Final answer:
To calculate the velocity at which an electron will have a wavelength of 1.00 m, we can use the de Broglie wavelength equation. Rearranging the equation and substituting the known values, we find that the velocity is approximately 7.29 × 10^6 m/s.
Step-by-step explanation:
To calculate the velocity at which an electron will have a wavelength of 1.00 m, we can use the de Broglie wavelength equation. The equation is:
λ = h / (m * v)
where λ is the wavelength, h is Planck's constant (6.626 × 10^-34 J·s), m is the mass of the electron (9.109 × 10^-31 kg), and v is the velocity of the electron. Rearranging the equation, we find:
v = h / (m * λ)
Now we can substitute the known values into the equation:
v = (6.626 × 10^-34 J·s) / (9.109 × 10^-31 kg * 1.00 m)
Calculating the result, we find that the velocity at which an electron will have a wavelength of 1.00 m is approximately 7.29 × 10^6 m/s.