Chapter 2: Q78PP (page 543)

After a beam passes through $10 cm$ of tissue, what is the beam’s intensity as a fraction of its initial intensity from the transducer?
(a) $1 \times 10^{- 11}$ ; (b) $0.001$ ; (c) $0.01$ ; (d) $0.1$

Short Answer

Expert verified

The correct option is $d$ .

Step by step solution

Given Data

The beam length within the tissue is- $10 c m$

Sound Intensity

The energy carried by a sound wave per unit area, per second, perpendicular to the direction of propagation, is called intensity of sound. In units of dB the intensity of sound is given as-

$β = (10 dB) \log \frac{I}{I_{0}}$

Here, $I$ is the sound intensity and $I_{O}$ is the threshold intensity of the wave.

Calculate the fraction

In $10 cm$ inside a tissue, the intensity is

$\begin{matrix} β = \frac{- 100 dB}{10} \\ = - 10 dB \end{matrix}$

Using this value, find the fraction of intensity

$\begin{matrix} - 10 d B = 10 d B \log \frac{I}{I_{0}} \\ \log \frac{I}{I_{0}} = - 1 \\ \frac{I}{I_{0}} = 0.1 \end{matrix}$

Hence, the required fraction is $0.1$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

After a beam passes through $10 cm$ of tissue, what is the beam’s intensity as a fraction of its initial intensity from the transducer?
(a) $1 \times 10^{- 11}$ ; (b) $0.001$ ; (c) $0.01$ ; (d) $0.1$

Short Answer

Step by step solution

Given Data

Sound Intensity

Calculate the fraction

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Waves Physics

Dynamics

Energy Physics

Linear Momentum

Scientific Method Physics

Thermodynamics

Study anywhere. Anytime. Across all devices.

After a beam passes through 10cm of tissue, what is the beam’s intensity as a fraction of its initial intensity from the transducer?(a)1×10-11; (b)0.001; (c)0.01; (d) 0.1

Short Answer

Step by step solution

Given Data

Sound Intensity

Calculate the fraction

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Waves Physics

Dynamics

Energy Physics

Linear Momentum

Scientific Method Physics

Thermodynamics

Study anywhere. Anytime. Across all devices.

After a beam passes through $10 cm$ of tissue, what is the beam’s intensity as a fraction of its initial intensity from the transducer?
(a) $1 \times 10^{- 11}$ ; (b) $0.001$ ; (c) $0.01$ ; (d) $0.1$