A closed organ pipe of length $L$ and an open organ pipe contain gases of densities $\rho_{1}$ and $\rho_{2}$ respectively. The compressibility of gases are equal in both the pipes. Both the pipes are vibrating in their first overtone with same frequency. The length of the open pipe is $\frac{ x }{3} L \sqrt{\frac{\rho_{1}}{\rho_{2}}}$ where $x$ is ......... . (Round off to the Nearest Integer)
JEE MAIN 2021, Diffcult
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1If speed of sound in air in $330 \,m / s$ then, find the number of tones present in an open organ pipe of length $1\, m$ whose frequency if $\leq 1000$.View Solution
- 2In an experiment with sonometer when a mass of $180\,g$ is attached to the string, it vibrates with fundamental frequency of $30\,Hz$. When a mass $m$ is attached, the string vibrates with fundamental frequency of $50\,Hz$. The value of $m$ is $.........\,g$.View Solution
- 3A transverse wave travels on a taut steel wire with a velocity of ${v}$ when tension in it is $2.06 \times 10^{4} \;\mathrm{N} .$ When the tension is changed to $T$. the velocity changed to $\frac v2$. The value of $\mathrm{T}$ is close toView Solution
- 4Two vibrating tuning forks produce progressive waves given by ${y_1} = 4\,\sin \,\left( {500\pi t} \right)$ and ${y_2} = 2\,\sin \,\left( {506\pi t} \right)$. These tuning forks are held near the ear of a person. The person will hear $\alpha \, beats/s$ with intensity ratio between maxima and minima equal to $\beta $. Find the value of $\beta - \alpha $View Solution
- 5Equation of travelling wave on a stretched string of linear density $5\,g/m$ is $y = 0.03\,sin\,(450\,t -9x)$ where distance and time are measured in $SI$ united. The tension in the string is ... $N$View Solution
- 6A transverse sinusoidal wave moves along a string in the positive $x-$ direction at a speed of $10\, cm/s$. The wavelength of the wave is $0.5\, m$ and its amplitude is $10\, cm$. At a prticular time $t$, the snap-shot of the wave is shown in the figure. the velocity of point $P$ when its displacement is $5\, cm$, isView Solution
- 7View SolutionOf the following the one which emits sound of higher pitch is
- 8A particle of mass $5 × 10^{-5}\ kg$ is placed at lowest point of smooth parabola $x^2$ = $40y$ ($x$ and $y$ in $m$) (in $rad/s$). If it is displaced slightly such that it is constrained to move along parabola, angular frequency of oscillation will be approximatelyView Solution
- 9A man is standing on a railway platform listening to the whistle of an engine that passes the man at constant speed without stopping. If the engine passes the man at time ${t_0}$. How does the frequency $f$ of the whistle as heard by the man changes with timeView Solution
- 10A man sitting in a moving train hears the whistle of the engine. The frequency of the whistle is $600 Hz$View Solution