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In a closed tube whose length can be altered by sliding one of the halves relative to other is shown in the figure. In the initial condition the detector detects minimum intensity. One of the tubes is then displaced by 5   cm , during this displacement detector detects maximum intensity for 10 times and then a minimum intensity when the displacement is complete. What is the wavelength of sound?

Options

  1. A10/9 cm
  2. B1 cm
  3. C1 / 2   cm
  4. D5 / 9   cm

Correct answer

B. 1 cm

Step-by-step solution

Path difference introduced due to displacement of tube is given by 2x=10 cm Now due to one wavelength change, maxima/minima will be attained once hence for 10 maxima's ΔP=10λ=10 cm So, λ=1 cm

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