Class 11 Physics
Waves
The speed of a travelling wave
- To determine the speed of a travelling wave.
- The propagation of the wave always takes place along the +(ive) x-axis.
- It is denoted by v.
- Consider transverse wave moving along (+) ive x axis.
- Displacement equation y (x, t) = a sin (kx – ωt) assuming φ=0.
- In case of transverse wave the y denotes the movement of particles along y-axis.x denotes the direction of wave propagation in terms of x axis.
- y-axis denotes the displacement of the particles of the medium in case of transverse wave and in case of longitudinal wavex denotes the movement of the particles along x-axis.
- In case of longitudinal wave the motion of particles takes place along x-axis and not along y-axis.
- The form of equation remains the same for both transverse and longitudinal wave.
- Only the direction of propagation i.e. the direction of the movement of the particles differs in case of transverse and longitudinal waves.
- We have considered only the motion along the horizontal direction i.e. x-axis. i.e. motion of all the peaks and which is a motion of a straight line.
- Displacement takes place along the straight line along x-axis.
- y component does not play much role as it talks about the movement of particles of the medium.
- When we are considering the peaks as a result phase does not have any role. That is phase is constant.
- y/a=sin(kx – ωt) => sin-1 (y/a) = (kx- ωt )
- => x=(1/k)sin-1 (y/a) +ωt/k (where (1/k)sin-1 (y/a) is constant)
- => Speed V=dx/dt =ω/k
(By differentiating with time,(1/k)sin-1 (y/a) = 0 as differentiating a constant term is 0.)
- Therefore Wave Speed V= ω/kwhereω=angular frequency and k=wave number.
Different Expressions for Wave Speed
- Wave speed V= ω/k. By definition of ω= (2 π)/T where T is period of the wave.
- Also k=(2 π)/λ .Therefore v=(2 π)/(T)/(2 π)/(λ) =λ/T
- v= λv
- As wavelength of a wave increases as a result frequency of the wave decreases as a result speed of wave is constant.
- Wave speed is determined by the properties of the medium.
The plots of y (x, t) = a sin (kx – ωt + φ) at two instants oftime differing by an interval Δt, at t = 0 and then at t = Δt. As the wave moves tothe right at velocity v, the entire curve shifts a distance Δx during Δt. The point A ridesthe waveform but the string element moves only up and down.
Class 11 Physics Waves NCERT Chapter 14 Free Notes for Best Revision
Revision of Class 11 Physics Waves is a crucial aspect of effective learning. Revision plays a vital role in the learning process and is especially important before exams. Here are some key points you can consider emphasizing in your content:
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- Identifying Knowledge Gaps: Revision allows students to identify any gaps in their understanding or areas where they need further clarification. This gives you a chance to seek help or delve deeper into those topics. For detailed understanding, you can always refer to the videos of Waves Class 11 Physics NCERT Chapter 14 on LearnoHub.com
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- Spacing Effect: Spacing out revision sessions over time, rather than cramming all at once, has been shown to improve long-term retention. Create a revision schedule leading up to the exams to allow for spaced practice.
- Regular Revision over Cramming: Regular and consistent revision throughout the academic year is very important. Waiting until the last moment to cram everything can be overwhelming and less effective than spaced-out revision.
- Self-Assessment: Assess your understanding periodically through quizzes or self-tests. This helps you to gauge your progress and identify areas that need further attention. Refer Class 11 Waves Online Tests.
- Balanced Approach: Remind students to strike a balance between revision and other activities. Adequate rest, exercise, and relaxation are essential for optimal learning and performance.
- Seeking Help: If you face difficulties during the revision process, Refer the videos of Class 11 Physics Waves. Clearing doubts promptly is crucial for a better grasp of the subject matter. You can always ask your doubts on Waves Class 11 Physics NCERT Chapter 14. “Ask a Question” section of LearnoHub.com
By highlighting the benefits and strategies of effective revision, you can approach your studies more mindfully and achieve better results in your exams. Best of luck bachhon!
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Remember, studying with full concentration is a skill that takes time and practice to develop. If you find your mind wandering during study sessions, gently bring your focus back to the task at hand and be patient with yourself. With consistent effort, you can improve your ability to concentrate and make the most of your study time.
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