[tex]\quad \quad\quad \rm \huge \color{black}\underline{ \blue{Sound \: Wave}}[/tex]

1. What is the frequency of a

sound with a speed of 349 m/s

and a wavelength of0.5 m?

[tex]\quad\tt \large\color{orange}➛Given[/tex]

• V = 349m/s
• F = ?
• λ = 0.5m

[tex]\quad\tt\large \color{orange}➛Solution[/tex]

[tex]\tt F = \frac{v}{λ}[/tex]

[tex]\tt F = \frac{ 349m/s}{0.5m}[/tex]

[tex]\boxed {\tt \red {= 698Hz}}[/tex]

2. Find the speed of sound in air when the temperature of the day is 27°C.

[tex]\quad\tt \large\color{orange}➛Given[/tex]

• V = ?
• T = 27°C

[tex]\quad\tt\large \color{orange}➛Solution[/tex]

[tex]\tt V = \:331.5m/s \:+\: 0.6T[/tex]

[tex]\tt V = \:331.5m/s \:+\:( 0.6 × 27°C)[/tex]

[tex]\boxed {\tt \red {= 347.7m/s}}[/tex]

3. Suppose a sound wave with a wavelength of 1 m has a frequency of 3 Hz. What is the speed of the wave?

[tex]\quad\tt\large \color{orange}➛Given[/tex]

• f = 3 Hz
• v = ?
• λ = 1 m

[tex]\quad\tt \large \color{orange}➛Solution[/tex]

[tex]\tt V = \frac{λ}{f}[/tex]

[tex]\tt V = \frac {1m}{3Hz}[/tex]

[tex]\boxed {\tt \red {= 3m/s}}[/tex]

To compute the speed of sound we used this equation :

[tex] \quad \quad \quad\tt v = λf [/tex]

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

The speed of sound depends on the temperature as

• v = 331.5 + 0.6T

where v is the velocity and T is the temperature

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