Two sinusoidal waves with same wavelengths and amplitudes travel in opposite directions along a string with a speed $10 ms^{-1}$. If the minimum time interval between two instants when the string is flat is $0.5\, s$, the wavelength of the waves is .... $m$
Easy
Download our app for free and get started
(d) Minimum time interval between two instants when the string is flat
= $\frac{T}{2} = 0.5\sec \Rightarrow T = 1\sec $
Hence $\lambda = v \times T = 10 \times 1 = 10\,m$.
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
- 1View SolutionVelocity of sound is maximum in
- 2A string fixed at both ends vibrates in three loops. The wave length is $10\, cm$ . The length of string is .... $cm$View Solution
- 3A wave represented by the given equation $y = a\cos (kx - \omega \,t)$ is superposed with another wave to form a stationary wave such that the point $x = 0$ is a node. The equation for the other wave isView Solution
- 4A source of sound of frequency $90$ vibrations/ sec is approaching a stationary observer with a speed equal to $1/10$ the speed of sound. What will be the frequency heard by the observer .... $vibrations/sec$View Solution
- 5The displacement $y$ (in $cm$) produced by a simple harmonic wave is $y = \frac{{10}}{\pi }\sin \left( {2000\pi t - \frac{{\pi x}}{{17}}} \right)$. The periodic time and maximum velocity of the particles in the medium will respectively beView Solution
- 6A fork of frequency $256\, Hz$ resonates with a closed organ pipe of length $25.4\, cm$. If the length of pipe be increased by $2\, mm$, the number of beats/sec. will beView Solution
- 7A hospital uses an ultrasonic scanner to locate tumours in a tissue. The operating frequency of the scanner is $4.2 MHz$. The speed of sound in a tissue is $1.7 \,km-s^{-1}$. The wavelength of sound in the tissue is close toView Solution
- 8$Assertion :$ Speed of wave $=\frac{wavelength}{time period}$View Solution
$Reason :$ Wavelength is the distance between two nearest particles in phase. - 9A sound source emits sound waves in a uniform medium. If energy density is $E$ and maximum speed of the particles of the medium is ${v_{\max }}.$The plot between $E$ and ${v_{\max }}$ is best represented byView Solution
- 10The wavelength is $120 cm$ when the source is stationary. If the source is moving with relative velocity of $60\, m/sec$ towards the observer, then the wavelength of the sound wave reaching to the observer will be ... $cm$ (velocity of sound $= 330 \,m/s$)View Solution