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# The amplitude of two waves are in the ratio 5:2. if all other conditions for the two waves are same, then what is the ratio of their energy densities? (a) 5 : 2 (b) 10 : 4 (c) 2.5 : 4 (d) 25 :4

Arun
25763 Points
one year ago

As we learnt in

Intensity of the wave -

$I = \frac{1}{2}\rho \omega ^{2}A^{2}V$

$\rho =$ mass density

$\omega =$ angular frequency

$A =$ Amplitude

$V =$ Wave speed

- wherein

flow of energy per unit area of cross section of the string in the unit time is known as intensity of wave.

Energy density  $\propto \:A^{2}$

$\Rightarrow \:\frac{E_{1}}{E_{2}}=(\frac{A_{1}}{A_{2}})^{2}=(\frac{5}{2})^{2}=25:4$

Vikas TU
14149 Points
one year ago

As sound wave travel through air, the element of air vibrate to produce change in density and pressure along the direction of motion of the wave.

- wherein

sound wave travel through any material medium with a speed that depend on the properties of medium.