What is the wavelength of an electron traveling at of 3.74% the speed of light? (m_e=9.109×10^-31 kg,c=3.00×10⁸ m/s,h=6.63×10^-34 J·s) A)1.54×10¹⁰ m B)2.43×10^-12 m C)6.49×10^-11 m D)1.54×10¹² m E)6.49×10^-13 m

Question

Quizplus · Accepted Answer

The de Broglie wavelength formula is:

λ = h/mv

where λ is the wavelength, h is Planck's constant, m is the mass of the particle, and v is its velocity.

Substituting the given values, we get:

λ = (6.63×10^-34 J·s)/(9.109×10^-31 kg)(0.0374c)

where c is the speed of light.

Calculating this gives λ = 6.49×10^-11 m.

Therefore, the answer is choice C.

What Is the Wavelength of an Electron Traveling at of 3.74