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(a) Calculate the time required for an electron in the n =

Chapter 31, Problem 29P

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QUESTION:

Problem 29P

(a) Calculate the time required for an electron in the n = 2 state of hydrogen to complete one orbit about the nucleus, (b) The typical "lifetime" of an electron in the n = 2 state is roughly 10−8 s—after this time the electron is likely to have dropped back to the n = 1 stale. Estimate the number of orbits an election completes in the n = 2 state before dropping to the ground state.

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QUESTION:

Problem 29P

(a) Calculate the time required for an electron in the n = 2 state of hydrogen to complete one orbit about the nucleus, (b) The typical "lifetime" of an electron in the n = 2 state is roughly 10−8 s—after this time the electron is likely to have dropped back to the n = 1 stale. Estimate the number of orbits an election completes in the n = 2 state before dropping to the ground state.

ANSWER:

Step 1 of 3

Here, we have to calculate the time required to complete one revolution and the number of orbits.

The equation for the time

T = Distance traveled / speed

The equation for the Bohr orbit radius

The equation for the circumference of a circle.

The equation for the speed

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