Cesium has a binding energy (“work function”) of 1.8 eV. When cesium is illuminated with a...

Cesium has a binding energy (“work function”) of 1.8 eV. When cesium is illuminated with a light of a certain wavelength, the electrons ejected from the surface have a kinetic energy of 2.2 eV. What is the wavelength (nm) of the light?

Solutions

Expert Solution

Given work function = 1.8 ev = 1.8*1.6*10-19 = 2.88*10-19 J

Kinetic energy K = 2.2 ev = 2.2*1.6*10-19 = 3.52 *10-19 J

By using formula total energy E = + K

hc/ = + K (where h = Planck's constant = 6.62*10-34 Js & c = velocity of light = 3*108m/s & = wevelength)

6.62*10-34 * 3*108 / = 2.88*10-19 + 3.52 *10-19

19.86 *10-26 / = 6.4*10-19

19.86 *10-26 = 6.4*10-19 *

= 19.86 *10-26 /6.4*10-19

= 3.103 *10-7

= 310.3 *10-9 m

or = 310.3 nm .......................................Ans

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

1. The binding energy of the photoelectrons of a surface is 1.8 eV. Blue light of...

1. The binding energy of the photoelectrons of a surface is 1.8 eV. Blue light of wavelength 4.8 x 10^-7 m falls on the surface. Find a) kinetic energy of the ejected photoelectrons in eV, b) the voltage required to stop the photoelectrons from leaving the surface.

Barium has a work function of 2.48 eV. What is the maximum kinetic energy of electrons...

Barium has a work function of 2.48 eV. What is the maximum kinetic energy of electrons if the metal is illuminated by UV light of wavelength 420 nm? eV What is their speed? m/s

The work function for nickel is 5.15 eV. (a) Convert the value of the work function...

The work function for nickel is 5.15 eV. (a) Convert the value of the work function from electron volts to joules. J (b) Find the cutoff frequency for nickel. Hz (c) What maximum wavelength of light incident on nickel releases photoelectrons from the nickel's surface? nm (d) If light of energy 7.12 eV is incident on nickel, what is the maximum kinetic energy of the ejected photoelectrons? Give the answer in electron volts. eV (e) For photons of energy 7.12...

Consider a neutral metal with a work function of 2.0 eV ( 1 eV = 1.602...

Consider a neutral metal with a work function of 2.0 eV ( 1 eV = 1.602 10^-19 J). The metal absorbs a photon of wavelength 200 nm. a) Could an electron be ejected? If so, what would the speed of the electron be? b) What is the speed of an electron with a wavelength of 10 nm? c)If we measure the momentum of the electron from part b) to within 1% uncertainty ( p=p = 1% ), what is the...

1. Calculate the permeability of electrons with energy of 0.1 eV and 0.5 eV respectively when...

1. Calculate the permeability of electrons with energy of 0.1 eV and 0.5 eV respectively when penetrating a positional energy barrier of 1.0 eV in height and 100 pm in length by tunnel phenomenon. k Attachment image=[2m(V-E)]^1/2 T={1+(e^kL-e^-kL)^2/16ε(1-ε)}^-1 (ε= E/V) 2. Explain the meaning of tunneling covered in the above problem with the wave and explain the difference between classical and quantum mechanics based on it.

what is the kinetic energy of the emitted electrons when cesium is exposed to uv rays...

what is the kinetic energy of the emitted electrons when cesium is exposed to uv rays of frequency of 1.2 x 10^15 hz? Express your answer in joules to three significant figures.

USING CONSERVATION OF ENERGY AND WORK ENERGY PRINCIPLE: A block of mass m=1.8 kg on a...

USING CONSERVATION OF ENERGY AND WORK ENERGY PRINCIPLE: A block of mass m=1.8 kg on a table is pushed against a spring that has a force constant of k=250 N/m, compressing it 20 cm (the block is not attached to the spring). The block is then released, and the spring pushes the block to move to the right. The coefficient of kinetic friction between the block and the table is 0.45. (a) Find the distance the block will travel before...

62Ni has the largest known binding energy per nucleon. Calculate the binding energy for the complete...

62Ni has the largest known binding energy per nucleon. Calculate the binding energy for the complete nucleus in kJ/mol and MeV and the binding energy per nucleon in MeV/nucleon given mNi-62 = 61.9283451 amu, mp = 1.00727647 amu, mn = 1.00866492 amu, and 1 amu = 1.6605387310-27 kg. E = ___________________ kJ/mol = ____________________ MeV E/nucleon = ____________________ MeV/nucleon

2Ni has the largest known binding energy per nucleon. Calculate the binding energy for the complete...

2Ni has the largest known binding energy per nucleon. Calculate the binding energy for the complete nucleus in kJ/mol and MeV and the binding energy per nucleon in MeV/nucleon given mNi-62 = 61.9283451 amu, mp = 1.00727647 amu, mn = 1.00866492 amu, and 1 amu = 1.6605387310-27 kg. E = ___________________ kJ/mol = ____________________ MeV E/nucleon = ____________________ MeV/nucleon

Photons, electrons and atoms: The work function ( ) of electrons in sodium is 2.28 eV....

Photons, electrons and atoms: The work function ( ) of electrons in sodium is 2.28 eV. b. What total momentum ?(?,) (formula) is transferred to the metal surface when a photon is incident vertically and the photoelectron is emitted in the opposite direction? c. Assume that a (resting) free electron could completely absorb a photon. What wavelength would the photon have to have in order for the momentum balance to be fulfilled in this case as well? Use the so-called...

Subjects