Answer :
Final answer:
The de Broglie wavelength of a baseball can be calculated using the equation λ = h / p, where λ is the wavelength, h is Planck's constant, and p is the momentum. By calculating the momentum of the baseball using the equation p = m · v, and substituting the values into the equations, we find that the de Broglie wavelength of the baseball is approximately 1.03 × 10^-34 meters.
Explanation:
The de Broglie wavelength of an object can be calculated using the equation:
λ = h / p
where λ is the de Broglie wavelength, h is the Planck's constant (6.626 × 10^-34 J·s), and p is the momentum of the object.
To calculate the momentum, we use the equation:
p = m · v
where p is the momentum, m is the mass of the object, and v is the velocity of the object.
In this case, the mass of the baseball is given as 5.20 oz (0.147 kg) and the velocity is given as 97.5 mph (43.54 m/s).
Substituting these values into the equations, we get:
p = (0.147 kg) · (43.54 m/s) = 6.40 kg·m/s
λ = (6.626 × 10^-34 J·s) / (6.40 kg·m/s) = 1.03 × 10^-34 m
Therefore, the de Broglie wavelength of the baseball is approximately 1.03 × 10^-34 meters.
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