Question

Find the wavelength of a sound moving in air at 43.2 m/s and that has a frequency of

2.11 hz.

a. 20.47
b. 91.152
c. 0.0488
d. 177.35

please help!!

Answer 1

• a.) 20.47 m

Step-by-step explanation:

Here we are given sound moving in air at 43.2 m/s and that has a frequency of 2.11 hz and we need o calculate the Wavelength.

Using formula:

`\\ \: \: \longrightarrow \: \: \:{ \underline{ \boxed{ \sf Frequency = (Wave \: speed)/(Wave \: length)}}} \\`

Where,

• Frequency = 2.11 Hz
• Wave speed = 43.2 m/s

On Substituting the values, we get:

`\\ \sf \: \: \: \longrightarrow \: \: \: 2.11 = (43.2)/(Wave \: Length) \\ \\ \\ \sf \: \: \: \longrightarrow \: \: \:Wave\: Length = (43.2)/(2.11) \\ \\ \\ \sf \: \: \: \longrightarrow \: \: \:{ \pink{ \underline{Wave \:Length = 20.47 m}} }\\ \\`

Hence,

• Wavelength of a sound moving in air is 20.47 m

Answer 2

Given:

• v= 43.2 m/s
• f= 2.11 Hz
• λ= ?

Note that:

• v: velocity
• f: frequency
• λ: wavelength

To find:

• The wavelength of a sound moving in air at 43.2 m/s and that has a frequency of 2.11 Hertz.

Solution:

• The wave length of sound is the distance between identical parts of the wave.

`\large\boxed{\bold{Formula: λ= (v)/(f)}}`

In this question all the values are given so we'll simply have to substitute the values and solve.

Let's solve!

We'll have to divide the velocity or speed by the frequency.

Substitute the values according to the formula.

`λ= (43.2)/(2.11)`

Calculator answer:

`\bold{λ= 20.47393365 \: m}`

Now, we can round off to the nearest hundredth.

The value in the thousandths place is smaller than 5 so we won't have to round up.

Final answer:

`\large\boxed{\bold{λ= 20.47 \:m}}`

Therefore, the wavelength is 20.47 meter.

Answer: Option A