The speed of sound in air at a given temperature is $350 m/s$. An engine blows whistle at a frequency of $1200 \,cps$. It is approaching the observer with velocity $50 m/s$. The apparent frequency in cps heard by the observer will be
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A progressive wave travelling in positive by $x-$ direction given by $y = a\, sin (kx -\omega t)$ meets fixed end at $x = 0$. The reflected wave may be given by
The string of a violin has a frequency of $440 \,cps$. If the violin string is shortened by one fifth, its frequency will be changed to ........... $cps$
A sinusoidal wave of frequency $500 \,Hz$ has a speed of $350 \,m / s$. The phase difference between two displacements at a certain point at times $1 \,m$ apart is ...........
The intensity of sound from a radio at a distance of $2$ metres from its speaker is $1 \times {10^{ - 2}}\mu \;W/{m^2}.$ The intensity at a distance of $10$ meters would be
Two vibrating strings of the same material but lengths $L$ and $2L$ have radii $2r$ and $r$ respectively. They are stretched under the same tension. Both the strings vibrate in their fundamental modes, the one of length $L$ with frequency $n_1$ and the other with frequency $n_2$. The ratio $n_1/n_2$ is given by
In 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 $.........\,g$.