1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zloy xaker [14]
3 years ago
5

If the work function of a material is such that red light of wavelength 700 nm just barely initiates the photoelectric effect, w

hat must the maximum kinetic energy of ejected electrons be when violet light of wavelength 400 nm illuminates the material?
Express your answer with the appropriate units.

Kmax = J
Physics
1 answer:
Mumz [18]3 years ago
4 0

Answer: 2.13(10)^{-19} J

Explanation:

The photoelectric effect consists of the emission of electrons (electric current) that occurs when light falls on a metal surface under certain conditions.  

If the light is a stream of photons and each of them has energy, this energy is able to pull an electron out of the crystalline lattice of the metal and communicate, in addition, a kinetic energy.  

<u>This is what Einstein proposed:  </u>

Light behaves like a stream of particles called photons with an energy  E

E=h.f (1)

Where:

h=6.63(10)^{-34}J.s is the Planck constant  

f is the frequency

Now, the frequency has an inverse relation with the wavelength \lambda:  

f=\frac{c}{\lambda} (2)  

Where c=3(10)^{8}m/s is the speed of light in vacuum  and \lambda=400nm=400(10)^{-9}m is the wavelength of the absorbed photons in the photoelectric effect.

Substituting (2) in (1):

E=\frac{h.c}{\lambda} (3)

So, the energy E of the incident photon must be equal to the sum of the Work function \Phi of the metal and the maximum kinetic energy K_{max} of the photoelectron:  

E=\Phi+K_{max} (4)  

Rewriting to find K_{max}:

K_{max}=E-\Phi (5)

Where \Phi is the minimum amount of energy required to induce the photoemission of electrons from the surface of a metal, and its value depends on the metal:

\Phi=h.f_{o}=\frac{h.c}{\lambda_{o}} (6)

Being \lambda_{o}=700nm=700(10)^{-9}m the threshold wavelength (the minimum wavelength needed to initiate the photoelectric effect)

Substituting (3) and (6) in (5):  

K_{max}=\frac{h.c}{\lambda}-\frac{h.c}{\lambda_{o}}

K_{max}=h.c(\frac{1}{\lambda}-\frac{1}{\lambda_{o}}) (7)

Substituting the known values:

K_{max}=(6.63(10)^{-34}J.s)(3(10)^{8}m/s)(\frac{1}{400(10)^{-9}m}-\frac{1}{700(10)^{-9}m})

K_{max}=2.13(10)^{-19} J >>>>>This is the maximum kinetic energy that ejected electrons must have when violet light illuminates the material

You might be interested in
Which simple machine belongs to the inclined plane family
Vlad [161]
The wedge and screw simple machines
3 0
3 years ago
Is the bike rider in the picture above demonstrating kinetic energy or potential energy? you need to explain your answer.
soldi70 [24.7K]

Answer:

Kinetic energy

Explanation:

Kinetic energy is a function of velocity. Since the rider is moving at a certain speed, he's demonstrating kinetic energy. It can't be potential energy because potential energy encompass mgh

4 0
3 years ago
What is the momentum of a 1, 500 kg car traveling at 3m/s?
ruslelena [56]
4,500 kgm/s bc 1,500x3
6 0
3 years ago
Read 2 more answers
a object with a mass of 70 kilograms is supported at a height 8 meters above the ground.what's the potential energy of the objec
Agata [3.3K]
Potential Energy = mgh,

where m = mass in kg,  g ≈ 10 m/s², h = height above ground = 8 m

PE = mgh
  
      = 70*10*8 = 5600 J

7 0
3 years ago
Where is visible light located on the electromagnetic spectrum and why?
Marysya12 [62]
Radio waves, gamma-rays, visible light, and all the other parts of the electromagnetic spectrum are electromagnetic ... The different types of radiation are defined by the the amount of energy found in the photons.
5 0
3 years ago
Other questions:
  • A box with the mass of 15 kg is lifted to a shelf, how much force is needed?
    10·1 answer
  • Jack and Jill ran up the hill at 2.8 m/s . The horizontal component of Jill's velocity vector was 2.1 m/s . What was the angle o
    11·1 answer
  • What happens when a light ray passes through the focal point, and then reflects off of a convex mirror?
    14·1 answer
  • Quick Physics Question
    8·1 answer
  • An electron moves with velocity v⃗ =(5.8i−6.7j)×104m/s in a magnetic field B⃗ =(−0.81i+0.60j)T.
    7·1 answer
  • HELP WILL GIVE BRAINLIEST IF CORRECT
    14·2 answers
  • An electron is placed on a line connecting two fixed point charges of equal charge but the opposite sign. The distance between t
    7·1 answer
  • 8. Jame's mom slammed on her brakes to avoid a squirrel. The
    5·1 answer
  • PLEASE HELP!!! <br><br> i’ll mark brainliest if you’re correct
    11·1 answer
  • Because white dwarfs are small, as their name implies, they are hard to see. What is a way astronomers have to find white dwarfs
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!