Two sounding sources send waves at a certain | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The relationship between velocity $(v)$,frequency $(n)$,and wavelength $(\lambda)$ is given by $v = n \lambda$.Since both sound sources are at the

Vedclass · Accepted Answer

$303$

Vedclass · Answer

(B) The relationship between velocity $(v)$,frequency $(n)$,and wavelength $(\lambda)$ is given by $v = n \lambda$.Since both sound sources are at the same temperature,the velocity of sound $(v)$ is the same for both waves.Let the frequencies be $n_1$ and $n_2$ corresponding to wavelengths $\lambda_1 = 50 \ cm = 0.5 \ m$ and $\lambda_2 = 50.5 \ cm = 0.505 \ m$.We have $v = n_1 \lambda_1 = n_2 \lambda_2$.Thus,$n_1 (0.5) = n_2 (0.505)$,which implies $\frac{n_1}{n_2} = \frac{0.505}{0.5} = 1.01$.Given $|n_1 - n_2| = 6 \ Hz$,we can write $n_1 = n_2 + 6$.Substituting this into the ratio: $\frac{n_2 + 6}{n_2} = 1.01$.$1 + \frac{6}{n_2} = 1.01 \implies \frac{6}{n_2} = 0.01$.$n_2 = \frac{6}{0.01} = 600 \ Hz$.Now,calculate the velocity: $v = n_2 \lambda_2 = 600 	imes 0.505 \ m = 303 \ m/s$.

Two sounding sources send waves at a certain temperature in air of wavelength $50 \ cm$ and $50.5 \ cm$ respectively. The frequency of the sources differs by $6 \ Hz$. The velocity of sound in air at the same temperature is (in $m/s$)

Similar Questions

The ratio of densities of nitrogen and oxygen is $14:16$. The temperature at which the speed of sound in nitrogen will be the same as that in oxygen at $55^oC$ is ..... $^oC$.

The sound carried by air from a sitar to a listener is a wave of the following type:

Write the equation for the speed of a sound wave in air.

When a sound wave of frequency $300 Hz$ passes through a medium,the maximum displacement of a particle of the medium is $0.1 cm$. The maximum velocity of the particle is equal to:

$A$ man stands in front of a hillock and fires a gun. He hears an echo after $1.5\, s$. The distance of the hillock from the man is ...... $m$ (velocity of sound in air is $330\, m/s$).

Vedclass Test Series

Exam Paper Generator

Online Exam Module