A stream of electrons from a heated filament was passed between two charged plates kept at a potential difference V esu. If e and m are charge and mass of an electron, respectively, then the value of h/ λ (where λ is wavelength associated with electron wave) is given by :

Question

A stream of electrons from a heated filament was passed between two charged plates kept at a potential difference V esu. If e and m are charge and mass of an electron, respectively, then the value of h/ λ (where λ is wavelength associated with electron wave) is given by : (A) meV (B) 2 meV (C) √meV (D) √ 2 meV

Tardigrade Admin · Accepted Answer

λ = (h/P) = (h/√2mE) = (h/√2me V) ⇒ (h/λ) = √2me V

Q. A stream of electrons from a heated filament was passed between two charged plates kept at a potential difference $V$ esu. If $e$ and $m$ are charge and mass of an electron, respectively, then the value of $h / λ$ (where $λ$ is wavelength associated with electron wave) is given by :

$m e V$

$2 m e V$

$m e V$

$2 m e V$

$λ = \frac{h}{P} = \frac{h}{2 m E} = \frac{h}{2 m e V}$

$\Rightarrow \frac{h}{λ} = 2 m e V$

Q. A stream of electrons from a heated filament was passed between two charged plates kept at a potential difference V esu. If e and m are charge and mass of an electron, respectively, then the value of h/λ (where λ is wavelength associated with electron wave) is given by :

meV

2meV

meV​

2meV​

λ=Ph​=2mE​h​=2meV​h​ ⇒λh​=2meV​

Q. A stream of electrons from a heated filament was passed between two charged plates kept at a potential difference $V$ esu. If $e$ and $m$ are charge and mass of an electron, respectively, then the value of $h / λ$ (where $λ$ is wavelength associated with electron wave) is given by :

$m e V$

$2 m e V$

$m e V$

$2 m e V$

$λ = \frac{h}{P} = \frac{h}{2 m E} = \frac{h}{2 m e V}$

$\Rightarrow \frac{h}{λ} = 2 m e V$