Sound WavesHardBloom L3
Question
A plane transverse wave is propagating in a direction making an angle of 30° with positive x-axis in the x-y plane. Find phase difference between points (0, 0, 0) and (1, 1, 1). Wavelength of the wave is 1m
Options
A.2π rad
B.$(\sqrt{3} + 1)\pi$rad
C.$(\sqrt{2} + 1)\pi$rad
D.None
Solution
Sol. 
$\overrightarrow{B} = \frac{\sqrt{3}}{2}\widehat{i} + \frac{1}{2}\widehat{j}$
$\overrightarrow{A} = \widehat{i} + \widehat{j} + \widehat{k}$
∆φ = $\frac{2\pi}{\lambda}$ : ∆x
∆x = $\overrightarrow{A} \cdot \overrightarrow{B} = \frac{\sqrt{3}}{2} + \frac{1}{2} = \frac{\sqrt{3} + 1}{2}$ ⇒ $\frac{2\pi}{1} \times \frac{\left( \sqrt{3} + 1 \right)}{2}$
Create a free account to view solution
View Solution FreeMore Sound Waves Questions
A standing wave is created on a string of length 120 m and it is vibrating in 6th harmonic. Maximum possible amplitude o...Given below is the circuit digram of an AM demodulator For good demodulation of AM singal of carrier frequency f, the va...The amplitude of a wave represented by displacement equation y = sin ωt ± cos ωt will be :-...An air column in a pipe, which is closed at one end, will be in resonance with vibrating tuning fork of frequency 264 Hz...In an organ pipe whose one end is at x = 0, the pressure is expressed by P = P0 cos sin 300πt where x is in meter a...