JEE Exam  >  JEE Notes  >  Physics for JEE Main & Advanced  >  Speed of a Travelling Wave & Equation of Progressive Wave

Speed of a Travelling Wave & Equation of Progressive Wave | Physics for JEE Main & Advanced PDF Download

Speed of Transverse Motion

On a stretched string v = √(T/m)

where, T = tension in the string and m = mass per unit length of the string.

Speed of transverse wave in a solid v = √(η/ρ)

where, η is modulus of rigidity and ρ is density of solid.

Plane Progressive Simple Harmonic Wave

Equation of a plane progressive simple harmonic wave

Speed of a Travelling Wave & Equation of Progressive Wave | Physics for JEE Main & Advanced
or  Speed of a Travelling Wave & Equation of Progressive Wave | Physics for JEE Main & Advanced 

where,

  • y = displacement,
  • a = amplitude of vibration
  • λ = wavelength of wave, of particle,
  • T = time period of wave,
  • x = distance of particle from the origin and
  • u = velocity of wave.

 Important Relation Related to Equation of Progressive Wave

Speed of a Travelling Wave & Equation of Progressive Wave | Physics for JEE Main & Advanced
where.  Speed of a Travelling Wave & Equation of Progressive Wave | Physics for JEE Main & Advanced ts culled propagation constant of wave motion.
Wavelength,  Speed of a Travelling Wave & Equation of Progressive Wave | Physics for JEE Main & Advanced
Time period.  Speed of a Travelling Wave & Equation of Progressive Wave | Physics for JEE Main & Advanced
Frequency, Speed of a Travelling Wave & Equation of Progressive Wave | Physics for JEE Main & Advanced

Phase of the vibration is the angle of sine m equation, to plan progressive wave. It is denoted by φ.

Speed of a Travelling Wave & Equation of Progressive Wave | Physics for JEE Main & Advanced 

Relation between phase difference and path difference and time difference

Speed of a Travelling Wave & Equation of Progressive Wave | Physics for JEE Main & Advanced

The document Speed of a Travelling Wave & Equation of Progressive Wave | Physics for JEE Main & Advanced is a part of the JEE Course Physics for JEE Main & Advanced.
All you need of JEE at this link: JEE
289 videos|635 docs|179 tests

Top Courses for JEE

FAQs on Speed of a Travelling Wave & Equation of Progressive Wave - Physics for JEE Main & Advanced

1. What is the speed of a traveling wave?
Ans. The speed of a traveling wave is the rate at which the wave propagates through a medium. It is determined by the frequency and wavelength of the wave, and it can be calculated by multiplying the frequency with the wavelength.
2. How can the speed of a traveling wave be calculated?
Ans. The speed of a traveling wave can be calculated by multiplying the frequency of the wave with its wavelength. The formula to calculate the speed of a wave is: speed = frequency x wavelength.
3. What is the equation of a progressive wave?
Ans. The equation of a progressive wave describes the relationship between the displacement of the wave and its position. It is typically represented by the equation: y = A sin(kx - ωt), where y represents the displacement, A is the amplitude, k is the wave number, x is the position, ω is the angular frequency, and t is the time.
4. How can the speed of a wave be determined from its equation?
Ans. The speed of a wave can be determined from its equation by comparing the coefficients of x and t. The coefficient of x represents the wave number (k), while the coefficient of t represents the angular frequency (ω). The speed of the wave can then be calculated by dividing the angular frequency by the wave number.
5. What factors affect the speed of a traveling wave?
Ans. The speed of a traveling wave is influenced by two main factors: the frequency and the wavelength of the wave. As the frequency increases, the speed of the wave also increases. Similarly, as the wavelength increases, the speed of the wave decreases.
289 videos|635 docs|179 tests
Download as PDF
Explore Courses for JEE exam

Top Courses for JEE

Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Related Searches

MCQs

,

past year papers

,

Semester Notes

,

Viva Questions

,

Speed of a Travelling Wave & Equation of Progressive Wave | Physics for JEE Main & Advanced

,

Summary

,

mock tests for examination

,

shortcuts and tricks

,

study material

,

Important questions

,

Free

,

ppt

,

Objective type Questions

,

Previous Year Questions with Solutions

,

Speed of a Travelling Wave & Equation of Progressive Wave | Physics for JEE Main & Advanced

,

Exam

,

Extra Questions

,

Sample Paper

,

Speed of a Travelling Wave & Equation of Progressive Wave | Physics for JEE Main & Advanced

,

practice quizzes

,

video lectures

,

pdf

;