For same energy, find the ratio of λ text photon and λ text electron (Here m is mass of electron)

Question

For same energy, find the ratio of λ text photon and λ text electron (Here m is mass of electron) (A) c √(2 m/E) (B) (1/c) √(2 m/E) (C) (1/c2) √(2 m/E) (D) (1/c) √(2 m/E2)

Tardigrade Admin · Accepted Answer

Energy of photon =(h c/λP) λP=(h c/E) λe=(h/√2 m E) (λP/λθ)=c √(2 m/E)

Q. For same energy, find the ratio of $λ_{photon}$ and $λ_{electron}$ (Here $m$ is mass of electron)

$c \frac{2 m}{E}$

$\frac{1}{c} \frac{2 m}{E}$

$\frac{1}{c ^{2}} \frac{2 m}{E}$

$\frac{1}{c} \frac{2 m}{E ^{2}}$

Energy of photon $= \frac{h c}{λ _{P}}$
$λ_{P} = \frac{h c}{E}$
$λ_{e} = \frac{h}{2 m E}$
$\frac{λ _{P}}{λ _{θ}} = c \frac{2 m}{E}$

Q. For same energy, find the ratio of λphoton ​ and λelectron ​ (Here m is mass of electron)

cE2m​​

c1​E2m​​

c21​E2m​​

c1​E22m​​