A sprinter must average 24.0 mi/h to win a 100-m dash in 9.30 s. What is his wavelength at this speed if his mass is 84.5 kg? A) 7.29 × 10^-37 m B) 3.26 × 10^-37 m C) 5.08 × 10^-30 m D) 1.34 × 10^-30 m E) none of the above

Question

Quizplus · Accepted Answer

The de Broglie wavelength is calculated using λ = h / (mv), where h is Planck's constant (6.626 × 10^-34 m^2 kg/s), m is mass (84.5 kg), and v is velocity (converted to m/s). The correct calculation gives approximately 7.29 × 10^-37 m.

A Sprinter Must Average 24