The given diagram shows three light pieces of paper placed on a wire that is stretched over two supports, $Q$ and $R$ , a distance $4x$ apart. When the wire is made to vibrate at a particular frequency, all the pieces of paper, except the middle one, fall off the wire. Which of the following could be the wavelength of the vibration?
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A string of mass $m$ and length $l$ hangs from ceiling as shown in the figure. Wave in string moves upward. $v_A$ and $v_B$ are the speeds of wave at $A$ and $B$ respectively. Then $v_B$ is
A pipe $30\, cm$ long, is open at both ends. Which harmonic mode of the pipe resonates a $1.1\, kHz$ source ? (Speed of sound in air $= 330\, ms^{-1}$)
A string is stretched between two fixed points separated by $75\,cm$ . It is observed to have resonant frequencies of $420\,Hz$ and $315\,Hz$ . There are no other resonant frequencies between these two. Then, the lowest resonant frequency for this string is ..... $Hz$
A source of sound $S$ emitting waves of frequency $100\,\, Hz$ and an observer $O$ are ocated at some distance from each other. The source is moving with a speed of $19 .4\,\, m s^{-1}$ at an angle of $60^o $ with the source observer line as shown in the figure. The observer is at rest. The apparent frequency observed by the observer .... $Hz$ (velocity of sound in air $330 \,\, m s^{-1}$), is