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What is the de Broglie wavelength associated with a car of mass 1000 kg moving at 36 km/h?
- 6.626 × 10⁻³⁴ m
- 6.626 × 10⁻³⁸ m
- 6.626 × 10⁻³¹ m
- 6.626 × 10⁻³⁰ m
Correct answer: 6.626 × 10⁻³⁸ m
Solution
The de Broglie wavelength is calculated using the formula λ = (h)/(mv), where h is Planck's constant, m is the mass, and v is the velocity. For a car with a mass of 1000 kg moving at 36 km/h, the resulting wavelength is extremely small, specifically 6.626 × 10⁻³⁸ m, which reflects the negligible wave-like properties of macroscopic objects.
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