Q. 52 For radio and microwaves, the de... [FREE SOLUTION]

Chapter 31: Q. 52 (page 903)

For radio and microwaves, the depth of penetration into the human body is proportional to $位^{1 / 2}$ . If $27 MHz$ radio waves penetrate to a depth of $14 cm$ , how far do $2.4 GHz$ microwaves penetrate $?$

Short Answer

Expert verified

Microwaves penetrates at $1.53 cm$ .

Step by step solution

Calculation for wavelength for first frequency

The depth of penetration into the human body for radio and microwaves is provided by $位^{1 / 2}$ , which is important for our situation.

Formula is,

$c = 位脳 f$

For $f = 27 MHz$

$位_{1} = \frac{c}{f}$

$位_{1} = \frac{3 脳 10^{8} \frac{m}{s}}{27 脳 10^{6}}$

$位_{1} = 11 m$

$\sqrt{位_{1}} = 3.2 m$

Calculation of wavelength for second frequency

For $f = 2.4 GHz$

$位_{2} = \frac{c}{f}$

$位_{2} = \frac{3 脳 10^{8} \frac{m}{s}}{2.4 脳 10^{9}}$

$位_{2} = 0.125 m$

Calculation for distance

The relationship is,

$r = \frac{\sqrt{位_{1}}}{\sqrt{位_{2}}}$

$= \frac{3.2 m}{0.35 m}$

$= 9.14$

Depth of penetration is,

$d_{2} = \frac{d_{1}}{r}$

$d_{2} = \frac{14 cm}{9.14}$

$d_{2} = 1.53 cm$

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91影视

For radio and microwaves, the depth of penetration into the human body is proportional to $位^{1 / 2}$ . If $27 MHz$ radio waves penetrate to a depth of $14 cm$ , how far do $2.4 GHz$ microwaves penetrate $?$

Short Answer

Step by step solution

Calculation for wavelength for first frequency

Calculation of wavelength for second frequency

Calculation for distance

One App. One Place for Learning.

Most popular questions from this chapter

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Study anywhere. Anytime. Across all devices.

91影视

For radio and microwaves, the depth of penetration into the human body is proportional to 位1/2. If27MHzradio waves penetrate to a depth of14cm, how far do2.4GHzmicrowaves penetrate?

Short Answer

Step by step solution

Calculation for wavelength for first frequency

Calculation of wavelength for second frequency

Calculation for distance

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Energy Physics

Physics of Motion

Atoms and Radioactivity

Classical Mechanics

Further Mechanics and Thermal Physics

Fundamentals of Physics

Study anywhere. Anytime. Across all devices.

For radio and microwaves, the depth of penetration into the human body is proportional to $位^{1 / 2}$ . If $27 MHz$ radio waves penetrate to a depth of $14 cm$ , how far do $2.4 GHz$ microwaves penetrate $?$