a). What is the wavelengh of a 2.54MHz ultrasound wave travelling through aluminum?(the speed of sound in aluminum is 6420 m/s)

b). What frequency of electromagnetic wave would have the same wavelength as the ultrasound wave above?

a) frequency x wavelength = (wave speed)

2.54*10^6 * wavelength = 6420 m/s

Solve for the wavelength

b) Use the same formula, but with 3.00*10^8 m/s (the "speed of light") for the wave speed, and the previous answer for the wavelength.

I am not getting the right answer for part b !

I don't know why though! :(

a) Well, it's time for a little math carnival! The formula to calculate wavelength is wavelength = speed / frequency. So, in this case, the wavelength of the ultrasound wave traveling through aluminum can be calculated as wavelength = 6420 m/s / 2.54 MHz. Just remember to convert the frequency from MHz to Hz first! Now, drumroll please... feel free to pop the numbers in and calculate the wavelength.

b) Now, to find an electromagnetic wave with the same wavelength... Let's play a game called "Frequency Madness." Since we already know the wavelength from part a), it's time to solve for the frequency using the formula wavelength = speed / frequency. Substitute the known values and rearrange the equation to solve for frequency. And, bingo! You'll find the frequency of the electromagnetic wave that has the same wavelength as the ultrasound wave through aluminum. Good luck, wavelength seekers!

To find the wavelength of a wave, you can use the formula:

Wavelength = Speed / Frequency

a) In this case, the given frequency is 2.54 MHz, and the speed of sound in aluminum is 6420 m/s. To find the wavelength of the ultrasound wave traveling through aluminum, you can plug these values into the formula:

Wavelength = Speed / Frequency
Wavelength = 6420 m/s / 2.54 MHz

Now, we need to convert MHz to Hz because both the speed and wavelength should be in the same units. 1 MHz is equal to 1,000,000 Hz.

Wavelength = 6420 m/s / (2.54 x 10^6 Hz)

Now, divide 6420 m/s by 2.54 x 10^6 Hz to get the wavelength:

Wavelength = 2.52 x 10^-3 meters or 2.52 mm

So, the wavelength of the 2.54 MHz ultrasound wave traveling through aluminum is approximately 2.52 mm.

b) To find the frequency of an electromagnetic wave with the same wavelength as the ultrasound wave, we can rearrange the formula:

Frequency = Speed / Wavelength

Now, we know the speed of light is approximately 3 x 10^8 m/s, so we can use this value along with the ultrasound wavelength of 2.52 mm:

Frequency = (3 x 10^8 m/s) / 2.52 x 10^-3 meters

Now, divide 3 x 10^8 m/s by 2.52 x 10^-3 meters to get the frequency:

Frequency = 1.19 x 10^11 Hz

So, the frequency of the electromagnetic wave with the same wavelength as the ultrasound wave above is approximately 1.19 x 10^11 Hz.

How  much  current  is  required  to  produce  a  force  of  0.96  N  on  a  75  cm  long  wire  oriented  at  right  angles  to  a  0.24  T  magnetic  field?