The speed of sound in mercury at a certain te | vedclass

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

Question

(A) The speed of sound $v$ in a fluid is given by the formula $v = \sqrt{\frac{K}{\rho}}$,where $K$ is the bulk modulus and $\rho$ is the density of t

Vedclass · Accepted Answer

$2.86 	imes 10^{10} \, N/m^2$

Vedclass · Answer

(A) The speed of sound $v$ in a fluid is given by the formula $v = \sqrt{\frac{K}{ho}}$,where $K$ is the bulk modulus and $ho$ is the density of the medium.Squaring both sides,we get $v^2 = \frac{K}{ho}$.Rearranging for $K$,we have $K = v^2 ho$.Given $v = 1450 \, m/s$ and $ho = 13.6 	imes 10^3 \, kg/m^3$.Substituting the values: $K = (1450)^2 	imes (13.6 	imes 10^3)$.$K = 2102500 	imes 13.6 	imes 10^3$.$K = 28594000 	imes 10^3 = 2.8594 	imes 10^{10} \, N/m^2$.Rounding to two decimal places,$K \approx 2.86 	imes 10^{10} \, N/m^2$.

The speed of sound in mercury at a certain temperature is $1450 \, m/s$. Given the density of mercury as $13.6 \times 10^3 \, kg/m^3$,the bulk modulus for mercury is:

Similar Questions

$A$ hospital uses an ultrasonic scanner to locate tumours in a tissue. What is the wavelength of sound in the tissue in which the speed of sound is $1.7 \; km/s$? The operating frequency of the scanner is $4.2 \; MHz$.

Which of the following waves is used in sonography?

Consider the sound wave travelling in ideal gases of $He$,$CH_4$,and $CO_2$. All the gases have the same ratio $\frac{P}{\rho}$,where $P$ is the pressure and $\rho$ is the density. The ratio of the speed of sound through the gases $V_{He}: V_{CH_4}: V_{CO_2}$ is given by

What is the velocity of a wave in a monoatomic gas having a pressure of $1 \, kPa$ and a density of $2.6 \, kg/m^3$?

When a tuning fork vibrates,the waves produced in the fork are

Vedclass Test Series

Exam Paper Generator

Online Exam Module