3. (3 points) An atom with an atomic number of 1 has an effective radius of 0.87

Question

3. (3 points) An atom with an atomic number of 1 has an effective radius of 0.875 mm. What is the energy level of this atom? What is its energy? 4. (2 points) If the average life span of a certain elementary particle is 3 microseconds, what would be the mass uncertainty? You can may use a mass unit of electron-volts per squared speed of light if you'd like. 5. (2 points) A hydrogen atom could have an electron in any of its allowed states. What is the value of angular momentum for an electron in a hydrogen atom with principal quantum number 4 and orbital quantum number 3? To what extent does the angular momentum depend on the principal quantum number?

Explanation / Answer

3. r = a0 n^2

where a0 = 0.529 x 10^-10 m

and r = 0.875 x 10^-3 m (Given)

so n = 4067 .......Energy level

En = - 13.6 eV / n^2

En = - 13.6 / 4067^2 eV

En = - 8.22 x 10^-7 eV OR - 1.32 x 10^-25 J

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