Modern Physics 2 Question 22

21. The graph between 1/λ and stopping potential (V) of three metals having work functions φ1,φ2 and φ3 in an experiment of photoelectric effect is plotted as shown in the figure. Which of the following statement(s) is/are correct? (Here, λ is the wavelength of the incident ray).

(2006,5 M)

(a) Ratio of work functions φ1:φ2:φ3=1:2:4

(b) Ratio of work functions φ1:φ2:φ3=4:2:1

(c) tanθ is directly proportional to hc/e, where h is Planck’s constant and c is the speed of light

(d) The violet colour light can eject photoelectrons from metals 2 and 3

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Solution:

  1. From the relation,

eV=hcλφ or V=hce1λφe

This is equation of straight line.

Slope is tanθ=hce

φ1:φ2:φ3=hcλ01:hcλ02:hcλ03

=1λ01:1λ02:1λ03=1:2:4

1λ01=0.001nm1 or λ01=10000\AA

1λ02=0.002nm1 or λ02=5000\AA

1λ03=0.004nm1 or λ03=2500\AA

Violet colour has wavelength 4000\AA.

So, violet colour can eject photoelectrons from metal-1 and metal-2.



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