The Bohr\'s model for the hydrogen atom states that the electron in a hydrogen a

Question

The Bohr's model for the hydrogen atom states that the electron in a hydrogen atom travels around the nucleus in a set of fixed orbits such that the orbital energy is quantized. The energy of the electron at each of these orbits is defined by the quantum number n according to the Bohr's formula: An electron will gain or lose a quantum of energy when it jumps from one orbit to another. What does quantized energy mean? Calculate the energy of electron in a hydrogen atom when it is in orbits n = 1,n=2 and n = 3, respectively. What is the quantum energy change when an electron jumps from orbit n = 1 to n 3 ? Does the electron gain or lose energy ? Explain What is the quantum energy change when an electron jumps from orbit n = 3 to n = 2? Docs the electron gain or lose energy? Explain From part (d). if energy is emitted in the form of photon, what arc the frequency (v)and wavelength (X; in nm) of this photon?

Explanation / Answer

b)E1 = - 2.18*10^-18/(1)^2 = -2.18*10^-18
E2 = - 2.18*10^-18/(2)^2 = -5.45*10^-19
E3 = - 2.18*10^-18/(3)^2 = -2.422*10^-19

C)E = 2.18*10^-18 (1/n1^2 - 1/n2^2)
E = 2.18 * 10^-18 *((1/1^2) - (1/3^2))
E = 1.9378*10^-18

d)E = 2.18*10^-18 (1/n1^2 - 1/n2^2)
E = 2.18 * 10^-18 *((1/3^2) - (1/2^2))
E = -3.078*10^-19

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