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 $0.1$ .

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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

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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

Thermodynamics

Fluids

Engineering Physics

Turning Points in Physics

Electromagnetism

Measurements

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) $0.1$