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Numerade Educator



Problem 5 Medium Difficulty

To "observe" small objects, one measures the diffraction of particles whose de Broglie wavelength is approximately equal to the object's size. Find the kinetic energy (in electron volts) required for electrons to resolve (a) a large organic molecule of size $10 \mathrm{nm}$
(b) atomic features of size $0.10 \mathrm{nm},$ and $(\mathrm{c})$ a nucleus of size $10 \mathrm{fm}$. Repeat these calculations using alpha particles in place of electrons.


a.) $K E=0.01506 \mathrm{eV}$ and $K E=2.06467 \times 10^{-6} \mathrm{eV}$
b.) $K E=150.64428 \mathrm{eV}$ and $K E=0.02064 \mathrm{eV}$
c.) $K E=1.50644 \times 10^{8} \mathrm{eV}$ and $K E=2.06467203 \times 10^{6} \mathrm{eV}$


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Video Transcript

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