The frequency of wave A is 250 hertz and the wavelength is 30 centimeters. The frequency of wave B is
260 hertz and the wavelength is 25 centimeters. Which is the faster wave?



Answer :

Use the equation v=fλ
Wave A
250×30×10^-2=75 m/s
Wave B
260×25×10^-2=65 m/s

Therefore
Wave A is faster

Wave A will be faster than the wave B because  [tex]V_A > V_B[/tex]

What is the frequency of the wave?

The frequency of the wave is defined as the cycle completed by the wave per second.

Now it is given in the question:

Frequency of wave A = 250 hertz

The wavelength of wave A= 30 cm

Frequency of wave B = 260 hertz

The wavelength of wave B= 25 cm

Now for finding which wave is faster we will calculate the velocity of the wave.

For Wave A

[tex]V_A=f\times\lambda=250\times 30=7500\ \frac{cm}{s}[/tex]

For wave B

[tex]V_B=f\times\lambda=260\times 25=6500\ \frac{cm}{s}[/tex]

We can see that the velocity of wave A is higher than the velocity of wave B.

Thus wave A will be faster than the wave B because  [tex]V_A > V_B[/tex]

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