Ultrasonic waves of frequency 4.5 MHz are used to detect tumor in soft tissues. The speed of sound in tissue is 1.5 km s $^{- 1}$ and that in air is 340 m s $^{- 1}$ . Find the wavelength of this ultrasonic wave in tissue.

333 m

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3.33 $\times$ 10 $^{- 4}$ m

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1000 m

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10-4 m

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Solution

The correct option is B
3.33 $\times$ 10 $^{- 4}$ m

frequency of wave $= 4.5 \times 10^{6} H z$

speed of sound in tissue $= 1.5 \times 10^{3} m / s$

Wavelength $= \frac{v}{f}$

$\frac{1.5 \times 10^{3}}{4.5 \times 10^{6}} =$

$0.333 \times 10^{- 3}$

$3.33 \times 10^{- 4} m$

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Ultrasonic waves of frequency 4.5 MHz are used to detect tumor in soft tissues. The speed of sound in tissue is 1.5 km s−1 and that in air is 340 m s−1. Find the wavelength of this ultrasonic wave in tissue.

The correct option is B 3.33 × 10−4 m frequency of wave =4.5×106 Hz speed of sound in tissue =1.5×103 m/s Wavelength =vf 1.5×1034.5×106= 0.333×10−3 3.33×10−4 m

Ultrasonic waves of frequency 4.5 MHz are used to detect tumor in soft tissues. The speed of sound in tissue is 1.5 km s $^{- 1}$ and that in air is 340 m s $^{- 1}$ . Find the wavelength of this ultrasonic wave in tissue.

The correct option is B
3.33 $\times$ 10 $^{- 4}$ m

frequency of wave $= 4.5 \times 10^{6} H z$

speed of sound in tissue $= 1.5 \times 10^{3} m / s$

Wavelength $= \frac{v}{f}$

$\frac{1.5 \times 10^{3}}{4.5 \times 10^{6}} =$

$0.333 \times 10^{- 3}$

$3.33 \times 10^{- 4} m$