The de Broglie equation predicts that the wavelength (in m) of a proton moving at 1000. m/s is ________. (h = 6.63 × 10^-34 J • s; mass of a proton = 1.673 × 10^-24 g) A) 3.96 × 10^-10 m B) 3.96 × 10^-7 m C) 2.52 × 10⁶ m D) 2.52 × 10⁹ m E) 10¹⁰ m

Question

The de Broglie equation predicts that the wavelength (in m) of a proton moving at 1000. m/s is ________. (h = 6.63 × 10^-34 J • s; mass of a proton = 1.673 × 10^-24 g) A) 3.96 × 10^-10 m B) 3.96 × 10^-7 m C) 2.52 × 10⁶ m D) 2.52 × 10⁹ m E) > 10¹⁰ m

Quizplus · Accepted Answer

The de Broglie wavelength $\lambda$ is given by $\lambda = \frac{h}{mv}$, where $h$ is Planck's constant (6.63 × 10^-34 J•s), $m$ is the mass of the proton (1.673 × 10^-27 kg, after converting from grams to kilograms), and $v$ is the velocity of the proton (1000 m/s). Plugging these values into the equation gives a wavelength of approximately 3.96 × 10^-10 m.

The De Broglie Equation Predicts That the Wavelength (In M)