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Light with a wavelength of 370nm shines on a metal surface, which emits electrons. The stopping potential is measured to be 1.06V Calculate the work function. answer in eV
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The stopping potential is  V0   = 1.06 V

K.E = eV0

1 / 2 mv 2    = eV0

v = ? 2 e V0 / m

= ? 2 ( 1.6*10-19 C ) * 1.06 V /9.11*10-31 kg

= 6.1*105 m/s

b )    E = W + K.E

h c/  ?    = W + K.E

Kinetic Energy K. E = 1/ 2 mv2

= 1 /2 * 9.11*10-31 kg * ( 6.1*105 m/s)2

= 1.695*10-19 J

= 1.695 *10-19 J / 1.6*10-19 C

= 1.06 e V

h c/  ?    = W + K.E

6.625*10-34J s * 3*108 m/s   / (370*10-9 m * 1.6 * 10-19 C) = W + 1.06 e V

3.357 eV = W + 1.06 eV

Work function W   =2.297 e V
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