Respuesta :
1. 30 Hz
2. 5 Hz
3. 40 m/s
4. 400 m/s
5. .48 m/s
6. .77 m/s
7. .39 m/s
8. .625 m/s
9. 100 Hz
10. 50 Hz
2. 5 Hz
3. 40 m/s
4. 400 m/s
5. .48 m/s
6. .77 m/s
7. .39 m/s
8. .625 m/s
9. 100 Hz
10. 50 Hz
Answer:
For 1: The wave speed of the wave is 30 m/s
For 2: The wave speed of the wave is 5 m/s
For 3: The frequency of the wave is 40 Hz
For 4: The frequency of the wave is 400 Hz
For 5: The frequency of the wave is 300 Hz
For 6: The wavelength of the wave is 0.773 m
For 7: The wavelength of the wave is 0.386 m
For 8: The wavelength of the wave is 0.625 m
For 9: The wave speed of the wave is 100 m/s
For 10: The wave speed of the wave is 50 m/s
Step-by-step explanation:
Wave speed is defined as the product of its wavelength and frequency.
Mathematically,
[tex]\text{Wave speed}=\lambda\times \nu[/tex]
where,
[tex]\lambda [/tex] = wavelength of the wave
[tex]\nu [/tex] = frequency of the wave
- For 1:
We are given:
[tex]\lambda =0.30m\\\\\nu=100Hz[/tex]
Putting values in above equation, we get:
[tex]\text{Wave speed}=0.30\times 100=30m/s[/tex]
Hence, the wave speed of the wave is 30 m/s
- For 2:
We are given:
[tex]\lambda =0.10m\\\\\nu=50Hz[/tex]
Putting values in above equation, we get:
[tex]\text{Wave speed}=0.10\times 50=5m/s[/tex]
Hence, the wave speed of the wave is 5 m/s
- For 3:
We are given:
[tex]\lambda =0.50m\\\\\text{Wave speed}=20m/s[/tex]
Putting values in above equation, we get:
[tex]20/s=0.50m\times \nu\\\\\nu=\frac{20}{0.50}=40s^{-1}[/tex]
Hence, the frequency of the wave is 40 Hz
- For 4:
We are given:
[tex]\lambda =0.20m\\\\\text{Wave speed}=80m/s[/tex]
Putting values in above equation, we get:
[tex]80/s=0.20m\times \nu\\\\\nu=\frac{80}{0.20}=400s^{-1}[/tex]
Hence, the frequency of the wave is 400 Hz
- For 5:
We are given:
[tex]\lambda =0.40m\\\\\text{Wave speed}=120m/s[/tex]
Putting values in above equation, we get:
[tex]80/s=0.20m\times \nu\\\\\nu=\frac{120}{0.40}=300s^{-1}[/tex]
Hence, the frequency of the wave is 300 Hz
- For 6:
We are given:
[tex]\nu =440Hz\\\\\text{Wave speed}=340m/s[/tex]
Putting values in above equation, we get:
[tex]340/s=\lambda\times 440\\\\\lambda=\frac{340}{440}=0.773m[/tex]
Hence, the wavelength of the wave is 0.773 m
- For 7:
We are given:
[tex]\nu =880Hz\\\\\text{Wave speed}=340m/s[/tex]
Putting values in above equation, we get:
[tex]340/s=\lambda\times 880\\\\\lambda=\frac{340}{880}=0.386m[/tex]
Hence, the wavelength of the wave is 0.386 m
- For 8:
We are given:
[tex]\nu =400Hz\\\\\text{Wave speed}=250m/s[/tex]
Putting values in above equation, we get:
[tex]250/s=\lambda\times 400\\\\\lambda=\frac{250}{400}=0.625m[/tex]
Hence, the wavelength of the wave is 0.625 m
- For 9:
We are given:
[tex]\lambda =2.0m\\\\\nu=50Hz[/tex]
Putting values in above equation, we get:
[tex]\text{Wave speed}=2.0\times 50=100m/s[/tex]
Hence, the wave speed of the wave is 100 m/s
- For 10:
We are given:
[tex]\lambda =0.50m\\\\\nu=100Hz[/tex]
Putting values in above equation, we get:
[tex]\text{Wave speed}=0.50\times 100=50m/s[/tex]
Hence, the wave speed of the wave is 50 m/s
