A rod of length $1.2\,m$ is clamped at the mid point and its fundamental frequency is $2\,MHz$ , then speed of wave inside the rod?
Medium
Download our app for free and get startedPlay store
$\mathrm{L}=\lambda / 2 \Rightarrow \lambda=2 \mathrm{L}$

$\mathrm{f}_{0}=\mathrm{v} / \lambda=\mathrm{v} / 2 \mathrm{L}$

$\mathrm{v}=2 \mathrm{L} \mathrm{f}_{0}$

$=2 \times 1.2 \times 2 \times 10^{6}$

$\mathrm{v}=4.8 \times 10^{6} \mathrm{\,m} / \mathrm{s}$

art

Download our app
and 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

  • 1
    A student is performing the experiment of resonance column. The diameter of the column tube is $6 \,cm$. The frequency of the tuning fork is $504\, Hz$. Speed of the sound at the given temperature is $336\, m / s$. The zero of the meter scale coincides with the top end of the resonance column tube. The reading of the water level in the column when the first resonance occurs is..........$cm$
    View Solution
  • 2
    A closed organ pipe has a fundamental frequency of $1.5\, kHz$. The number of overtones that can be distinctly heard by a person with this organ pipe will be : (Assume that the highest frequency a person can hear is $20,000\, Hz$)
    View Solution
  • 3
    On producing the waves of frequency $1000 Hz$ in a Kundt's tube, the total distance between $6$ successive nodes is $ 85 cm.$ Speed of sound in the gas filled in the tube is  ..... $m/s$
    View Solution
  • 4
    Two cars moving in opposite directions approach each other with speed of $22\, m s^{-1}$ and $16.5 \, m s^{-1}$ respectively. The driver of the first car blows a horn having a frequency $400 \,Hz.$ The frequency heard by the driver of the second car is ..... $Hz$ (velocity of sound is $340 \, m s^{-1}$)
    View Solution
  • 5
    A string in musical instrument is $50 cm$ long and its fundamental frequency is $800 Hz.$ If a frequency of $1000 Hz$ is to be produced, then required length of string is ..... $cm$
    View Solution
  • 6
    Two trains are moving towards each other at speeds of $20 m/s$ and $15 m/s$ relative to the ground. The first train sounds a whistle of frequency $600 Hz.$ the frequency of the whistle heard by a passenger in the second train before the train meets is ...... $Hz$ (the speed of sound in air is $340\, m/s$)
    View Solution
  • 7
    Two waves represented by,

    ${y_1} = 10\,\sin \,200\pi t$,

    ${y_2} = 20\,\sin \,\left( {2000\pi t + \frac{\pi }{2}} \right)$

    are superimposed at any point at a particular instant. The amplitude of the resultant wave is

    View Solution
  • 8
    Speed of a transverse wave on a straight wire (mass $6.0\; \mathrm{g}$, length $60\; \mathrm{cm}$ and area of cross-section $1.0\; \mathrm{mm}^{2}$ ) is $90\; \mathrm{ms}^{-1} .$ If the Young's modulus of wire is $16 \times 10^{11}\; \mathrm{Nm}^{-2},$ the extension of wire over its natural length is
    View Solution
  • 9
    Two waves having sinusoidal waveforms have different wavelengths and different amplitude. They will be having
    View Solution
  • 10
    The equation of a stationary wave along a stretched string is given by $y = 5\,sin\, \frac{2\pi }{3}x\, cos\, 40\pi t$ where $x$ and $y$ are in $cm$ and $t$ is in $s$. The separation between two adjacent nodes is ..... $cm$
    View Solution