1. Wave Equation & Solutions Transverse Waves

2. Transverse wave on a string String Wave

4. Length of the curved element

5. Perpendicular force on the element

6. Equation of motion of small element Wave equation

7. General Solution

8. Therefore, (nothing but wave equation)

9. Physical significance of  =f(ct+x) wave moving to the left

10. For simple harmonic displacement of an oscillator

11. For a sinusoidal plane wave Therefore, : frequency of oscillation in time

14. C: wave velocity

15.  : period of oscillation

16. Different forms of solution of wave equations

17. Particle velocity :

18. Dispersion Relation A link between spatial and temporal oscillations For the wave equation Plane wave solution Oscillation frequency

19. For monochromatic wave in a non-dispersive medium Plot dispersion relation Slope (c)  phase velocity of the wave   = ck k More later

20. Wave equation General solution of wave equation

21. Solution of Plane wave of form  wavelength c : wave velocity a : amplitude

22. 1. LECTURE NOTES FOR PHYSICS I SASTRY AND SARASWAT 2. THE PHYSICS OF VIBRATIONS AND WAVES AUTHOR: H.J. PAIN IIT KGP Central Library Class no. 530.124 PAI/P