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A man standing in front of a mountain beats a drum at regular intervals. The rate of drumming is generally increased and he finds that the echo is not heard distinctly when the rate becomes $40$ per minute. He then moves nearer to the mountain by $90 m$ and finds that echo is again not heard when the drumming rate becomes $60$ per minute. The distance between the mountain and the initial position of the man is .... $m$
A stationary source is emitting sound at a fixed frequency $\mathrm{f}_0$, which is reflected by two cars approaching the source. The difference between the frequencies of sound reflected from the cars is $1.2 \%$ of $f_0$. What is the difference in the speeds of the cars (in $\mathrm{km}$ per hour) to the nearest integer? The cars are moving at constant speeds much smaller than the speed of sound which is $330 \mathrm{~ms}^{-1}$.
Oxygen is $16$ times heavier than hydrogen. Equal volumes of hydrogen and oxygen are mixed. The ratio of speed of sound in the mixture to that in hydrogen is
The wave equation is $y = 0.30\sin (314t - 1.57x)$ where $t, x$ and $y$ are in second, meter and centimeter respectively. The speed of the wave is ..... $m/s$
A closed organ pipe of length $l$ is sounded together with another closed organ pipe of length $l + x (x << l)$ both in fundamental mode. If $v$ = speed of sound, the beat frequency heard is
Three sound waves of equal amplitudes have frequencies $(n - 1 ), n, (n + 1 ).$ They superimpose to give beats. The number of beats produced per second will be
When two progressive waves $\mathrm{y}_1=4 \sin (2 \mathrm{x}-6 \mathrm{t})$ and $\mathrm{y}_2=3 \sin \left(2 \mathrm{x}-6 \mathrm{t}-\frac{\pi}{2}\right)$ are superimposed, the amplitude of the resultant wave is
A whistle $S$ of frequency $f$ revolves in a circle of radius $R$ at a constant speed $v$. What is the ratio of largest and smallest frequency detected by a detector $D$ at rest at a distance $2R$ from the centre of circle as shown in figure ? (take $c$ as speed of sound)
An engine whistling at a constant frequency $n_0$ and moving with a constant velocity goes past a stationary observer. As the engine crosses him, the frequency of the sound heard by him changes by a factor $f$. The actual difference in the frequencies of the sound heard by him before and after the engine crosses him is