Calculate the threshold wavelength, in nm, of a metal if that metal emits an electron with a kinetic energy of 6.32 x 10-19 J when illuminated with light that has a frequency of 1.97 x 1015 Hz.
KE=hcλ−WoKE=\dfrac{hc}{\lambda}-W_oKE=λhc−Wo
Wo=hν−KEW_o=h\nu-KEWo=hν−KE
Wo=(6.63×10−34×1.97×1015)−(6.32×10−19)W_o=(6.63\times10^{-34}\times1.97\times10^{15})-(6.32\times10^{-19})Wo=(6.63×10−34×1.97×1015)−(6.32×10−19)
Wo=6.74×10−19 JW_o=6.74\times10^{-19}\space JWo=6.74×10−19 J
For threshold wavelength(λ)(\lambda)(λ) ,
hcλ=Wo\dfrac{hc}{\lambda}=W_oλhc=Wo
λ=hcWo=6.63×10−34×3×1086.74×10−19\lambda=\dfrac{hc}{W_o}=\dfrac{6.63\times10^{-34}\times3\times10^8}{6.74\times10^{-19}}λ=Wohc=6.74×10−196.63×10−34×3×108
λ=2.95×10−7 m\lambda=2.95\times10^{-7}\space mλ=2.95×10−7 m
λ=295 nm\lambda=295\space nmλ=295 nm
Need a fast expert's response?
and get a quick answer at the best price
for any assignment or question with DETAILED EXPLANATIONS!
Comments