Question
Asked Oct 16, 2019


Protons can be accelerated to speeds near that of light in particle accelerators. Estimate the wavelength (in nm) of such a proton moving at 2.88 ×108 m/s (mass of a proton = 1.673 × 10−27 kg). Enter your answer in scientific notation.

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Expert Answer

Step 1

 

Given

Mass of proton = 1.673 x 10-27kg

Velocity of proton = 2.88 x 108 m/s

The objective is to calculate the wavelength of the electron.

 

Step 2

The wavelength can be calculated using ...

h
mv
h 6.67x1034J-sec
6.67x1034 J-sec
=-
1.673x107kgx2.88x 10 m/sec
1.384 x 1015m
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h mv h 6.67x1034J-sec 6.67x1034 J-sec =- 1.673x107kgx2.88x 10 m/sec 1.384 x 1015m

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Atomic structure

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