The "seeing" ability or resolution of radiation is determined by its wavelength. If the size of an atom is approximately 10^-¹⁰ m, how fast must an electron travel to have a wavelength smaller than that of an atom? (m_e = 9.11 *10^-³¹ kg and h = 6.63 *10^-³⁴ J.s) A) 1.0 *10⁶ m/s B) 7.3 *10⁶ m/s C) 5.4 *10⁵ m/s D) 3.4 * 10⁶ m/s

Question

Quizplus · Accepted Answer

To find the speed of the electron, use the de Broglie wavelength formula: λ = h / (m_e * v). Set λ < 10^-10 m and solve for v. Plugging in the values, v = h / (m_e * λ) = 6.63 x 10^-34 J·s / (9.11 x 10^-31 kg * 10^-10 m) ≈ 7.3 x 10^6 m/s.

The "Seeing" Ability or Resolution of Radiation Is Determined by Its