Final answer:
The speed of each particle with the same wavelength as a photon of orange light can be found using the de Broglie wavelength equation and knowing the mass of the particle. Different particles will have different speeds due to their varying masses.
Step-by-step explanation:
To find the speed of a particle with the same wavelength as a photon of orange light, we can use the de Broglie wavelength equation, λ = h/p, where λ is the wavelength, h is Planck's constant, and p is the momentum of the particle. The wavelength (λ) of orange light is approximately 620 nm, and Planck's constant (h) is 6.63x10-34 J·s. The momentum (p) can be derived using the equation p = mv, where m is the mass of the particle, and v is its velocity. Since we are looking for the velocity (v), we can rearrange the equation as v = h / (mλ).
To calculate the velocity for a specific particle type, you must know its mass. This calculation will give different speeds for different particles, such as electrons, protons, or atoms, since their masses are different.
The de Broglie wavelength concept bridges the gap between wave and particle theories, showing that matter exhibits both particle and wave-like properties, depending on the context