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Chapter 41: Q. 45 (page 1208)

An atom in an excited state has a 1.0%% chance of emitting a photon in0.10ns . What is the lifetime of the excited state?

Short Answer

Expert verified

The lifetime of the excited state is10ns.

Step by step solution

01

Given Information

We are given that atom in an excited state has a1.0%chance of emitting a photon in0.10ns. We need to find the lifetime of the excited state.

02

Simplify

We are given with P=1.0%=0.01,鈭�t=0.10ns, where Pis percentage chances of emitting photon and 鈭�tis time for emitting. To find lifetime of excited state, we will use the formula, 蟿=1r, whereris rate decay and 蟿is lifetime of excited state . Let this be equation1.

So we need to find rate decayr, we will use the formula , r=P鈭�t=0.010.10ns=0.10

Now we will put it in equation 1, lifetime of excited staterole="math" localid="1650310365610" 蟿=1r=10.10=10ns

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Most popular questions from this chapter

1.0脳106sodium atoms are excited to the 3pstate at t=0s. How many of these atoms remain in the 3pstate at

(a) t=10ns

(b)t=30ns, and

(c) t=100ns?

a. Draw a diagram similar to Figure 41.2 to show all the possible orientations of the angular momentum vector L鈫�for the case l=3. Label each L鈫�with the appropriate value of m.

b. What is the minimum angle between L鈫�and the z-axis?

Three electrons are in a one-dimensional rigid box (i.e., an infinite potential well) of length 0.50nm. Two are in the n = 1 state and one is in the n = 6 state. The selection rule for the rigid box allows only those transitions for which n is odd.

a. Draw an energy-level diagram. On it, show the filled levels and show all transitions that could emit a photon.

b. What are all the possible wavelengths that could be emitted by this system?

What is the difference between l and L?

What is the difference between the probability density and the radial probability density?
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