Question

Calculate the wavelength in the following substances if the frequency is 1000 s-1and the speed of sound in the medium is given:A. Lead (1230 m/s)B. Hydrogen (1267 m/s)C. Water (5250 km/h)D. Air (1234 km/h)

Answer 1

For each case, we will use the next formula

`\lambda=(v)/(f)`

where λ is the wavelength, v is the wave speed and f is the frequency

in this case

f=1000s^-1

A.

Lead

v=1230 m/s

we susbtitute

`\lambda=(1230)/(1000)=1.23m`

B. Hydrogen

v=1267 m/s

`\lambda=(1267)/(1000)=1.267m`

C. Water

v=5250 km/h

In this case we need to change the km/hr to m/s

that can be done by dividing km/hr between 3.6

v=1458.33 m/s

Then we substitute

`\lambda=(1458.33)/(1000)=1.458m`

D. Air

v=1234 km/h

we need to convert km/h

v=342.8m/s

`\lambda=(342.8)/(1000)=0.3428m`

ANSWER

A.1.23 m

B.1.267 m

C.1.458 m

D.0.3428 m