Wave Mechanics Question 640

Question: A hospital uses an ultrasonic scanner to locate tumours in a tissue. The operating frequency of the scanner is 4.2 MHz. The speed of sound in a tissue is 1.7 km/s. The wavelength of sound in tissue is close to

Options:

A) $ 4\times {{10}^{-4}}m $

B) $ 8\times {{10}^{-4}}m $

C) $ 4\times {{10}^{-3}}m $

D) $ 8\times {{10}^{-3}}m $

Show Answer

Answer:

Correct Answer: A

Solution:

[a] Frequency $ (n)=4.2MHz=4.2\times 10^{6}Hz $ and speed of sound (v) $ =1.7km/s=1.7\times 10^{3}m/s $ . Wave length of sound in tissue $ (\lambda )=\frac{v}{n}=\frac{1.7\times 10^{3}}{4.2\times 10^{6}}=4\times {{10}^{-4}}m. $