Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
334 views
in Physics by (115k points)
closed by
When an X-ray photon is scattered at 90° by a suitable material, its wavelength is
1. 0.048 Å
2. 0.012 Å
3. 0.024 Å
4. 0.0 Å

1 Answer

0 votes
by (114k points)
selected by
 
Best answer
Correct Answer - Option 3 : 0.024 Å

Concept:

Compton effect:

  • Compton effect is the term used for an unusual result observed when X-rays are scattered on some materials.
  • During the study, Compton found that wavelength is not dependent on the intensity of incident radiation.
  • It is dependent on the angle of scattering and on the wavelength of the incident beam.

Mathematically,

\( λ'-λ=\frac{h}{m_0c}\left(1-cosϕ\right)\)

Where, 

λ' = Wavelength after & Scattering,

λ = initial wavelength,

mo = rest mass of an electron = 9.109 × 10−31 kg,

c = speed of light = 3 × 108 m/s,

h = Planck's constant = 6.626×10−34 joule-sec,

ϕ = angle at which radiation scattered.

Calculation:

We know that,

\( λ'-λ=\frac{h}{m_0c}\left(1-cosϕ\right)\)

Given,

ϕ = 90∘ 

\(⇒ Δ λ = \frac{6.626\times 10^-34}{9.1\times 106-31 \times 3 \times 10^8}(1 - cos90^\circ )\)

⇒ Δλ = 0.024 Å 

Hence, the wavelength will be  0.024 Å.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...