Question 14.
Given:
• Frequency, f = 78.0 kHz.
,
• Wavelength, λ = 0.333 m
,
• Speed of sound in air = 344 m/s
Let's find the wave speed and how much faster is the speed than the speed of sound in air.
To find the wave speed, apply the formula:
[tex]\lambda=\frac{v}{f}[/tex]
Where:
• v is the wave speed in m/s.
,
• f is the frequency in Hz.
,
• λ is the wavelength in meters (m).
Rewrite the formula for v and solve.
We have:
[tex]\begin{gathered} v=\lambda *f \\ \\ v=0.333*78\times10^3 \\ \\ v=25974\text{ m/s} \end{gathered}[/tex]
Therefore, the speed of sound in solid is 25974 m/s.
Now, to find how much faster it is, we have:
[tex]\frac{speed\text{ of sound in solid}}{speed\text{ of sound in air}}=\frac{25974\text{ m/s}}{344\text{ m/s}}=75.5[/tex]
Therefore, it is 75.5 times faster than the speed of sound in air.
ANSWER:
• Speed of sound in solid: , 25974 m/s.
• 75.5, times faster than the speed of sound in air
