Question

a body vibrates 60000 times in 2 mins .if the velocity of sound in air is 340 m/s . find the wavelength produced.​

Answer 1

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Answer 2

Answer:

Here, Frequency is not given $<font color= red>$

So, we have to find Frequency first.

$<font color=</strong><strong>blue</strong><strong>>$

✳ Given$<font color=</strong><strong>black</strong><strong>>$

Number of vibrations =6000

Time taken = 1 min = 60 s

$<font color= </strong><strong>black</strong><strong>>$

✏We know that

Frequency = Number of vibrations / Time taken

⠀⠀⠀⠀⠀⠀∴ 6000/ 60 = 100 Hz

So, Frequency = 100Hz

And velocity = 360 m/s ($<font color= </strong><strong>green</strong><strong>>$ given$<font color=</strong><strong>black</strong><strong>>$ )

✏We know that

Velocity = Frequency x Wavelength ($<font color= </strong><strong>green</strong><strong>>$ formula$<font color= </strong><strong>black</strong><strong>>$ )

∴ Wavelength = velocity / Frequency

$<font color= </strong><strong>blue</strong><strong>>$

✳Given;

Velocity =360 m/s

Frequency =100Hz

$<font color= </strong><strong>orange</strong><strong>>$

Then putting the value in formula we get;$<font color= </strong><strong>black</strong><strong>>$

Wavelength = 360 / 100

⠀⠀⠀⠀⠀⠀⠀ ➨ 3.6 m