Class 11 Chemistry - Chapter Structure of Atom NCERT Solutions | The work function for caesium atom is 1.

Welcome to the NCERT Solutions for Class 11th Chemistry - Chapter Structure of Atom. This page offers a step-by-step solution to the specific question from Exercise 1, Question 51: the work function for caesium atom is 1 9 ev calc....
Question 51

The work function for caesium atom is 1.9 eV. Calculate

(a) the threshold wavelength and

(b) the threshold frequency of the radiation. If the caesium element is irradiated with a wavelength 500 nm, calculate the kinetic energy and the velocity of the ejected photoelectron.

Answer

A) Work function of caesium (WO) = hvo

Therefore vo = WO/h = 1.9 x1.602 x10-19 / 6.626x10-34

= 4.59x1014/sec

 

B) λo =c/vo = 3x10/ 4.59x1014 = 6.54x10-7m

 

C) K.E of ejected electron = h(v-vo) = hc(1/λ – 1/ λo)

=(6.626x3x10-26) (1/500x10-9 – 1/654x10-9)

=(6.626x3x10-26) / 10-9(154/500x654)

= 9.36x10-20J

k.E = 1mv2/2 = 9.36x10-20J

=9.1x10-31/2 = 9.36x10-20J

Or

v2 = 20.55x1010m2s-2

Or

v = 4.53x105ms-1

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