What is the wavelength of a proton traveling at a speed of 6.21 km/s? What would be the region of the spectrum for electromagnetic radiation of this wavelength.

For this one I did the same thing

6.63 X 10^-34/ (? kg)(6210 m/s) =

How do get the kg for the problem

There are many numbers quoted here and in different kinds of units. Be careful that you use the one with units of kg.

http://en.wikipedia.org/wiki/Proton

so that website means that i need to use 1.6726 x 10^-27 kg

why that number

Because that's the mass of the proton in kilograms. Isn't that what you were looking for. The mass of the proton?

To find the wavelength of a proton traveling at a given speed, we can make use of the de Broglie equation, which relates the wavelength of a particle to its momentum. The equation is:

wavelength = h / (mass * velocity),

where wavelength is the desired unknown, h is the Planck constant (6.63 x 10^-34 J·s), mass is the mass of the proton (1.67 x 10^-27 kg), and velocity is the given speed (6.21 km/s = 6210 m/s).

To calculate the wavelength, we need the mass of the proton. The mass of a proton is a well-known physical constant and is approximately 1.67 x 10^-27 kg.

Now, let's substitute the values into the equation:

wavelength = (6.63 x 10^-34 J·s) / (1.67 x 10^-27 kg * 6210 m/s).

Solving this equation will give us the wavelength of the proton.

Upon obtaining the wavelength, we can determine the region of the spectrum for electromagnetic radiation of that wavelength. To do this, we can refer to the electromagnetic spectrum, which includes different regions such as radio waves, microwaves, infrared, visible light, ultraviolet, X-rays, and gamma rays. The division between these regions is not strictly defined but depends on specific values and conventions.

By comparing the obtained wavelength with the ranges of wavelength for each region of the spectrum, we can determine which region it falls into.