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How do you find the work function of a metal from the threshold frequency?

How do you find the work function of a metal from the threshold frequency?

f = W/h where h is planck’s constant. Therefore if we know the work fucntion we can work out the threshold frequency but don’t forget to convert 3eV into J. 1eV = 1.6 x 10^{-19} J.

Is work function and threshold frequency the same?

The minimum frequency of the incident light at which the emission of the electrons starts is called the threshold frequency. It is different for different materials. The minimum energy necessary to initiate the photoelectric effect from the metal surface is called the work function.

What will be the work function of a substance for a threshold frequency of?

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Answer: The work function of a substance for a threshold frequency of 43.9 × 10¹³ Hz is 280.618 × 10⁻²¹J.

How photoelectric work function is related to threshold frequency?

The photoelectric work function is the threshold energy required by the radiation or photons that are incident on the surface of the metal. This can be written as that the frequency of the incoming radiation must be higher than the threshold frequency of the metal to cause the photoelectric effect.

Does work function depend on frequency?

Depends upon the frequency of incident light. Hint: The different metals consist of different values of work function because of difference in their electronegativity behaviour. Therefore the work function is that amount of energy which is required to get an electron out of the metal plate without any kinetic energy.

How do you calculate threshold frequency?

It is a characteristic of electromagnetic radiation (light in case of photoelectric emission) and not metal. The formula of threshold frequency is W= hv0. Here v0 is the photoelectric threshold frequency of the electromagnetic light rays, W is the work function of the metal body.

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How do you find the frequency of a work function?

We can relate the work function, 𝑊 , and maximum electron energy, 𝐸 m a x , given frequency, 𝑓 , using the formula 𝐸 = ℎ 𝑓 − 𝑊 m a x , where ℎ is the Planck constant.

Can the work function depends on wavelength of the incident light?

Photoelectrons can be ejected from the metal surface only when the incident radiation has a shorter wavelength than the cut-off wavelength. The work function of silver is ϕ=4.73eV (Table 6.3. 1). To make the estimate, we use Equation 6.3….The Work Function.

Metal ϕ (eV)
Cu 4.70
Ag 4.73
Pt 6.35

How do you find the threshold frequency of a threshold wavelength?

The frequency of the light for which its energy is equal to the work function is called threshold frequency ν0. Therefore, ϕ=hν0. Let us use the relation between the frequency and the wavelength of light, i.e. ν=cλ.

What is the work function of threshold frequency?

Work function is different for different metals. A photon having an energy at least equal to the work function can eject electron from the metal, frequency of such a photon whose energy is just equal to the work function is called Threshold Frequency. Work Function ; W = h ν o ; Where, ν o is Threshold Frequency

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What is the threshold frequency of metal?

Ans: The threshold frequency of metal is 4.827 x 10 14. Example – 09: The photoelectric work function of platinum is 6.3 eV and the longest wavelength that can eject photoelectron from platinum is 1972 Å.

What is the threshold frequency of a photon?

A photon having an energy at least equal to the work function can eject electron from the metal, frequency of such a photon whose energy is just equal to the work function is called threshold frequency. Electrons are, therefore, emitted only if the frequency of the photon is greater than the threshold frequency.

What is the incident frequency and threshold frequency of light?

The frequency of incident light is less than the threshold frequency. No photoelectrons will be emitted from the metal surface. Ans: The incident frequency is 4.41 x 10 14 Hz and the threshold frequency is 5.79 x 10 14 Hz, and no photoelectron will be ejected. The photoelectric work function of a metal is 3 eV.