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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,∆t=0.10ns, where Pis percentage chances of emitting photon and ∆tis time for emitting. To find lifetime of excited state, we will use the formula, τ=1r, whereris rate decay and τis lifetime of excited state . Let this be equation1.

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

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

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Most popular questions from this chapter

An electron accelerates through a 12.5V potential difference, starting from rest, and then collides with a hydrogen atom, exciting the atom to the highest energy level allowed. List all the possible quantum-jump transitions by which the excited atom could emit a photon and the wavelength (in nm) of each.

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