A Sheet Of Silver Is Illuminated By Monochromatic Ultraviolet Radiation Of Wavelength 1810 Å. What Is The Maximum Energy Of The Emitted Electrons? The Threshold Wavelength For Silver Is 2640 Å. 

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Question

A sheet of silver is illuminated by monochromatic ultraviolet radiation of wavelength 1810 Å. What is the maximum energy of the emitted electrons? The threshold wavelength for silver is 2640 Å. 

Solution

Correct option is

2.16 eV

If v be the frequency of radiation illuminating the surface and v0 the threshold frequency, then according to Einstein’s photoelectric equation, the maximum kinetic energy of the emitted electrons is 

         

If  be the wavelength of the incident light and , the threshold wavelength, then   

                        

Substituting the given values of hc and . We have 

                                                                   

             

               

             

             

             = 2.16 eV.   

SIMILAR QUESTIONS

Q1

A 5-W point-source emits monochromatic light of wavelength 5000 Å. How many photons per second strike a unit area placed 5 m away from the source and illuminated by it? What should be the work function of the metal from whose surface this light can liberate photoelectrons? 

  

Q2

The wavelength of a photon is 1.4 Å. It becomes 2.0 Å after a collision with an electron. Calculate the energy of the scattered electron. 

  

Q3

Find the moment and equivalent mass of a photon of radiation of wavelength 3300 Å. 

Q4

An isolated hydrogen atom emits a photon of energy 10.2 eV. Calculate momentum of the photon. 

Q5

Light of wavelength 3500 Å is incident on two metals A and B. Which metal will emit photoelectrons, if their work functions are 4.2 eV and 1.9 eV respectively? 

Q6

A light beam of wavelength 6000 Å and intensity  falls normally on a photon-cathode of surface area 1 cm2 and work function 2 eV. Assuming that there is no loss of light by reflection etc., calculate the number of photoelectrons emitted per second. 

Q7

When a beam of 10.6-eV photons of intensity 2.0 Wm–2 falls on a platinum surface of area  and work function 5.6 eV, 0.53% of the incident photons eject photoelectrons. Find the number of photoelectrons emitted per second and their minimum and maximum energies (in eV). Take . 

Q8

The work function for cesium is 1.8 eV. Light of 5000 Å is incident on it. Calculate maximum velocity of the emitted electrons.

Q9

If photoelectrons are to be emitted from a potassium surface with a speedof , what frequency of radiation must be used? The threshold frequency for potassium is 

Q10

The work function for the surface of aluminium is 4.2 eV. How much potential difference will be required to stop the emission of maximum-energy electrons emitted by light of 2000 Å wavelength?