Q. 5 Rank in order, from largest to s... [FREE SOLUTION]

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Chapter 16: Q. 5 (page 450)

Rank in order, from largest to smallest, the wavelengths $位_{a}, 位_{b} a n d 位_{c}$ for sound waves having frequencies $f_{a} = 100 H z, f_{b} = 1000 H z, a n d f_{c} = 10, 000 H z$ . Explain.

Short Answer

Expert verified

The largest wavelength is $位_{a}$ and the smallest wavelength is $位_{c}$ .

$位_{a} > 位_{b} > 位_{c}$

Step by step solution

Step 1. Write the given information.

The wavelengths of the sound wave are given by $位_{a}, 位_{b} a n d 位_{c}$
The frequency of waves is role="math" localid="1648816875381" $f_{a} = 100 H z, f_{b} = 1000 H z, a n d f_{c} = 10, 000 H z$
respectively.

The speed of the wave is given by the formula $位 f = c$
Here, c is the speed of light (3x10⁸m/s²) which is constant.

Step 2. To determine the wavelengths of the given wave

When the frequency of the wave is $f_{a} = 100 H z$

The wavelength is determined by $位_{a} f_{a} = c$
$鈬� 位_{a} = \frac{c}{f_{a}} = \frac{3 脳 10^{8}}{100} = 3 脳 10^{6} m$

Similarly, for frequency $f_{b} = 1000 H z$

The wavelength is given as;

$位_{b} = \frac{c}{f_{b}} = \frac{3 脳 10^{8}}{1000} = 3 脳 10^{5} m$

And, for frequency $f_{c} = 10, 000 H z$

The wavelength is given by;

$位_{c} = \frac{c}{f_{c}} = \frac{3 脳 10^{8}}{10, 000} = 3 脳 10^{4} m$

Thus, it can be observed that $位_{a} > 位_{b} > 位_{c}$
The largest wavelength is $位_{a}$ and the smallest wavelength islocalid="1648817329905" $位_{c}$ .

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91影视

Rank in order, from largest to smallest, the wavelengths $位_{a}, 位_{b} a n d 位_{c}$ for sound waves having frequencies $f_{a} = 100 H z, f_{b} = 1000 H z, a n d f_{c} = 10, 000 H z$ . Explain.

Short Answer

Step by step solution

Step 1. Write the given information.

Step 2. To determine the wavelengths of the given wave

One App. One Place for Learning.

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91影视

Rank in order, from largest to smallest, the wavelengths 位a,位band位cfor sound waves having frequencies fa=100Hz,fb=1000Hz,andfc=10,000Hz. Explain.

Short Answer

Step by step solution

Step 1. Write the given information.

Step 2. To determine the wavelengths of the given wave

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Wave Optics

Mechanics and Materials

Electromagnetism

Scientific Method Physics

Astrophysics

Torque and Rotational Motion

Study anywhere. Anytime. Across all devices.

Rank in order, from largest to smallest, the wavelengths $位_{a}, 位_{b} a n d 位_{c}$ for sound waves having frequencies $f_{a} = 100 H z, f_{b} = 1000 H z, a n d f_{c} = 10, 000 H z$ . Explain.