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 ..... $m/s$
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A locomotive approaching a crossing at a speed of $20 \,ms ^{-1}$ sounds a whistle of frequency $640 \,Hz$ when $1 \,km$ from the crossing. There is no wind and the speed of sound in air is $330 \,ms ^{-1}$. What frequency is heard by an observer $\sqrt{3} \,km$ on the straight road from the crossing at right angle ......... $Hz$
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
A stretched string of $1m$ length and mass $5 \times {10^{ - 4}}kg$ is having tension of $20N.$ If it is plucked at $25cm$ from one end then it will vibrate with frequency ... $Hz$
A uniform tube of length $60.5\,cm$ is held vertically with its lower end dipped in water. A sound source of frequency $500\,Hz$ sends sound waves into the tube. When the length of tube above water is $16\,cm$ and again when it is $50\,cm,$ the tube resonates with the source of sound. Two lowest frequencies (in $Hz$), to which tube will resonate when it is taken out of water, are (approximately).
Velocity of sound waves in air is $330\; m/sec$. For a particular sound in air, a path difference of $40 \;cm$ is equivalent to a phase difference of $1.6 \pi$. The frequency of this wave is... $Hz$
When a guitar string is sounded with a $440\, Hz$ tuning fork, a beat frequency of $5\, Hz$ is heard. If the experiment is repeated with a tuning fork of $437\,Hz$, the beat frequency is $8\, Hz$. The string frequency $(Hz)$ is
Equation of a progressive wave is given by $y = 0.2\cos \pi \left( {0.04t + 0.02x - \frac{\pi }{6}} \right)$The distance is expressed in $cm$ and time in second. What will be the minimum distance between two particles having the phase difference of $\pi /2$ ...... $cm$
An aluminium rod having a length $100 \,cm$ is clamped at its middle point and set into longitudinal vibrations. Let the rod vibrate in its fundamental mode. The density of aluminium is $2600 \,kg / m ^3$ and its Young's modulus is $7.8 \times 10^{10} \,N / m ^2$. The frequency of the sound produced is .............. $Hz$
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 :