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College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000

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BuyFindarrow_forward

College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000
Textbook Problem

(a) Calculate the wavelength of a photon that has the same momentum as a proton moving at 1.00% of the speed of light. (b) What is the energy of the photon in MeV? (c) What is the kinetic energy of the proton in MeV?

To determine

(a)

The wavelength of a photon that has the same momentum as a proton moving at 1.00% of the speed of light.

Explanation

Given info:

  m1.67×1027 kg

  c 3×108 ms1

  h6.63×1034 Js1

Formula used:

For momentum in photon, the relation between photon and wavelength is

  pmv

Or

  phλ

Calculation:

Velocity of proton moving is 1% of velocity of light, we get

  v1%×cv1100×3×108v3×106 ms1

Now momentum of photon is

  p1

To determine

(b)

The energy of the photon in MeV.

To determine

(c)

The kinetic energy of the proton in MeV.

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