Home
Class 12
PHYSICS
In the figure shown a sinusoidal wave is...

In the figure shown a sinusoidal wave is generated at the end `'A'`. The wave travels along positive `x-`axis and during its motions it encounter another string `BC` at the junction `'B'` at `x = 0`. The density of strings `AB` and `BC` and `rho` and `9rho` respectively and their radii of cross sections are `2r` and `r`. The wave funcation. amplitude and wavelength of incident wavs are respectively `y_(r), A_(r), lambda_(r)` and `y_(t), A_(t), lambda_(t)` repectively

The ratio of amplitudes `A_(r)` to `A_(t)` is (i.e. A_(r) : A_(t)`) will be

A

`1 : 1`

B

`3 : 2`

C

`2 : 3`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Medium of string `BC` is denser. These will be `pi` phase difference between reflected and transmitted wave.
`(lambda_(r))/(lambda_(t)) = (v_(1))/(v_(2)) = sqrt((mu_(2))/(mu_(1)))`
Now `(mu_(1))/(mu_(2)) = (4)/(9)` so `(lambda_(r))/(lambda_(t)) = (3)/(2)`
`(A_(r))/(A_(t)) = ((v_(2)-v_(1))/(v_(1)+v_(2))Ai)/((2v_(2))/(v_(1)+v_(2)).Ai)=(v_(2)-v_(1))/(2v_(2))=(1)/(4)`
Promotional Banner

Topper's Solved these Questions

  • TRAVELLING WAVES

    RESONANCE ENGLISH|Exercise Exercise- 3 PART II|7 Videos

  • TRAVELLING WAVES

    RESONANCE ENGLISH|Exercise Exercise- 3 PART I|19 Videos

  • TRAVELLING WAVES

    RESONANCE ENGLISH|Exercise Exercise- 2 PART III|15 Videos

  • TEST SERIES

    RESONANCE ENGLISH|Exercise PHYSICS|130 Videos

  • WAVE ON STRING

    RESONANCE ENGLISH|Exercise Exercise- 3 PART II|7 Videos

Similar Questions

Explore conceptually related problems

In the figure shown a sinusoidal wave is generated at the end 'A' . The wave travels along positive x- axis and during its motions it encounter another string BC at the junction 'B' at x = 0 . The density of strings AB and BC and rho and 9rho respectively and their radii of cross sections are 2r and r . The wave funcation. amplitude and wavelength of incident wavs are respectively y_(r), A_(r), lambda_(r) and y_(t), A_(t), lambda_(t) repectively The ratio of wavelengths lambda_(r) to lambda_(t) (i.e. lambda_(r) : lambda_(t) ) will be

In the figure shown a sinusoidal wave is generated at the end 'A' . The wave travels along positive x- axis and during its motions it encounter another string BC at the junction 'B' at x = 0 . The density of strings AB and BC and rho and 9rho respectively and their radii of cross sections are 2r and r . The wave funcation. amplitude and wavelength of incident wavs are respectively y_(r), A_(r), lambda_(r) and y_(t), A_(t), lambda_(t) repectively Which of the following statement regarding phase difference, Deltaphi between waves at x = 0 is true ?

In the figure shown a sinusoidal wave is generated at the end A the wave travels along positive x-axis and during its motion it encounter another string BD at the junction 'B' at x=0. The density of string AB and BC are rho "and" 9rho respectively and their radii of cross sections are 2r"and"r. The wave function amplitude and wavelength of incident wave are respectively "y"_(p) A_(i)"and"lambda_(r) Similarly for reflected and transmitted wave these peremeters are "y"_(r),A_(r),lambda_(r)"and"y_(i),A_(i),lambda_(i) The ratio of amplitudes A_(r) "to" A_(r) "is"(i.e.A_(r):A_(t)) will be

In the figure shown a sinusoidal wave is generated at the end A the wave travels along positive x-axis and during its motion it encounter another string BD at the junction 'B' at x=0. The density of string AB and BC are rho "and" 9rho respectively and their radii of cross sections are 2r"and"r. The wave function amplitude and wavelength of incident wave are respectively "y"_(i) A_(i)"and"lambda_(i) Similarly for reflected and transmitted wave these peremeters are "y"_(r),A_(r),lambda_(r)"and"y_(t),A_(t),lambda_(t) The ratio of wavelengths lambda_(r) "to" lambda_(i) (i.e.lambda_(r):lambda_(t)) will be

In the figure shown a sinusoidal wave is generated at the end A the wave travels along positive x-axis and during its motion it encounter another string BD at the junction 'B' at x=0. The density of string AB and BC are rho "and" 9rho respectively and their radii of cross sections are 2r"and"r. The wave function amplitude and wavelength of incident wave are respectively "y"_(p) A_(i)"and"lambda_(r) Similarly for reflected and transmitted wave these peremeters are "y"_(r),A_(r),lambda_(r)"and"y_(i),A_(i),lambda_(i) Which of the following statement regarding phase difference Deltaphi between waves at x=0 is true?

The equation of a wave travelling along the positive x-axis, as shown in figure at t = 0 is given by

the equation of a wave travelling along the positive x - axis ,as shown in figure at t = 0 is given by

Snapshot of a string carrying a progressive wave is shown in figure at time t = 0. The wave moves along positive x - axis:

Figure given shows a sinusoidal wave on a string. If the frequency of the wave is 150 Hz, what is the velocity and wavelength of the given wave?

The sketch in the figure shows displacement time curve of a sinusoidal wave at x = 8m . Taking velocity of wave v = 6m//s along positive x- axis, write the equation the wave.