Page 251 - Physics Form 5 KSSM_Neat
P. 251

Problem Solving Using Einstein's Photoelectric Equation                                      CHAPTER 7


                                                                                    LET’S ANSWER
             Example         1                                                      LET’S ANSWER         Quantum Physics

              A blue light with a frequency of 6.67 × 10  Hz is shone on a clean
                                                   14
              caesium metal surface. What is the maximum kinetic energy of
              KEMENTERIAN PENDIDIKAN MALAYSIA
              photoelectrons emitted?
                                                –19
                                                                              –34
              [Work function of caesium = 3.43 × 10  J, Planck’s constant = 6.63 × 10  J s]  https://bit.
                                                                                      ly/2YwWUsj
                Solution

               Step 1:          Step 2:           Step 3:           Step 4:
               Identify the     Identify the      Identify the      Solve the problem
               problem          information given  formula to be used  numerically


               1  Maximum kinetic energy of the    3  hf = W + K
                                                               max
                 photoelectron, K
                               max
                                                              –34
                                                   4  (6.63 × 10 )(6.67 × 10 ) = 3.43 × 10  + K
                                                                         14
                                                                                    –19
                                     14
               2  Frequency, f = 6.67 × 10  Hz                                            max
                                                                   –19
                                                                              –19
                                          –19
                  Work function, W = 3.43 × 10  J     K max   = 4.42 ×10  − 3.43 × 10
                                                                   –20
                  Planck's constant, h = 6.63 × 10  J s        = 9.92 × 10  J
                                           –34
             Example        2


              Figure 7.14 shows the change in kinetic energy of   K / eV
              photoelectrons released from lithium for different light
              frequencies. Determine the threshold frequency from   2.0
              the graph and calculate the work function of lithium.  1.8
              [Planck's constant, h = 6.63 × 10  J s]           1.6
                                           –34
                                                                1.4
                Solution                                        1.2
                                                                1.0
              Threshold frequency, f  = 5.6 × 10  Hz            0.8
                                            14
                                 0
              Planck’s constant, h = 6.63 × 10  J s             0.6
                                          –34
              Work function,  W = hf 0                          0.4
                               = (6.63 × 10 ) (5.6 × 10 )       0.2
                                                     14
                                          –34
                               = 3.71 × 10  J                     0
                                         –19
                                                                     1  2  3  4  5  6  7  8  9 10
                                                                                          f / 10  Hz
                                                                                              14
                                                                             Figure 7.14

             LS     7.3.4                                                                     241
   246   247   248   249   250   251   252   253   254   255   256