PhysicsThe maximum velocity of an electron emitted by light of wavelength λ incident on the surface of a metal of work function Φ is …. ,where h = Planck’s constant, m = mass of electron and c = speed of light

The maximum velocity of an electron emitted by light of wavelength $λ$ incident on the surface of a metal of work function $Φ$ is .... ,where h = Planck’s constant, m = mass of electron and c = speed of light

A
$[\frac{2 (h c - λ ϕ)}{m λ}]$
B
$\frac{2 (h c - λ ϕ)}{m}$
C
${[\frac{2 (h c - λ ϕ)}{m λ}]}^{1 / 2}$
D
${[\frac{2 (h c λ - ϕ)}{m}]}^{1 / 2}$

Solution:

$E = ϕ + \frac{1}{2} m v^{2}$

$\frac{hc}{λ} = ϕ + \frac{1}{2} {mv}^{2}$

$v = {[\frac{2 (h c - λ ϕ)}{m λ}]}^{1 / 2}$

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The maximum velocity of an electron emitted by light of wavelength $λ$ incident on the surface of a metal of work function $Φ$ is .... ,where h = Planck’s constant, m = mass of electron and c = speed of light

Solution:

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