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Chapter 38: Q13Q (page 1181)

The following nonrelativistic particles all have the same kinetic energy. Rank them in order of their de Broglie wavelengths, greatest first: electron, alpha particle, neutron.

Short Answer

Expert verified

The rank is electron, neutron, alpha particle.

Step by step solution

01

Describe the de Broglie wavelength

The de Broglie wavelength is given by,

位=hmv

Here, h is the plank鈥檚 constant, m is the mass and v is the velocity.

02

Rank the de Broglie wavelengths for electron, alpha particle, and neutron

From the de Broglie wavelength, it can be observed that the mass of the particle is inversely proportional to the wavelength.

It is known that the mass of the neutron is mn=1.67脳10-27kg, the mass of alpha particle is m伪=6.664脳10-27kg and the mass of the electron is me=9.11脳10-31kg.Clearly, me<mn<m伪. So, rank of de Broglie wavelength is 位e>位n>位伪.

Therefore, the rank is electron, neutron, alpha particle.

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Most popular questions from this chapter

In a photoelectric experiment using a sodium surface, you find a stopping potential of 1.85 V for a wavelength of 300nm and a stopping potential of 0.820 V for a wavelength of 400 nm. From these data find (a) a value for the Planck constant, (b) the work function for sodium, and (c) the cutoff wavelength 位0 for sodium?

You wish to pick an element for a photocell that will operate via the photoelectric effect with visible light. Which of the following are suitable (work functions are in parentheses): tantalum (4.2 eV), tungsten (4.5 eV), aluminium (4.2 eV), barium (2.5 eV), lithium (2.3 eV) ?

Derive Eq. 38-11, the equation for the Compton shift, from Eqs. 38-8, 38-9, and 38-10 by eliminating v and 胃.

The wavelength associated with the cutoff frequency for silver is 325nm. Find the maximum kinetic energy of electrons ejected from a silver surface by ultraviolet light of wavelength 254nm.

Calculate the percentage change in photon energy during collision like that in Fig. 38-5 for蠒=90鈭� and for radiation in

(a) the microwave range, with位=3.0鈥塩尘 ;

(b) the visible range, with 位=500鈥塶尘;

(c) the x-ray range, with位=25鈥塸尘 ; and

(d) the gamma-ray range, with a gamma photon energy of 1.0 MeV.

(e) What are your conclusions about the feasibility of detecting the Compton shift in these various regions of the electromagnetic spectrum, judging solely by the criterion of energy loss in a single photon-electron encounter?
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