Answer:
1. v = 30 m/s
2. v = 5 m/s
3. f = 40 Hz
4. f = 400 Hz
5. f = 300 Hz
6. λ = 0.772 m
7. λ = 0.386 m
8. λ = 0.625 m
9. v = 100 m/s
10. v = 50 m/s
Explanation:
The relationship between frequency, wavelength, and speed of a wave is given by the following formula:
[tex]v = f\lambda[/tex]
where,
v = speed of wave
f = frequency of wave
λ = wavelength
1.
f = 100 Hz
λ = 0.3 m
Therefore,
v = (100 Hz)(0.3 m)
v = 30 m/s
2.
f = 50 Hz
λ = 0.1 m
v = (50 Hz)(0.1 m)
v = 5 m/s
3.
v = 20 m/s
λ = 0.5 m
[tex]f = \frac{v}{\lambda} = \frac{20\ m/s}{0.5\ m}[/tex]
f = 40 Hz
4.
v = 80 m/s
λ = 0.2 m
[tex]f = \frac{v}{\lambda}=\frac{80\ m/s}{0.2\ m}[/tex]
f = 400 Hz
5.
v = 120 m/s
λ = 0.4 m
[tex]f = \frac{v}{\lambda}=\frac{120\ m/s}{0.4\ m}[/tex]
f = 300 Hz
6.
v = 340 m/s
f = 440 Hz
[tex]\lambda = \frac{v}{f}=\frac{340\ m/s}{440\ Hz}\\[/tex]
λ = 0.772 m
7.
v = 340 m/s
f = 880 Hz
[tex]\lambda = \frac{v}{f}=\frac{340\ m/s}{880\ Hz}\\[/tex]
λ = 0.386 m
8.
v = 250 m/s
f = 400 Hz
[tex]\lambda = \frac{v}{f}=\frac{250\ m/s}{400\ Hz}\\[/tex]
λ = 0.625 m
9.
f = 50 Hz
λ = 2 m
v = (50 Hz)(2 m)
v = 100 m/s
10.
f = 100 Hz
λ = 0.5 m
v = (100 Hz)(0.5 m)
v = 50 m/s
