If the work function of the target material is 1.25 eV and the wavelength of the incident radiation is 2460 Å the stopping potential required to stop the emitted electrons is: (Given: $h = 6.6 × 10^{-34} Js$) |
1.75 V 2.75 V 3.75 V 5.75 V |
3.75 V |
The correct answer is Option (3) → 3.75 V Given: Work function: $W = 1.25\ \text{eV}$ Wavelength: $\lambda = 2460\ \text{Å} = 2460 \times 10^{-10}\ \text{m} = 2.46 \times 10^{-7}\ \text{m}$ Photon energy: $E = \frac{hc}{\lambda}$ $E = \frac{12400}{2460}\ \text{eV}$ (using $hc = 12400\ \text{eVÅ}$) $E = 5.04\ \text{eV}$ Kinetic energy of emitted electron: $K.E. = E - W = 5.04 - 1.25 = 3.79\ \text{eV}$ Stopping potential: $V_0 = K.E./e = 3.79\ \text{V}$ Answer: $V_0 = 3.79\ \text{V}$ |