Question

Determine the wavelength of an ultrasonic wave of frequency 4.2 mhz. the speed of the wave is 1.7 km s-1

Answer 1

Answer: 2470.59 m or 2.47 km

Explanation: 1 MHz = 1000000 Hz

So, 4.2 Mhz = 4200000 Hz

1.7 km / s = 1700 m /s

speed = frequency / wavelength (v = f/lambda)

wavelength = frequency/speed

                    = 4200000/1700

                    = 2470.59 m or 2.47 km

Answer 2

The wavelength of an ultrasonic wave is $4.04\times 10^5\ m$.

Explanation:

Given that,

Frequency of ultrasonic wave, $f=4.2\ mHz=4.2\times 10^{-3}\ Hz$

Speed of the wave, v = 1.7 km/s = 1700 m/s

Let $\lambda$ is the wavelength of an ultrasonic wave. The speed of a wave is given by the relation as follows:

$v=f\lambda$

$\lambda=\dfrac{v}{f}$

$\lambda=\dfrac{1700\ m/s}{4.2\times 10^{-3}}$

$\lambda=4.04\times 10^5\ m$

So, the wavelength of an ultrasonic wave is $4.04\times 10^5\ m$. Hence, this is the required solution.

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