Assuming that the work function of the surface can be neglected- find the relation between the de-Broglie wavelength - of the electrons emitted to the energy E- of the incident photons- Draw the nature of the graph for - as a function of E-

Since work function is neglected, hence all the energy imparted by photons to electrons #160;comes as kinetic energy. Let the kinetic energy of electrons be ...

You visited us 3 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

I vs V - Varying Frequency

Assuming that...

Question

Assuming that the work function of the surface can be neglected, find the relation between the de-Broglie wavelength ( $λ$ ) of the electrons emitted to the energy ( $E_{υ}$ ) of the incident photons. Draw the nature of the graph for $λ$ as a function of ( $E_{υ}$ ).

Open in App

Solution

Since work function is neglected, hence all the energy imparted by photons to electrons comes as kinetic energy. Let the kinetic energy of electrons be
$K = \frac{1}{2} m v^{2} = E o r v = \sqrt{\frac{2 E}{m}} o r m v = \sqrt{2 E m} T h u s, λ = \frac{h}{m v} = \frac{h}{\sqrt{2 E m}}$

Suggest Corrections

Similar questions

Q. X- rays of wavelength

λ

falls on a photosensitive surface emitting electrons.Assuming that the work function of the surface can be neglected, prove that the de Broglie wavelength of electrons emitted will be

\sqrt{\frac{h λ}{2 m c}}

Q. An electromagnetic wave of wavelength

λ

is incident on a photosensitive surface of negligible work function. If

m

is mass of the photo-electron emitted from the surface and has de-Broglie wavelength

λ_{d}

, then -

Q. The electron with The electron with de Broglie wavelength

λ

is bombarded on a metal target. Found that photons are emitted through de Broglie wavelength.

Q. An electromagnetic wave of wavelength

λ

is incident on a photosensitive surface of negligible work function. If the photoelectrons emitted from this surface have the de Brogue wavelength

λ^{'}

, then

Q. A photon of energy 2.5 eV and wavelength

^{'} λ^{'}

falls on a metal surface and the ejected electrons have maximum velocity

^{'} v^{'}

. If the

^{'} λ^{'}

of the incident light is decreased by 20%, the maximum velocity of the emitted electrons is doubled. The work function of the metal is :

Join BYJU'S Learning Program

Assuming that the work function of the surface can be neglected, find the relation between the de-Broglie wavelength (λ) of the electrons emitted to the energy (Eυ) of the incident photons. Draw the nature of the graph for λ as a function of (Eυ).

Since work function is neglected, hence all the energy imparted by photons to electrons comes as kinetic energy. Let the kinetic energy of electrons be K=12mv2=Eorv=√2Emormv=√2EmThus,λ=hmv=h√2Em

Assuming that the work function of the surface can be neglected, find the relation between the de-Broglie wavelength ( $λ$ ) of the electrons emitted to the energy ( $E_{υ}$ ) of the incident photons. Draw the nature of the graph for $λ$ as a function of ( $E_{υ}$ ).

Since work function is neglected, hence all the energy imparted by photons to electrons comes as kinetic energy. Let the kinetic energy of electrons be
$K = \frac{1}{2} m v^{2} = E o r v = \sqrt{\frac{2 E}{m}} o r m v = \sqrt{2 E m} T h u s, λ = \frac{h}{m v} = \frac{h}{\sqrt{2 E m}}$