CBSE Class 12-science Answered
Please Prove the fact that intensity is directly proportional to amplitude of the wave...
Asked by nitishkrnehu09 | 09 Oct, 2017, 06:56: PM
Expert Answer
- Intensity is the power transferred per unit area, where the area is an imagined surface that is perpendicular to the direction of propagation of the energy The energy of a wave depends on its amplitude and frequency.
- Considering a mechanical wave,
a particle on a wave oscillates with simple harmonic motion,
its maximum velocity is given by
v=2π×frequency×amplitude
- The intensity of a wave is defined as the amount of energy that passes
though unit area perpendicular to the wave direction in unit time.
- If the amplitude is doubled the maximum velocity is doubled.
- The kinetic energy = 
×mass×velocity2
×mass×velocity2- Thus on doubling the velocity you quadruple the kinetic energy,
that further quadrupling the intensity of the wave.
Answered by Abhijeet Mishra | 10 Oct, 2017, 06:23: PM
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