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Chapter 3: Q19E (page 93)

What wavelength of light is necessary to produce photoelectron of speed 2脳108mswith a magnesium target?

Short Answer

Expert verified

The wavelength of light necessary to produce photoelectron of speed 2脳108鈥�ms with a magnesium target is 82.5鈥塶尘.

Step by step solution

01

Converting into joules.

The energy of the photon is, E=hc位 . The Kinetic energy of the photon from the zinc plate is given by: KEmax=E-蠁 Here 蠁 is the work function.

Now reforming the expression, we have,

位=hc12尘位2+f

Because magnesium's work function potential is 3.7 eV, it must first be converted to Joules:

(3.7eV)1.6脳10鈭�14鈥塉1鈥塩痴=5.92脳10鈭�11J

02

Determine the value of wavelength.

Substituting the value to calculate the value of wavelength,

位=(6.63脳10鈭�14鈥塉蝉)3脳102鈥�ms12(9.1脳10鈭�13鈥塳驳)2脳106鈥�ms2+5.92脳10鈭�17鈥塉=8.25脳10鈭�8鈥尘=82.5nm

Hence the value of wavelength is 82.5 nm.

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Most popular questions from this chapter

A gamma-ray photon changes into a proton-antiproton pair. Ignoring momentum conservation, what must have been the wavelength of the photon (a) if the pair is stationary after creation, and (b) if each moves off at 0.6c, perpendicular to the motion of the photon? (c) Assume that these interactions occur as the photon encounters a lead plate and that a lead nucleus participates in momentum conservation. In each case, what fraction of the photon's energy must be absorbed by a lead nucleus?

A photon and an object of mass m have the same momentum p.

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