Answer :
Final answer:
The de Broglie wavelength of a 148 g baseball thrown at a velocity of 38.1 m/s is approximately 1.83 × 10^-34 meters.
Explanation:
Even though we don't commonly think of everyday objects like a baseball having wavelengths because they're so tiny, this shows how quantum mechanics applies to all aspects of the physical world.
The de Broglie wavelength is a concept in physics that describes the wave-like nature of particles. It is calculated using the formula:
λ = h / (mv)
Where:
- λ is the de Broglie wavelength
- h is Planck's constant (6.626 × 10^-34 kg·m²/s)
- m is the mass of the baseball (148 g, or 0.148 kg)
- v is the velocity of the baseball (38.1 m/s)
Using these values, we can calculate the de Broglie wavelength:
λ = (6.626 × 10^-34 kg·m²/s) / (0.148 kg * 38.1 m/s)
λ ≈ 1.83 × 10^-34 meters
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