Log out Go to App
Go to App

Learning Materials

Features

Discover

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

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Prove that the most probable distance from the proton of an electron in the2sstate of hydrogen is 5.236aB.

Draw a series of pictures, similar to the ground states of Ca,Ni,As, and Kr.

Does each of the configurations in FIGURE Q41.6represent a possible electron configuration of an element? If so,

(i) identify the element and

(ii) determine whether this is the ground state or an excited state. If not, why not?

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

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

Calculate (a) the radial wave function and (b) the radial probability density at r=12aBfor an electron in the 1s state of hydrogen. Give your answers in terms ofaB
See all solutions

Recommended explanations on Physics Textbooks

Energy Physics

Read Explanation

Atoms and Radioactivity

Read Explanation

Solid State Physics

Read Explanation

Astrophysics

Read Explanation

Electricity

Read Explanation

Work Energy and Power

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free