What is the de Broglie wavelength of a 146-g baseball traveling at 99 mph? (1 mi = 1.609 km and h = 6.63 × 10^-34 J·s) A) 3.51 × 10³⁷ m B) 1.03 × 10^-34 m C) 1.03 × 10^-37 m D) 9.74 × 10³³ m E) 2.85 × 10^-38 m

Question

Quizplus · Accepted Answer

We can use the de Broglie wavelength equation:

λ = h / (mv)

Where λ is the de Broglie wavelength, h is Planck's constant, m is the mass of the baseball (in kg), v is the velocity of the baseball (in m/s).

First, we need to convert the mass of the baseball to kg:

146 g = 0.146 kg

Next, we need to convert the velocity of the baseball from mph to m/s:

99 mph = 44.26 m/s

Now we can plug in the values:

λ = (6.63 × 10^-34 J·s) / [(0.146 kg) x (44.26 m/s)]

λ = 1.03 × 10^-34 m

Therefore, the answer is B: 1.03 × 10^-34 m.

What Is the De Broglie Wavelength of a 146-G Baseball