When light of wavelength equal to 364 nm strikes a metal, the kinetic energy of the...

When light of wavelength equal to 364 nm strikes a metal, the kinetic energy of the ejected electron is 4.12 × 10-19 J. What is the work function of the metal?

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Expert Solution

Hi,

The given values are Wave length = 364nm

KE of ejected electron is = 4.1210^-19 J

Now form the Photo electric effect its given that

h = + KE ( = work function, = frequency, = c/, h= plank's constant =6.626 10^-34 Js^-1 )

= (3.010⁸ cm/s)/ 364 10^-9 cm

= 8.2417 10¹⁴ s^-1

Now, substitute in the above equation,

6.626 10^-34 Js^-1 8.2417 10¹⁴ s^-1= + 4.12 10^-19 J (given)

54.609 10^-20 J = + 4.12 10^-19 J

= 54.609 10^-20 J - 41.2 10^-20 J

= 13.409 10^-20 J

Therefore the workfunction of metal is 13.409 10^-20 J.

queen_honey_blossom answered 1 year ago

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