(A) Given: Frequency $f = 200 Hz$, Speed $v = 340 m s^{-1}$, Distance $\Delta x = 85 cm = 0.85 m$. First, calculate the wavelength $\lambda$ using the

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(A) Given: Frequency $f = 200 Hz$, Speed $v = 340 m s^{-1}$, Distance $\Delta x = 85 cm = 0.85 m$. First, calculate the wavelength $\lambda$ using the formula $\lambda = \frac{v}{f}$. $\lambda = \frac{340}{200} = 1.7 m$. The phase difference $\Delta \phi$ is related to the path difference $\Delta x$ by the formula $\Delta \phi = \frac{2 \pi}{\lambda} \times \Delta x$. Substituting the values: $\Delta \phi = \frac{2 \pi}{1.7} \times 0.85$. $\Delta \phi = \frac{2 \pi}{1.7} \times \frac{1.7}{2} = \pi$ radians.

Class 11 Physics Waves and Sound Wave Equation and Characteristics of Waves

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$A$ sound wave of frequency $200 Hz$ is travelling in air. The speed of sound in the air is $340 m s^{-1}$. What is the phase difference at a given instant between two points separated by a distance of $85 cm$ along the direction of propagation?

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A
$\pi$
B
$2 \pi$
C
$\frac{\pi}{2}$
D
$\frac{\pi}{4}$

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Waves and Sound

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Wave Equation and Characteristics of Waves

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$A$ sound wave of frequency $200 Hz$ is travelling in air. The speed of sound in the air is $340 m s^{-1}$. What is the phase difference at a given instant between two points separated by a distance of $85 cm$ along the direction of propagation?

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