Relationship between λ and max kinetic energy

Click For Summary
SUMMARY

The relationship between wavelength (λ) and maximum kinetic energy (KE) of emitted electrons is defined by the photoelectric effect. When light of wavelength 0.5λ is used, the maximum kinetic energy of electrons is E. Using light of wavelength 0.25λ results in a maximum kinetic energy of 3E. This is due to the inverse proportionality of kinetic energy to wavelength, confirming that as wavelength decreases, kinetic energy increases significantly.

PREREQUISITES
  • Understanding of the photoelectric effect
  • Knowledge of the relationship between wavelength and energy
  • Familiarity with kinetic energy equations
  • Basic principles of quantum mechanics
NEXT STEPS
  • Study the photoelectric effect in detail
  • Learn about Planck's equation and its implications
  • Explore the concept of photon energy and its relation to wavelength
  • Investigate experimental setups for measuring kinetic energy of emitted electrons
USEFUL FOR

Physics students, educators, and researchers interested in quantum mechanics and the photoelectric effect will benefit from this discussion.

desmond iking
Messages
284
Reaction score
2

Homework Statement


When lights falls on metal suface , electrons are emitted if the wavelength of light is less than or equal to λ , .If lights of 0.5λ is used , then maximum kinetic energy of electrons is E . if lights of 0.25λ is used , what's the maximum kinetic energy of the electron emitted?
the ans is 3E... why?

Homework Equations

The Attempt at a Solution


since E is inversely propotional to λ , so my ans is 2E ...[/B]
 
Physics news on Phys.org
3E is correct. Show your working in full.

Note carefully that E is defined as max KE at a particular λ .
 

Similar threads

Replies
8
Views
2K
Replies
1
Views
5K
  • · Replies 11 ·
Replies
11
Views
2K
  • · Replies 35 ·
2
Replies
35
Views
4K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
2
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 7 ·
Replies
7
Views
1K
  • · Replies 7 ·
Replies
7
Views
3K