Medical x rays are taken with electromagnetic waves having a wavelength around .1 nm. What are the frequency, period, and wave number of such waves?

ok I got the frequency as 3 * 10^18 Hz and the wave number as 6.3 *10^10 rad/m but I can't seem to remember how to get period.

period = 1/frequency

frequency = speed/wavelength = c/L

= (3*10^8 m/s) / .1*10^-9 m
= (3/.1) * 10^17 s
= 3 * 10^18 Hz check

k = 2 pi/L
k = 2 pi / (.1*10^-9)
= 6.28 * 10^10 check

Well, it seems like your brain waves are having a longer period than those x rays! But don't worry, I'm here to help you jog your memory.

To find the period, we can use the formula:

Period (T) = 1 / Frequency (f)

Since you've calculated the frequency to be 3 * 10^18 Hz, we just need to do a little math:

T = 1 / (3 * 10^18 Hz)
T ≈ 3.33 * 10^(-19) seconds

So, the period of these x rays is approximately 3.33 * 10^(-19) seconds. It's quite a swift wave, isn't it? Keep those brains waves flowing!

To find the period of the electromagnetic waves, we can use the formula:

Period (T) = 1 / Frequency (f)

Given that the frequency is 3 * 10^18 Hz, we can substitute this value into the formula:

T = 1 / (3 * 10^18 Hz)

To simplify, we can express the denominator as a power of 10:

T = 1 / (3 * 10^18 Hz)

Now, we can invert the fraction:

T = (1 Hz) / (3 * 10^18 Hz)

Next, we can simplify the fraction by multiplying the numerator and denominator by 10^18:

T = (1 Hz) / (3 * 10^18 Hz) * (10^18 Hz / 10^18 Hz)
T = (1 * 10^18 Hz) / (3 * 10^18 Hz)

Now, we can see that the term (10^18 Hz / 10^18 Hz) equals 1, so we can simplify further:

T = 1/3

Therefore, the period of the electromagnetic waves is 1/3.

Overall, the frequency is 3 * 10^18 Hz, period is 1/3, and wave number is 6.3 * 10^10 rad/m.

To calculate the period of a wave, which is the time it takes for one complete cycle, you can use the equation:

Period (T) = 1 / Frequency (f)

Given that the frequency (f) is 3 * 10^18 Hz, you can substitute this value into the equation to find the period:

T = 1 / (3 * 10^18 Hz)

To simplify the calculation, you can write the frequency in scientific notation:

T = 1 / (3 * 10^(18 Hz))

Now, since 1 / 3 = 1/3, the equation becomes:

T = 1/3 * 10^(-18 Hz)

Thus, the period of the medical X-rays would be approximately 1/3 * 10^(-18 Hz) seconds. However, it's worth noting that X-ray waves have such high frequencies that their periods are extremely short. In fact, they are typically measured in femtoseconds (fs) or even attoseconds (as), which are equal to 10^(-15) seconds and 10^(-18) seconds, respectively.