/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q10CQ Why does the energy of character... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

Why does the energy of characteristic x rays become increasingly greater for heavier atoms?

Short Answer

Expert verified

The energy of characteristic x rays becomes significantly larger for heavier atoms because it increases approximately as Z2.

Step by step solution

01

Define characteristic x rays

The electromagnetic radiation released by an atom when an inner shell vacancy is filled is known as a characteristic x-ray. When electrons jump from a higher to a lower energy state, these x-ray radiations are emitted by the atom.

Given that observers at a safe distance from an atmospheric test of a nuclear bomb feels its heat but receive none of its copious x rays.

The energy characteristics x-rays are given as:

\({\bf{E = - }}\frac{{{{\bf{Z}}^{\bf{2}}}}}{{{{\bf{n}}^{\bf{2}}}}}{{\bf{E}}_{\bf{o}}}\)

Here, Zis the atomic Number, Eois the energy at the ground state and nis the ground state.

02

Determine the conclusion for the question

Consider the expression for the energy of characteristic x rays.

\(E = - \frac{{{Z^2}}}{{{n^2}}}{E_o}\)

Energy is directly proportional to Z2,as shown by the equation above.

The value of Z is quite significant for heavier atoms.

As a result, the energy characteristics of x-rays are high in heavier atoms.

Therefore, the energy characteristics x rays become increasingly greater for heavier atoms.

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.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

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

Particles called muons exist in cosmic rays and can be created in particle accelerators. Muons are very similar to electrons, having the same charge and spin, but they have a mass 207 times greater. When muons are captured by an atom, they orbit just like an electron but with a smaller radius, since the mass in\({{\bf{a}}_{\bf{B}}}{\bf{ = }}\frac{{{{\bf{h}}^{\bf{2}}}}}{{{\bf{4}}{{\bf{\pi }}^{\bf{2}}}{{\bf{m}}_{\bf{e}}}{\bf{kq}}_{\bf{e}}^{\bf{2}}}}{\bf{ = 0}}{\bf{.529 \times 1}}{{\bf{0}}^{{\bf{ - 10}}}}{\bf{\;m is 207}}{{\bf{m}}_{\bf{e}}}\)

(a) Calculate the radius of then = 1 orbit for a muon in a uranium ion\(\left (Z = 92).

(b) Compare this with the7.5 - fmradius of a uranium nucleus. Note that since the muon orbits inside the electron, it falls into a hydrogen-like orbit. Since your answer is less than the radius of the nucleus, you can see that the photons emitted as the muon falls into its lowest orbit can give information about the nucleus.

Observers at a safe distance from an atmospheric test of a nuclear bomb feel its heat but receive none of its copious x rays. Why is air opaque to x rays but transparent to infrared?

Lasers are used to burn and read CDs. Explain why a laser that emits blue light would be capable of burning and reading more information than one that emits infrared.

A student in a physics laboratory observes a hydrogen spectrum with a diffraction grating for the purpose of measuring the wavelengths of the emitted radiation. In the spectrum, she observes a yellow line and finds its wavelength to be 589 nm. (a) Assuming this is part of the Balmer series, determine ni , the principal quantum number of the initial state. (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?

Integrated Concepts

A galaxy moving away from the earth has a speed of 0.0100c. What wavelength do we observe for an ni = 7 to nf = 2 transition for hydrogen in that galaxy?

See all solutions

Recommended explanations on Physics Textbooks

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.