Final answer:
The frequency of a electron traveling at a particular speed can be calculated using Plank's equation. By first calculating the kinetic energy of the electron, we can then use this value to determine the frequency by employing the formula E=hv where h is Planck's constant and v is the frequency. This requires values like electron mass and Planck's Constant.
Step-by-step explanation:
To calculate the frequency of an electron traveling at 1.85x10⁷ m/s, we utilize the Planck's equation E=hv with known values of Planck's constant(h=6.63x10-34 J.s) but we first need to find the energy(E) the electron carries. For an electron moving freely in a vacuum, the kinetic energy can be represented as E=1/2 mv2, where m is the mass of an electron (9.11x10-31 kg) and v is the velocity(1.85x10⁷ m/s). Substituting these values into the kinetic energy formula, we calculate the energy of the electron. Then, using this value of Energy in Planck's equation, we calculate the frequency. This calculation would not be possible without factoring in the values for the speed of light, electron's mass, and Planck's constant.
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