Calculate for Bohr's atomic model the speed of the orbiting electron in the
n = 7 state. (Answer in m/s)
To calculate the speed of an electron orbiting the nucleus according to Bohr's atomic model, we can use the following formula:
v = (Z * e^2) / (4πε₀ * n * ħ)
Where:
- v is the speed of the electron
- Z is the atomic number of the atom (number of protons)
- e is the elementary charge (1.602 x 10^-19 C)
- ε₀ is the permittivity of free space (8.854 x 10^-12 C^2 / Nm^2)
- n is the principal quantum number (given as 7)
- ħ is the reduced Planck's constant (h/2π) (1.055 x 10^-34 Js)
First, let's plug in the given values into the formula:
Z = ? (Atomic number not given, cannot be calculated without further information)
Without the atomic number (Z), we cannot calculate the speed of the electron in the given state. Please provide the atomic number (Z) in order to proceed with the calculation.