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Chapter 7: Problem 19

When copper is bombarded with high-energy electrons, X rays are emitted. Calculate the energy (in joules) associated with the photons if the wavelength of the X rays is \(0.154 \mathrm{nm}\).

Short Answer

Expert verified
Substituting the given values, we get the energy associated with the photons in Joules.

Step by step solution

01

Find the frequency

To find the frequency, rearrange the speed of light equation to \(v = c/\lambda\). Given that \(c = 3.00 x 10^8 ms^{-1}\) and \(\lambda = 0.154 nm = 0.154 x 10^{-9} m\), calculate \(v = c/\lambda\).
02

Calculate the energy'

Substitute the Planck's constant \(h\) and frequency \(v\) into the energy equation \(E = hv\). Given that \(h = 6.63 x 10^{-34} Js\), and use the frequency \(v\) from Step 1, we calculate the energy \(E\).
03

Converting the units correctly

Make sure that the units are consistent throughout. For instance, be very careful with the conversion of nanometers to meters in step 1.

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Most popular questions from this chapter

What is the maximum number of electrons in an atom that can have the following quantum numbers? Specify the orbitals in which the electrons would be found. (a) \(n=2, m_{s}=+\frac{1}{2} ;\) (b) \(n=4, m_{\ell}=+1\) (c) \(n=3, \ell=2 ;\) (d) \(n=2, \ell=0, m_{s}=-\frac{1}{2} ;\) (e) \(n=4\) ,\(\ell=3, m_{\ell}=-2\)

Explain why elements produce their own characteristic colors when they emit photons.

Explain the meaning of diamagnetic and paramagnetic. Give an example of an element that is diamagnetic and one that is paramagnetic. What does it mean when we say that electrons are paired?

Determine the maximum number of electrons that can be found in each of the following subshells: \(3 s\), \(3 d, 4 p, 4 f, 5 f\)

What is the wavelength, in \(\mathrm{nm},\) of radiation that has an energy content of \(1.0 \times 10^{3} \mathrm{~kJ} / \mathrm{mol} ?\) In which region of the electromagnetic spectrum is this radiation found?
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