  1. A75cm75cm
  2. B60cm60cm
  3. C45cm45cm
  4. D80cm80cm

Correct answer

B. 60cm60cm

Step-by-step solution

The length of the string of a musical instrument is 90cm and has a fundamental frequency of 120Hz . Where should it be

The fundamental frequency in terms of speed of wave and length between two boundaries, ν=v2lν = \dfrac{v}{2l}, it means.

The length of the string of a musical instrument is 90cm and has a fundamental frequency of 120Hz . Where should it be

ν1ν2=l2l1\dfrac{{ν}_{1}}{{ν}_{2}} = \dfrac{{l}_{2}}{{l}_{1}}

⇒l2=l1ν1ν2=90×120180=60cm⇒ {l}_{2} = \dfrac{{l}_{1}{ν}_{1}}{{ν}_{2}} = \dfrac{90 \times 120}{180} = 60cm

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