A copper rod of length 1.0 m is clamped at its middle point. Find the frequencies between 20 Hz and 20,000 Hz at which standing longitudinal waves can be set up the rod. The speed of sound in copper is $3.8 k m s^{- 1}$ .

Open in App

Solution

Length of the wire =1.0 m

For fundamental frequency

$\frac{λ}{2} = I$

$\Rightarrow λ = 2 I = 2 \times 1 = 2 m$

Here given n =3.8 km/s =3800 m/s

We know, $v = n λ$

$\Rightarrow n = \frac{3800}{2} = 1.9 k H$

So standing frequency between 20 Hz and 20 kHz which will be heard are

$= n \times 1.9 k H z$

where n=0,1,2,3,....10.

Suggest Corrections

Similar questions

A copper rod of length 1.0 m is clamped at its middle point. Find the frequencies between 20 Hz and 20,000 Hz at which standing longitudinal waves can be set up in the rod. The speed of sound in copper is $3.8 k m s^{- 1}$

Q. A metallic rod of length 2.0 m is rigidly clamped at its middle point. A longitudinal wave is set up in the rod in such a way that there will be 3 nodes on either side of the clamped point. Then the wavelength of the longitudinal wave so produced is

Q. A steel rod of 100 cm is clamped at its middle. The fundamental frequency of longitudinal vibration of the rod is

2.53 k H z

. The speed of sound in the rod is ____

m s^{- 1}

Q. A Kundt's tube apparatus has a copper rod of length 1.0 m clamped at 25 cm from one of the ends. The tube contains air in which the speed of sound is 340 m s⁻¹. The powder collects in heaps separated by a distance of 5.0 cm. Find the speed of sound waves in copper.

Join BYJU'S Learning Program

A copper rod of length 1.0 m is clamped at its middle point. Find the frequencies between 20 Hz and 20,000 Hz at which standing longitudinal waves can be set up the rod. The speed of sound in copper is 3.8kms−1.

Length of the wire =1.0 m For fundamental frequency λ2=I ⇒λ=2I=2×1=2m Here given n =3.8 km/s =3800 m/s We know, v=nλ ⇒n=38002=1.9kH So standing frequency between 20 Hz and 20 kHz which will be heard are =n×1.9kHz where n=0,1,2,3,....10.

A copper rod of length 1.0 m is clamped at its middle point. Find the frequencies between 20 Hz and 20,000 Hz at which standing longitudinal waves can be set up the rod. The speed of sound in copper is $3.8 k m s^{- 1}$ .