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?
$2x$
$3x$
$4x$
$8x$
If $n _{1}, n_{2}$ and $n _{3}$ are the fundamental frequencies of three segments into which a string is divided, then the original fundamental frequency $n$ of the string is given by
Two points on a travelling wave having frequency $500\, Hz$ and velocity $300\, m/s$ are $60^o$ out of phase, then the minimum distance between the two points is ..... $m$
The fundamental frequency of a string stretched with a weight of $4 kg$ is $256 Hz$. The weight required to produce its octave is .... $kg \,wt$
The tension in a wire is decreased by $19 \%$. The percentage decrease in frequency will be ......... $\%$
A string fixed at both ends resonates at a certain fundamental frequency. Which of the following adjustments would not affect the fundamental frequency?