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In air, a sound wave with a frequency of 196 Hz has a wavelength of about 1.76 meters. What is the wavelength of a wave of the frequency is increased to 784 Hz?

0.44 meters

0.57 meters

0.88 meters

1.76 meters




Also if anyone has the whole test PLEASE help me out!!!


Sagot :

I think the correct answer is B

The wavelength of a wave of the frequency is increased to 784 Hz will be 0.57 metre.

What is wavelength ?

The distance between two successive troughs or crests is known as the wavelength. The peak of the wave is the highest point, while the trough is the lowest.

The given data in the problem is;

f₁ is the  frequency of  a sound wave in case 1 = 196 Hz

[tex]\lambda[/tex]₁ is the wavelength for the  = 1.76 meters.

f₂ is the  frequency of  a sound wave in case 2 = 784 Hz

[tex]\lambda_2[/tex] is the wavelength for case 2=?

The speed of the wave for the same medium is same which is given as;

[tex]\rm v = \lambda_1 f_1 \\\\ \rm v = 1.76 \times 196 \\\\ \rm v =344.96\ m/sec[/tex]

For case 2;

[tex]\lambda_2 = \frac{v}{f_2} \\\\ \lambda_2 = \frac{344.96}{784} \\\\ \lambda_2=0.44[/tex]

Hence the wavelength of a wave of the frequency is increased to 784 Hz will be 0.57 metre.

To learn more about the wavelength refer to the link;

brainly.com/question/7143261