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University Physics Volume 3

17th Edition
William Moebs + 1 other
ISBN: 9781938168185
BuyFindarrow_forward

University Physics Volume 3

17th Edition
William Moebs + 1 other
ISBN: 9781938168185
Textbook Problem

What is the wavelength of a 50-GeV electron, which is produced at SLAC? This provides an idea of the limit to the detail it can probe.

To determine

The wavelength of a 50-GeV electron produced by SLAC.

Explanation

Given:

Energy, E=50GeV.

Formula used:

The wavelength is calculated by

  λ=hvE

Calculation:

The Momentum is calculated as p=Ev

where, p stands for momentum, E stands for energy and v stands for velocity

Momentum in terms of Plank's constant and wavelength is, p=hλ

Thus, from the above expression wavelength is calculated as, hλ=Ev

Rearrange the equation in terms of wavelength, λ=hvE

The wavelength of the 50GeV electron is calculated as

Substitute 4.14×1024GeV×s for h, 3

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