Chapter 41: Q. 19 (page 1207)

An excited state of an atom has a $25 n s$ lifetime. What is the probability that an excited atom will emit a photon during a $0.50 n s$ interval?

Short Answer

Expert verified

The probability that an excited atom will emit a photon during a $0.50 n s$ interval is $0.20 %$

Step by step solution

Given Information

We need to find the probability that an excited atom will emit a photon during a $0.50 n s$ interval.

Simplify

Consider :

$τ = 25 n s ∆ t = 0.50 n s$

Using formula:

$∆ t = r ∆ t$ .

First, finding the decay rate:

$r = \frac{1}{τ} r = \frac{1}{25 n s} r = 0.040 n s^{- 1}$

Now, find prob decay $∆ t$ :

$∆ t = r \times ∆ t ∆ t = (0.040 n s^{- 1}) (0.50 n s) ∆ t = 0.02 \approx 0.2 %$

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An excited state of an atom has a $25 n s$ lifetime. What is the probability that an excited atom will emit a photon during a $0.50 n s$ interval?

Short Answer

Step by step solution

Given Information

Simplify

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An excited state of an atom has a 25nslifetime. What is the probability that an excited atom will emit a photon during a 0.50ns interval?

Short Answer

Step by step solution

Given Information

Simplify

One App. One Place for Learning.

Most popular questions from this chapter

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An excited state of an atom has a $25 n s$ lifetime. What is the probability that an excited atom will emit a photon during a $0.50 n s$ interval?