(a) If the work function for a certain metal is 1.8 eV, what is the stopping potential for electrons ejected from the metal when light of wavelength 400 nm shines on the metal? (b) What is the maximum speed of the ejected electrons?

Short Answer

Expert verified
  1. The stopping potential is 1.3 eV.
  2. The maximum speed of the ejected electrons is 676 km/s.

Step by step solution

01

The expression of stopping voltage.

The expression of stopping voltage is given by,

Vstop=hef-Φe

Vstop=hcλe-Φe

….. (1)

Here, h is Planck’s constant, λis wavelength, e is charge of electron, ϕ is work function, and c is the speed of light.

02

(a) Determine the stopping potential for electrons:

Therefore, the stopping potential is 1.3 V.

03

(b) Determine the maximum speed of the ejected electrons:

It is known that,

Kmax=12mvmax2

and

Kmax=Ve

Therefore, by comparing both the above equation of kinetic energy, you get

Ve=12mvmax2vmax=2Vem

Hence, the maximum speed of the ejected electrons is 676 km/s.

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