In Quincke’s tube a detector detects minimum intensity. Now one of the tube is displaced by $5 \,\,cm$. During displacement detector detects maximum intensity $10$ times, then finally a minimum intensity (when displacement is complete). The wavelength of sound is .... $cm$
Diffcult
Download our app for free and get startedPlay store
The bigger dots represent maximas and the smaller dots represent miniimas.

One of the tube is displaced by $5cm.$

Thus total path difference arises, $x=2 \times 5 c m=10 c m$

Due to this path difference $10$ maximas occur between the end points (minimas).

$\Longrightarrow \frac{\lambda}{2}+9 \lambda+\frac{\lambda}{2}=10$

$\Rightarrow \lambda=1 \mathrm{cm}$

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
    The 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 rarefaction are
    View Solution
  • 2
    Two sources of sound placed close to each other, are emitting progressive waves given by $ y_1=4sin\left( {600\pi t} \right)$ and $y_2=5sin\left( {608\pi t} \right)$ An observer located near these two sources of sound will hear
    View Solution
  • 3
    The mass per unit length of a uniform wire is $0.135\, g / cm$. A transverse wave of the form $y =-0.21 \sin ( x +30 t )$ is produced in it, where $x$ is in meter and $t$ is in second. Then, the expected value of tension in the wire is $x \times 10^{-2} N$. Value of $x$ is . (Round-off to the nearest integer)
    View Solution
  • 4
    A closed organ pipe has a frequency $'n'$. If its length is doubled and radius is halved, its  frequency nearly becomes-
    View Solution
  • 5
    A source of sound and listener are approaching each other with a speed of $40 m/s.$ The apparent frequency of note produced by the source is $400 \,cps$. Then, its true frequency (in $cps$) is (velocity of sound in air $= 360 m/s$)
    View Solution
  • 6
    An Indian submarine and an enemy submarine move towards each other during maneuvers in motionless water in the Indian ocean. The Indian submarine moves at $50 km/h$, and the enemy submarine at $70 km/h$. The Indian sub sends out a sonar signal (sound wave in water) at $1000 Hz$. Sonar waves travel at $5500 km/h$. What is the frequency detected by the Indian submarine .... $kHz$
    View Solution
  • 7
    If vibrations of a string are to be increased by a factor of two, then tension in the string must be made
    View Solution
  • 8
    A source of frequency $150 Hz$ is moving in the direction of a person with a velocity of $110\, m/s$. The frequency heard by the person will be  .... $Hz$ (speed of sound in medium $= 330 m/s$)
    View Solution
  • 9
    One insulated conductor from a household extension cord has a mass per unit length of $μ.$ A section of this conductor is held under tension between two clamps. A subsection is located in a magnetic field of magnitude $B$ directed perpendicular to the  length of the cord. When the cord carries an $AC$ current of $"i"$ at a frequency of $f,$ it  vibrates in resonance in its simplest standing-wave vibration state. Determine the  relationship that must be satisfied between the separation $d$ of the clamps and the tension $T$ in the cord.
    View Solution
  • 10
    A parallel beam of light is incident on a tank filled with water up to a height of $61.5 \,mm$ as shown in the figure below. Ultrasonic waves of frequency $0.5 \,MHz$ are sent along the length of the water column using a transducer placed at the top and they form longitudinal standing waves in the water. Which of the schematic plots below best describes the intensity distribution of the light as seen on the screen? (Take, the speed of sound in water to be $1500 \,m / s$ )
    View Solution