मराठी
कर्नाटक बोर्ड पी.यू.सी.पीयूसी विज्ञान इयत्ता ११

A Wave Pulse, Travelling on a Two-piece String, Gets Partially Reflected and Partially Transmitted at the Junction. the Reflected Wave is Inverted in Shape as Compared to the Incident One. - Physics

Advertisements
Advertisements

प्रश्न

A wave pulse, travelling on a two-piece string, gets partially reflected and partially transmitted at the junction. The reflected wave is inverted in shape as compared to the incident one. If the incident wave has wavelength λ and the transmitted wave λ'

पर्याय

  • \[\lambda' > \lambda\]

  • \[\lambda' = \lambda\]

  • \[\lambda' < \lambda\]

  • nothing can be said about the relation of \[\lambda  \text{ and } \lambda'\]

MCQ
Advertisements

उत्तर

\[\lambda' < \lambda\]

As  \[v = \sqrt{\frac{f}{\mathrm{\mu}}}\] 
A wave pulse travels faster in a thinner string.
The wavelength of the transmitted wave is equal to the wavelength of the incident wave because the frequency remains constant.

shaalaa.com
The Speed of a Travelling Wave
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 15: Wave Motion and Waves on a String - MCQ [पृष्ठ ३२२]

APPEARS IN

एचसी वर्मा Concepts of Physics Vol. 1 [English] Class 11 and 12
पाठ 15 Wave Motion and Waves on a String
MCQ | Q 10 | पृष्ठ ३२२

संबंधित प्रश्‍न

A stone dropped from the top of a tower of height 300 m high splashes into the water of a pond near the base of the tower. When is the splash heard at the top given that the speed of sound in air is 340 m s–1? (g= 9.8 m s–2)


A steel wire has a length of 12.0 m and a mass of 2.10 kg. What should be the tension in the wire so that speed of a transverse wave on the wire equals the speed of sound in dry air at 20 °C = 343 m s–1.


Use the formula `v = sqrt((gamma P)/rho)` to explain why the speed of sound in air increases with humidity.


You have learnt that a travelling wave in one dimension is represented by a function y= f (x, t)where x and t must appear in the combination x – v t or x + v t, i.e. y = f (x ± v t). Is the converse true? Examine if the following functions for y can possibly represent a travelling wave:

(a) `(x – vt )^2`

(b) `log [(x + vt)/x_0]`

(c) `1/(x + vt)`


(i) For the wave on a string described in Exercise 15.11, do all the points on the string oscillate with the same (a) frequency, (b) phase, (c) amplitude? Explain your answers. (ii) What is the amplitude of a point 0.375 m away from one end?


A train, standing in a station-yard, blows a whistle of frequency 400 Hz in still air. The wind starts blowing in the direction from the yard to the station with at a speed of 10 m s–1. What are the frequency, wavelength, and speed of sound for an observer standing on the station’s platform? Is the situation exactly identical to the case when the air is still and the observer runs towards the yard at a speed of 10 m s–1? The speed of sound in still air can be taken as 340 m s–1.


A sonometer wire of length l vibrates in fundamental mode when excited by a tuning fork of frequency 416. Hz. If the length is doubled keeping other things same, the string will ______.


A sonometer wire supports a 4 kg load and vibrates in fundamental mode with a tuning fork of frequency 416. Hz. The length of the wire between the bridges is now doubled. In order to maintain fundamental mode, the load should be changed to


The displacement of the particle at x = 0 of a stretched string carrying a wave in the positive x-direction is given f(t) = A sin (t/T). The wave speed is  v. Write the wave equation.


A wave propagates on a string in the positive x-direction at a velocity \[\nu\] \[t =  t_0\] is given by \[g\left( x, t_0 \right) = A  \sin  \left( x/a \right)\]. Write the wave equation for a general time t.


A wave travels along the positive x-direction with a speed of 20 m s−1. The amplitude of the wave is 0⋅20 cm and the wavelength 2⋅0 cm. (a) Write the suitable wave equation which describes this wave. (b) What is the displacement and velocity of the particle at x= 2⋅0 cm at time = 0 according to the wave equation written? Can you get different values of this quantity if the wave equation is written in a different fashion?


A wave travelling on a string at a speed of 10 m s−1 causes each particle of the string to oscillate with a time period of 20 ms. (a) What is the wavelength of the wave? (b) If the displacement of a particle of 1⋅5 mm at a certain instant, what will be the displacement of a particle 10 cm away from it at the same instant?


A wire of length 2⋅00 m is stretched to a tension of 160 N. If the fundamental frequency of vibration is 100 Hz, find its linear mass density.


A 2⋅00 m-long rope, having a mass of 80 g, is fixed at one end and is tied to a light string at the other end. The tension in the string is 256 N. (a) Find the frequencies of the fundamental and the first two overtones. (b) Find the wavelength in the fundamental and the first two overtones.


An organ pipe of length 0.4 m is open at both ends. The speed of sound in the air is 340 m/s. The fundamental frequency is ______ 


A string 1 m long is fixed at one end. The other end is moved up and down with a frequency of 20 Hz. Due to this, a stationary wave with four complete loops gets produced on the string. Find the speed of the progressive wave which produces the stationary wave. 


Use the formula `v = sqrt((gamma P)/rho)` to explain why the speed of sound in air is independent of pressure.


A sound wave is passing through air column in the form of compression and rarefaction. In consecutive compressions and rarefactions ______.


Speed of sound waves in a fluid depends upon ______.

  1. directty on density of the medium.
  2. square of Bulk modulus of the medium.
  3. inversly on the square root of density.
  4. directly on the square root of bulk modulus of the medium.

Given below are some functions of x and t to represent the displacement of an elastic wave.

  1. y = 5 cos (4x) sin (20t)
  2. y = 4 sin (5x – t/2) + 3 cos (5x – t/2)
  3. y = 10 cos [(252 – 250) πt] cos [(252 + 250)πt]
  4. y = 100 cos (100πt + 0.5x)

State which of these represent

  1. a travelling wave along –x direction
  2. a stationary wave
  3. beats
  4. a travelling wave along +x direction.

Given reasons for your answers.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×