Final answer:
The wavelength of a baseball thrown at a speed of 100 mph is approximately 8.43 × 10^-37 m. The wavelength of a hydrogen atom at the same speed is approximately 2.78 nm.
Step-by-step explanation:
The wavelength of a baseball can be calculated using the formula λ = h/mv, where λ represents the wavelength, h is Planck's constant (approximately 6.63 × 10^-34 J·s), m is the mass of the baseball (0.141 kg), and v is the speed of the baseball (100 mph or 44.7 m/s).
Substituting the given values into the formula, we get:
λ = (6.63 × 10^-34 J·s) / (0.141 kg × 44.7 m/s)
Solving for λ gives us a wavelength of approximately 8.43 × 10^-37 m.
The wavelength of a hydrogen atom at the same speed can be calculated using a similar formula, but substituting the mass of a hydrogen atom (approximately 1.67 × 10^-27 kg) for m:
λ = (6.63 × 10^-34 J·s) / (1.67 × 10^-27 kg × 44.7 m/s)
Solving for λ gives us a wavelength of approximately 2.78 × 10^-9 m or 2.78 nm.