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An electron and a photon each have a wav...

An electron and a photon each have a wavelength of 1.00 nm. Find
a. their momenta,
b. the energy of the photon, and
c. the kinetic energy of electron.

Text Solution

Verified by Experts

`lambda=1xx10^(-9)m`
a. `p_(c )=p_(p)=(h)/(lambda)=(6.6xx10^(-34))/(1xx10^(-9))=6.6xx10^(-25)kg ms^(-1)`,
b. `E=h_(upsilon)=(hc)/(lambda)=(6.6xx10^(-34)xx3xx10^(8))/(10^(-9))=1.24keV`
c. `K_("max")=(1)/(2)mv^(2)=(p^(2))/(2m)=((6.6xx10^(-25))^(2))/(2xx9.1xx10^(-31))=2.4xx10^(-19)J=1.49eV`
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