${v_1}$ and ${v_2}$ are the velocities of sound at the same temperature in two monoatomic gases of densities ${\rho _1}$ and ${\rho _2}$ respectively. If $\frac{\rho _1}{\rho _2} = \frac{1}{4}$ then the ratio of velocities ${v_1}$ and ${v_2}$ will be
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The rope shown at an instant is carrying a wave travelling towards right, created by a source vibrating at a frequency $n$. Consider the following statements
$I.$ The speed of the wave is $4n \times ab$
$II.$ The medium at $a$ will be in the same phase as $d$ after $\frac{4}{{3n}}s$
$III.$ The phase difference between $b$ and $e$ is $\frac{{3\pi }}{2}$
If the velocity of sound in air is $350 m/s$. Then the fundamental frequency of an open organ pipe of length $50\,cm,$ will be ............... $\mathrm{Hz}$
Two open organ pipes give $4$ beats/sec when sounded together in their fundamental nodes. If the length of the pipe are $100 cm$ and $102.5 cm$ respectively, then the velocity of sound is ..... $m/s$
A wave travels on a light string.The equation of the wave is $Y = A \,\sin \,(kx - \omega t + 30^o)$.It is reflected from a heavy string tied to an end of the light string at $x = 0$. If $64\%$ of the incident energy is reflected the equation of the reflected wave is
The frequency of fundamental tone in an open organ pipe of length $0.48 m$ is $320 Hz.$ Speed of sound is $320 m/sec.$ Frequency of fundamental tone in closed organ pipe will be ... $Hz$
A person in front of a mountain is beating a drum at the rate of $40$ per minute and hears no distinct echo. If the person moves $90 \,m$ closer to the mountain, he has to beat the drum at $60$ per minute to not hear any distinct echo. The speed of sound is .............. $ms^{-1}$
A closed organ pipe has a fundamental frequency of $1.5\, kHz$. The number of overtones that can be distinctly heard by a person with this organ pipe will be : (Assume that the highest frequency a person can hear is $20,000\, Hz$)
The end correction of a resonance column is $1\,cm.$ If the shortest length resonating with the tuning fork is $10\,cm,$ the next resonating length should be ..... $cm$