The work function of sodium metal is 4.41× 10- 19J . If photons of wavelength 300 nm are incident on the metal, the kinetic energy of the ejected electrons will be (h = 6 . 63 × 10- 34 J s ; c = 3 × 108 m / s) × 10- 21J .

Question

The work function of sodium metal is 4.41× 10- 19J . If photons of wavelength 300 nm are incident on the metal, the kinetic energy of the ejected electrons will be (h = 6 . 63 × 10- 34 J s ; c = 3 × 108 m / s) × 10- 21J . (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

φ=4.41× 10- 19J λ =300 nm KE max=(hc/λ )-φ =(6 . 63 × 10- 34 × 3 × 108/300 × 10- 9)-4.41× 10- 19 =6.63× 10- 19-4.41× 10- 19 =222× 10- 21J

Q. The work function of sodium metal is $4.41 \times 1 0^{- 19} J$ . If photons of wavelength $300 nm$ are incident on the metal, the kinetic energy of the ejected electrons will be $(h = 6.63 \times 1 0^{- 34} J s; c = 3 \times 1 0^{8} m / s)$ _______ $\times 1 0^{- 21} J$ .

$ϕ = 4.41 \times 1 0^{- 19} J$
$λ = 300 nm$
$K E_{m a x} = \frac{h c}{λ} - ϕ$
$= \frac{6.63 \times 1 0 ^{- 34} \times 3 \times 1 0 ^{8}}{300 \times 1 0 ^{- 9}} - 4.41 \times 1 0^{- 19}$
$= 6.63 \times 1 0^{- 19} - 4.41 \times 1 0^{- 19}$
$= 222 \times 1 0^{- 21} J$

Q. The work function of sodium metal is 4.41×10−19J . If photons of wavelength 300nm are incident on the metal, the kinetic energy of the ejected electrons will be (h=6.63×10−34Js;c=3×108m/s) _______ ×10−21J .

ϕ=4.41×10−19J λ=300nm KEmax​=λhc​−ϕ =300×10−96.63×10−34×3×108​−4.41×10−19 =6.63×10−19−4.41×10−19 =222×10−21J

Q. The work function of sodium metal is $4.41 \times 1 0^{- 19} J$ . If photons of wavelength $300 nm$ are incident on the metal, the kinetic energy of the ejected electrons will be $(h = 6.63 \times 1 0^{- 34} J s; c = 3 \times 1 0^{8} m / s)$ _______ $\times 1 0^{- 21} J$ .

$ϕ = 4.41 \times 1 0^{- 19} J$
$λ = 300 nm$
$K E_{m a x} = \frac{h c}{λ} - ϕ$
$= \frac{6.63 \times 1 0 ^{- 34} \times 3 \times 1 0 ^{8}}{300 \times 1 0 ^{- 9}} - 4.41 \times 1 0^{- 19}$
$= 6.63 \times 1 0^{- 19} - 4.41 \times 1 0^{- 19}$
$= 222 \times 1 0^{- 21} J$