High School

What is the de Broglie wavelength (in meters) of a 148 g baseball thrown at a velocity of 38.1 meters per second?

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

Learn more about de Broglie wavelength here:

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