A wave on a string is travelling and the displacement of particles on it is given by $x = A\, sin\, (2t -0.1\, x)$. Then the wavelength of the wave is
AIIMS 2009, Medium
Download our app for free and get started
$x=A \sin (2 t-0.1 x)$
also $x=A \sin \left(\frac{2 \pi t}{T}-\frac{2 \pi}{\lambda} x\right)$
$\Rightarrow \frac{2 \pi}{\lambda}=0.1 \Rightarrow \lambda=20 \pi$
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
- 1In a test of subsonic Jet flies over head at an altitude of $100\,\, m$. The sound intensity on the ground as the Jet passes overhead is $160 \,\,dB$. At what altitude should the plane fly so that the ground noise is not greater than $120\,\, dB.$View Solution
- 2View SolutionWith what velocity an observer should move relative to a stationary source so that he hears a sound of double the frequency of source
- 3The velocity of waves in a string fixed at both ends is $2 m/s$. The string forms standing waves with nodes $5.0 cm$ apart. The frequency of vibration of the string in $Hz$ isView Solution
- 4A 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
- 5The equation of stationary wave along a stretched string is given by $y = 5\sin \frac{{\pi x}}{3}\cos 40\pi t$ where $x$ and $y$ are in centimetre and $t$ in second. The separation between two adjacent nodes is .... $cm$View Solution
- 6A block of mass $1\,\, kg$ is hanging vertically from a string of length $1\,\, m$ and mass /length $= 0.001\,\, Kg/m$. A small pulse is generated at its lower end. The pulse reaches the top end in approximately .... $\sec$View Solution
- 7The equation of a progressive wave is $y = 0.02\,\sin \,2\pi \left[ {\frac{t}{{0.01}} - \frac{x}{{0.30}}} \right]$ Here $x$ and $y$ are in metre and $t$ is in second. The velocity of propagation of the wave is .... $ms^{-1}$View Solution
- 8An observer is moving away from source of sound of frequency $100 Hz$. His speed is $33 \,m/s$. If speed of sound is $330 \,m/s$, then the observed frequency is .... $Hz$View Solution
- 9Two waves are propagating along a taut string that coincides with the $x-$axis. The first wave has the wave function $y_1 = A cos [k(x - vt)]$ and the second has the wave function $y = A cos [k(x + vt) + \phi ]$.View Solution
- 10Fundamental frequency of pipe is $100 Hz$ and other two frequencies are $300 Hz$ and $500 Hz$ thenView Solution