A source of sound and listener are approaching each other with a speed of $40 m/s.$ The apparent frequency of note produced by the source is $400 \,cps$. Then, its true frequency (in $cps$) is (velocity of sound in air $= 360 m/s$)
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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
An engine is moving on a circular track with a constant speed. It is blowing a whistle of frequency $500 Hz$. The frequency received by an observer standing stationary at the centre of the track is
A Siren emitting sound of frequency $800 \;Hz$ is going away from a static listener with a speed of $30\; m/s$, frequency of the sound to be heard by the listener is... $Hz$ (take velocity of sound as $330 \;m/s$)
The phase difference between two points separated by $0.8 m$ in a wave of frequency is $120 Hz$ is $\frac{\pi }{2}.$ The velocity of wave is ..... $m/s$
Two waves are represented by ${y_1} = a\sin \left( {\omega \,t + \frac{\pi }{6}} \right)$ and ${y_2} = a\cos \omega \,t$. What will be their resultant amplitude
$A$ and $B$ are two sources generating sound waves. A listener is situated at $C$ . The frequency of the source at $A$ is $500\,Hz$ . $A,$ now, moves towards $C$ with a speed $4\,m/s.$ The number of beats heard at $C$ is $6.$ When $A$ moves away from $C$ with speed $4\,m/s,$ the number of beats heard at $C$ is $18.$ The speed of sound is $340\,m/s.$ The frequency of the source at $B$ is ..... $Hz$
Four wires of identical length, diameters and of the same material are stretched on a sonometre wire. If the ratio of their tensions is $1 : 4 : 9 : 16$ then the ratio of their fundamental frequencies are
A string of length $1\ m$ fixed at both ends is vibrating in $3^{rd}$ overtone. Tension in string is $200\ N$ and linear mass density is $5\ gm/m$ . Frequency of these vibrations is ..... $Hz$
Two tuning forks $P$ and $Q$ are vibrated together. The number of beats produced are represented by the straight line $OA$ in the following graph. After loading $Q$ with wax again these are vibrated together and the beats produced are represented by the line $OB.$ If the frequency of $P$ is $341Hz,$ the frequency of $Q$ will be ... $ Hz$
Two wires are in unison. If the tension in one of the wires is increased by $2\%, 5$ beats are produced per second. The initial frequency of each wire is .... $Hz$