Q. The frequency and velocity of sound wave are 600 Hz and 360 m/s respectively. Phase difference between two particles of medium are 60°, the minimum distance between these two particles will be

A) 10 cm
B) 15 cm
C) 20 cm
D) 50 cm
Explanation

(a) Velocity of wave (v)=360 m/s
Frequency, n= 600Hz
Phase difference, $\mathrm{\Delta}\Phi = 60ο$
If the minimum distance between two points is ∆x, then
$\mathrm{\Delta}x = \frac{\lambda}{2\pi} \times \mathrm{\Delta}\Phi$
$\Delta x = \frac{v}{2\pi n} \times \mathrm{\Delta}\Phi$
Or
$\mathrm{\Delta}x = \frac{360}{2\pi \times 600} \times 60$
$\mathrm{\Delta}x = \frac{360}{2\pi \times 600} \times \frac{\pi}{3}$
$\mathrm{\Delta}x = \frac{1}{10}m$
$\mathrm{\Delta}x = 10\ cm$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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