Home
Class 11
PHYSICS
Three one-dimensional mechanical waves i...

Three one-dimensional mechanical waves in an elastic medium is given as
`y_1 = 3A sin (omegat - kx), y_2 = A sin (omegat - kx + pi) and y_3 = 2A sin (omegat + kx)`
are superimposed with each other. The maximum displacement amplitude of the medium particle would be

A

4A

B

3A

C

2A

D

A

Text Solution

Verified by Experts

The correct Answer is:
A
`y_1 +y_2 = 2A sin (omegat -kx) = y_4`
Now, `y_4` and `y_3` produce standing waves where,
`A_(max) = 2` (Amplitude of constituent wave)
`=2(2A) = 4A` .
Promotional Banner

Topper's Solved these Questions

  • SUPERPOSITION OF WAVES

    DC PANDEY|Exercise Level 2 More Than One Correct|6 Videos

  • SUPERPOSITION OF WAVES

    DC PANDEY|Exercise More than One correct Options|1 Videos

  • SUPERPOSITION OF WAVES

    DC PANDEY|Exercise Subjective Questions|6 Videos

  • SOUND WAVES

    DC PANDEY|Exercise Exercise 19.7|4 Videos

  • THERMOMETRY THERMAL EXPANSION AND KINETIC THEORY OF GASES

    DC PANDEY|Exercise Medical entrance gallary|30 Videos

Similar Questions

Explore conceptually related problems

two waves y_1 = 10sin(omegat - Kx) m and y_2 = 5sin(omegat - Kx + π/3) m are superimposed. the amplitude of resultant wave is

Assertion: Two waves y_1 = A sin (omegat - kx) and y_2 = A cos(omegat-kx) are superimposed, then x=0 becomes a node. Reason: At node net displacement due to waves should be zero.

Two waves of equation y_(1)=acos(omegat+kx) and y_(2)=acos(omegat-kx) are superimposed upon each other. They will produce

Four simple harmonic vibrations x_(1) = 8s "in" (omegat), x_(2) = 6 sin (omegat +(pi)/(2)) , x_(3) = 4 sin (omegat +pi) and x_(4) =2 sin (omegat +(3pi)/(2)) are superimposed on each other. The resulting amplitude is……units.

Wave equations of two particles are given by y_(1)=a sin (omega t -kx), y_(2)=a sin (kx + omega t) , then

Two waves are given as y_1=3A cos (omegat-kx) and y_2=A cos (3omegat-3kx) . Amplitude of resultant wave will be ____

Which of the following equations can form stationary waves? (i) y= A sin (omegat - kx) (ii) y= A cos (omegat - kx) (iii) y= A sin (omegat + kx) (iv) y= A cos (omegat - kx) .

A electromagnetic wave going through a medium is given by E = E_(0)sin (kx – omegat) and B = B_(0) sin (kx – omegat) then