Question

1. What is the wave speed of a wave that has a frequency of 100 Hz and a wavelength of 0.30 m?

Answer 1

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

Answer 2

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,

$\text{Wave speed}=\lambda\times \nu$

where,

$\lambda$ = wavelength of the wave

$\nu$ = frequency of the wave

• For 1:

We are given:

$\lambda =0.30m\\\\\nu=100Hz$

Putting values in above equation, we get:

$\text{Wave speed}=0.30\times 100=30m/s$

Hence, the wave speed of the wave is 30 m/s

• For 2:

We are given:

$\lambda =0.10m\\\\\nu=50Hz$

Putting values in above equation, we get:

$\text{Wave speed}=0.10\times 50=5m/s$

Hence, the wave speed of the wave is 5 m/s

• For 3:

We are given:

$\lambda =0.50m\\\\\text{Wave speed}=20m/s$

Putting values in above equation, we get:

$20/s=0.50m\times \nu\\\\\nu=\frac{20}{0.50}=40s^{-1}$

Hence, the frequency of the wave is 40 Hz

• For 4:

We are given:

$\lambda =0.20m\\\\\text{Wave speed}=80m/s$

Putting values in above equation, we get:

$80/s=0.20m\times \nu\\\\\nu=\frac{80}{0.20}=400s^{-1}$

Hence, the frequency of the wave is 400 Hz

• For 5:

We are given:

$\lambda =0.40m\\\\\text{Wave speed}=120m/s$

Putting values in above equation, we get:

$80/s=0.20m\times \nu\\\\\nu=\frac{120}{0.40}=300s^{-1}$

Hence, the frequency of the wave is 300 Hz

• For 6:

We are given:

$\nu =440Hz\\\\\text{Wave speed}=340m/s$

Putting values in above equation, we get:

$340/s=\lambda\times 440\\\\\lambda=\frac{340}{440}=0.773m$

Hence, the wavelength of the wave is 0.773 m

• For 7:

We are given:

$\nu =880Hz\\\\\text{Wave speed}=340m/s$

Putting values in above equation, we get:

$340/s=\lambda\times 880\\\\\lambda=\frac{340}{880}=0.386m$

Hence, the wavelength of the wave is 0.386 m

• For 8:

We are given:

$\nu =400Hz\\\\\text{Wave speed}=250m/s$

Putting values in above equation, we get:

$250/s=\lambda\times 400\\\\\lambda=\frac{250}{400}=0.625m$

Hence, the wavelength of the wave is 0.625 m

• For 9:

We are given:

$\lambda =2.0m\\\\\nu=50Hz$

Putting values in above equation, we get:

$\text{Wave speed}=2.0\times 50=100m/s$

Hence, the wave speed of the wave is 100 m/s

• For 10:

We are given:

$\lambda =0.50m\\\\\nu=100Hz$

Putting values in above equation, we get:

$\text{Wave speed}=0.50\times 100=50m/s$

Hence, the wave speed of the wave is 50 m/s