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?
Medium
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1The length of a sonometer wire tuned to a frequency of $250 Hz$ is $0.60$ metre. The frequency of tuning fork with which the vibrating wire will be in tune when the length is made $0.40$ metre is .... $Hz$View Solution
- 2The figure represents the instantaneous picture of a longitudinal harmonic wave travelling along the negative $x$-axis. Identify the correct statement $(s)$ related to the movement of the points shown in the figure. The points of maximum compression areView Solution
- 3A transverse wave propagating along $x-$ axis is represented by $y (x,t)= 8.0 sin$ $\left( {0.5\pi x - 4\pi t - \frac{\pi }{4}} \right)$ where $x$ is in metres and $t$ is in seconds. The speed of the wave is ..... $m/s$View Solution
- 4The length of a sonometer wire is $0.75\, m$ and density $9 \times 10^3\, kg/m^3$. It can bear a stress of $8.1 \times 10^8\, N/m^2$ without exceeding the elastic limit. What is the fundamental frequency that can be produced in the wire .... $Hz$ ?View Solution
- 5A transverse progressive wave on a stretched string has a velocity of $10\,m{s^{ - 1}}$ and a frequency of $100 Hz.$ The phase difference between two particles of the string which are $2.5 cm$ apart will beView Solution
- 6Find the frequency of minimum distance between compression & rarefaction of a wire. If the length of the wire is $1m$ & velocity of sound in air is $360\, m/s$ .... $sec^{-1}$View Solution
- 7A train whistling at constant frequency is moving towards a station at a constant speed $V$ . The train goes past a stationary observer on the station. The frequency $n'$ of the sound as heard by the observer is plotted as a function of time $t$ (Fig.) . Identify the expected curveView Solution
- 8Each of the properties of sound listed in column $A$ primarily depends on one of the quantities in column $B$. Choose the matching pairs from two columnsView Solution
Column $A$ Column $B$
Pitch Waveform
Quality Frequency
Loudness Intensity
- 9Statement$-1:$ Two longitudinal waves given by equations $y _{1}( x , t )=2 a \sin (\omega t - kx )$ and $y _{2}( x , t )= a \sin (2 \omega t -2 kx )$ will have equal intensity.View Solution
Statement$-2:$ Intensity of waves of given frequency in same medium is proportional to square of amplitude only.
- 10A man standing on a platform observes that the frequency of the sound of a whistle emitted by a train drops by $140 Hz$. If the velocity of sound in air is $330 \,m / s$ and the speed of the train is $70 \,m / s$, the frequency of the whistle is .......... $Hz$View Solution