Ultrasonic waves of frequency 3 * 105 Hz are passed through a medium where speed of sound is 10 times that in air (Speed of sound in air is 300 m/s). The wavelength of this wave in that medium will be of the order of

examrobotsa's picture
Q: 9 (NDA-I/2015)
Ultrasonic waves of frequency 3 * 105 Hz are passed through a medium where speed of sound is 10 times that in air (Speed of sound in air is 300 m/s). The wavelength of this wave in that medium will be of the order of

question_subject: 

Science

question_exam: 

NDA-I

stats: 

0,5,10,5,3,5,2

keywords: 

{'ultrasonic waves': [0, 0, 0, 5], 'frequency': [0, 0, 1, 3], 'wavelength': [0, 0, 3, 3], 'hz': [0, 0, 4, 8], 'wave': [0, 0, 1, 0], 'speed': [0, 1, 2, 0], 'sound': [4, 3, 10, 15], 'medium': [1, 0, 1, 11]}

To determine the wavelength of the ultrasonic waves in the given medium, we can use the equation v = f * λ, where v is the speed of the wave, f is the frequency, and λ is the wavelength.

First, let`s calculate the speed of sound in the given medium:

Speed of sound in air = 300 m/s

Speed of sound in the medium = 10 * 300 m/s = 3000 m/s

Now, we can calculate the wavelength:

Wavelength = Speed of sound / Frequency

Wavelength = 3000 m/s / (3 * 105 Hz) = 0.01 m = 1 cm

Therefore, the correct option is option 1, which states that the wavelength of the ultrasonic waves in the given medium will be approximately 1 cm.

Thus, the correct answer is option 1.

Practice this on app