What is the de Broglie wavelength associated with an electron accelerated through a potential difference of?

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The following graph shown the variation of stopping potential V0 with the frequency v of the incident radiation for two photosensitive metals P and Q:

What is the de Broglie wavelength associated with an electron accelerated through a potential difference of?

(i) Explain which metal has smaller threshold wavelengths.(ii) Explain, giving reason, which metal emits photoelectrons having smaller kinetic energy.

(iii) If the distance between the light source and metal P is doubled, how will the stopping potential change? 

(i) Suppose the frequency of incident radiations of metal Q and P be v0 and v0

’ respectively.
                

What is the de Broglie wavelength associated with an electron accelerated through a potential difference of?

                 
What is the de Broglie wavelength associated with an electron accelerated through a potential difference of?

                 
What is the de Broglie wavelength associated with an electron accelerated through a potential difference of?

              
What is the de Broglie wavelength associated with an electron accelerated through a potential difference of?
Therefore,  metal 'Q' has smaller wavelength.(ii) As we know,

E = hv0


What is the de Broglie wavelength associated with an electron accelerated through a potential difference of?
Hence, metal 'P' has smaller kinetc energy.

(iii) Stopping potential remains unaffected because the value of stopping potential for a given metal surface does not depend on the intensity of the incident radiation. It depends on the frequency of incident radiation.

What is the de Broglie wavelength associated with an electron accelerated through a potential difference of?

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What is the de Broglie wavelength associated with an electron accelerated through a potential difference of?

CONCEPT:

  • de-Broglie wavelength:  The wavelength that is associated with an object in relation to its momentum and mass is known as de Broglie wavelength. 
  • The de-Broglie wavelength of an electron is given by 

λ = h/ √ 2mev

  • here. λ is the wavelength of an electron.

h = 6.63 x 10-34

me = mass of an electron

v = potential difference

What is the de Broglie wavelength associated with an electron accelerated through a potential difference of?

EXPLANATIONS:

we know 

Plancks constant (h) = 6.63 x 10-34.

Volt = 100 v

Mass of electron (me ) = 9.1 x 10-31..

Putting all these values in  λ = h/√ 2mev

6.63 x 10-34/√ 2 x 9.1 x 10-31  x  100

0.123 nm

Option 1 is correct.

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