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  • Please,please help me 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?

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?

  • Option 1)

    5 : 2

  • Option 2)

    10 : 4

  • Option 3)

    2.5 : 4

  • Option 4)

    25 :4

 

Answers (1)

best_answer

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

 


Option 1)

5 : 2

This option is incorrect.

Option 2)

10 : 4

This option is incorrect.

Option 3)

2.5 : 4

This option is incorrect.

Option 4)

25 :4

This option is correct.

Posted by

prateek

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