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(a) Explain the terms energy density and...

(a) Explain the terms energy density and intensity of wave.
(b) Show that the intensity of a wave is proportional to the square of the amplitude.

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Statement-1 : Two longitudinal waves given by equation y_(1)(x,t)=2asin(omegat-kx) and y_(2)(x,t)=a sin (2 omegat-2kx) will have equal intensity. Statement-2 : Intensity of waves of given frequency in same medium is proportional to square of amplitude only.

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Explain the following giving reasons : (i) When monochromatic light is incident on a surface separating two media, the reflected and refracted light both have the same frequency as the incident frequency. (ii) When ligjt travels from a rarer to a denser medium, the speed decreases. Does this decrease in speed imply a reduction in the energy carried by the wave ? (iii) In the wave picture of light, intensity of light is determined by the square of the amplitude of the wave. What determines the intensity in the photon picture of light ?