The work function of nickel is 5 text{ eV}. W | vedclass

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(C) The stopping potential $V_0$ is related to the incident energy and work function by the Einstein's photoelectric equation: $e V_0 = K_{	ext{max}}

Vedclass · Accepted Answer

$1.25$

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(C) The stopping potential $V_0$ is related to the incident energy and work function by the Einstein's photoelectric equation: $e V_0 = K_{	ext{max}} = \frac{hc}{\lambda} - \phi$. Given: Work function $\phi = 5 	ext{ eV} = 5 	imes 1.6 	imes 10^{-19} 	ext{ J} = 8 	imes 10^{-19} 	ext{ J}$. Wavelength $\lambda = 2000 	ext{ Å} = 2 	imes 10^{-7} 	ext{ m}$. Planck's constant $h = 6.67 	imes 10^{-34} 	ext{ J-s}$. Speed of light $c = 3 	imes 10^8 	ext{ m/s}$. Calculating the energy of incident photon: $E = \frac{hc}{\lambda} = \frac{6.67 	imes 10^{-34} 	imes 3 	imes 10^8}{2 	imes 10^{-7}} = 10.005 	imes 10^{-19} 	ext{ J}$. Now,substituting into the equation: $e V_0 = 10.005 	imes 10^{-19} 	ext{ J} - 8 	imes 10^{-19} 	ext{ J} = 2.005 	imes 10^{-19} 	ext{ J}$. $V_0 = \frac{2.005 	imes 10^{-19} 	ext{ J}}{1.6 	imes 10^{-19} 	ext{ C}} \approx 1.25 	ext{ V}$.

The work function of nickel is $5 \text{ eV}$. When light of wavelength $2000 \text{ Å}$ falls on it,it emits photoelectrons. The potential difference necessary to stop the fastest emitted electrons is (given $h = 6.67 \times 10^{-34} \text{ J-s}$): (in $\text{ V}$)

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