The work function of a photosensitive material is 4.0 eV. The longest wavelength of light that can cause photon emission from the substance is (approximately)

  1. 31 nm
  2. 310 nm
  3. 3100 nm
  4. 966 nm

Answer (Detailed Solution Below)

Option 2 : 310 nm
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Detailed Solution

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CONCEPT:

The work function is written as;

\(ϕ = \frac{hc}{λ}\)

Here we have h is the Planck's constant, c is the velocity of light and λ is the wavelength.

CALCULATION:

Given: ϕ = 4.0 eV

As we know, hc = 1240 × 10-9 eV-m

Now, \(ϕ = \frac{hc}{λ}\)   ----(1)

On putting the values in equation values we have;

\(4.0 = \frac{1240}{λ}\times{10^{-9}}\)

⇒ λ = 310 nm

Hence, option 2) is the correct answer.

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