Problem 1A.7

[Yazmin Bocanegra 3L]

1A.7.
a) The frequency of violet light is 7.1 x 10^14 Hz. What is the wavelength (in nanometers) of violet light?
b) When an electron beam strikes a block of copper, x-rays with a frequency of 2.0 x 10^18 Hz are emitted. What is the wavelength (in picometers) of these x-rays?

I need help with this problem. Please and thank you!!

[EvaLi_3J]

A) Just use the equation c = wavelength * frequency. All light (including those that we cannot see like infrared and ultraviolet) have the same velosity, which is denoted by c, and it is equal to 3.0*10^8 m/s (this is not the more precise though, you might need to look up the precise value for precision). Now, you are given the frequency and you know the speed of light, you can easily calculate the wavelength. Just remember that 1 nanometer is 1*10^(-9) meter.

B) X-ray also has a velocity of c, so you can basically calculate this problem like a) above.


Hope that helps.

[Daniel Honeychurch1C]

Since c = λv, λ = c/v = (3.0 x 10^8 m/s) / frequency. For both problems, plug in the given frequencies to get the wavelength. Then convert to manometers ( 1 m = 10^9 nm, 1 m = 10^12 pm).

[Suraj Doshi 2G]

For both parts we can use the equation: c = (lambda) * (v-frequency).

The equation for part a turns out to be:
3.00*10^8 = (lambda) * 7.1 x 10^14 Hz.

The equation for part b turns out to be:
3.00*10^8 = (lambda) * 2.0 x 10^18 Hz.
Just be sure to convert to picometers.

[Tiffany Vo 3G]

For the first question, you'd have to use c = wave length x frequency, so you'd divide 3 x 10^8 meters per second by 7.1 x 10^14 Hz. If it helps, 1 Hz is equivalent to 1/second, so your units should cancel out and leave you just your wavelength. After that, it's just a matter of converting the meters to nanometers by multiplying by 10^9. The same process can be applied to the second question, but you'd have to multiply by 10^12 to convert from meters to picometers.

[Aprice_1J]

When first looking at this problem something that is important to note is the change in units. To make sure that this doesn't get you confused because that is a little thing that is easy to overlook, I like to set it up as a fraction and make sure that all of the units cancel out. Some of the conversions will be given to you but make sure to memorize the SI untis. As for the problem you are looking to go from frequency to wavelength for both parts so you will be using c=v(frequency)x wavelength. C is a constant and then you plug in what you are given for frequency to find wavelength.