What is the largest wavelength photon that could remove an electron from a metal

Question

What is the largest wavelength photon that could remove an electron from a metal that has a work function of 4.0 ev? 88 nm 310 nm 3.2 nm 0.052 nm 27 nm 236 nm Consider a double slit experiment using photons. When we have knowledge of which slit each photon goes through a diffraction pattern appears on the screen. the photons interfere with each other like waves. no diffraction pattern appears on the screen. The photons act like particles. nothing happens, since you can't use photons in a double slit experiment. the screen catches on fire. Consider an electron in the ground state in a hydrogen atom. What is the smallest wavelength photon that the atom may absorb to make the electron a free particle? 365 nm 1240 nm 122 nm 28 nm 91 nm Consider an electron in the n = 4 state in a hydrogen atom. What is the largest wavelength photon that the atom may emit? 525 nm 4052 nm 818 nm 1879 nm 38 nm

Explanation / Answer

here,

6)

the work function , phi = 4 eV

let the largest wavelength be lamda

phi = h * c /(lamda * e )

4 = 6.634 * 10^-34 * 3 * 10^8 /( lamda * 1.6 * 10^-19)

solving for lamda

lamda = 3.10 * 10^-7 m

lamda = 310 nm

the largest wavelength is B) 310 nm

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