Protons are being accelerated in a particle accelerator. When the speed of the protons is doubled, their de Broglie wavelength will
A)increase by a factor of 4.
B)increase by a factor of 2.
C)decrease by a factor of 2.
D)increase by a factor of $\sqrt { 2 }$ .
E)decrease by a factor of $\sqrt { 2 }$ .

Question

Quizplus · Accepted Answer

The de Broglie wavelength is inversely proportional to the momentum of the particle. Doubling the speed of the protons doubles their momentum, thus halving their de Broglie wavelength.

Protons Are Being Accelerated in a Particle Accelerator 2\sqrt { 2 }2​

Protons Are Being Accelerated in a Particle Accelerator $\sqrt { 2 }$