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The equation of a wave is given by (all quantity expressed in $m.k.s\ units$ ) $Y$ = $5\ sin10\pi $ $(t - 0.01x)$ along the $x-$ axis. The phase difference between the points separated by a distance of $10\ m$ along $x-$ axis is
Two identical coherent sound sources $R$ and $S$ with frequency $f$ are $5 \,m$ apart. An observer standing equidistant from the source and at a perpendicular distance of $12 \,m$ from the line $R S$ hears maximum sound intensity.When he moves parallel to $R S$, the sound intensity varies and is a minimum when he comes directly in front of one of the two sources. Then, a possible value of $f$ is close to ............ $Hz$ (the speed of sound is $330 \,m / s$ )
The frequency of a stretched uniform wire under tension is in resonance with the fundamental frequency of a closed tube. If the tension in the wire is increased by $8 N,$ it is in resonance with the first overtone of the closed tube. The initial tension in the wire is .... $N$
A wave pulse on a string has the dimension shown in figure. The waves speed is $v = 1 \,\,cm/s$. If point $O$ is a free end. The shape of wave at time $t = 3 \,\,s$ is :
A closed orgain pipe has length $'l’$. The air in it is vibrating in $3^{rd}$ overtone with maximum displacement amplitude $'a’$. The displacement amplitude at distance $l / 7$ from closed end of the pipe is:
A source of sound $A$ emitting waves of frequency $1800\,Hz$ is falling towards ground with a terminal speed $v.$ The observer $B$ on the ground directly beneath the source receives waves of frequency $2150\,Hz.$ The source $A$ receives waves, reflected from ground of frequency nearly ..... $Hz$ (Speed of sound $= 343\,m/s$ )