$1$A researcher performs an experiment on photo-electric effect using two metals A and B with unknown work functions. She illuminates the surfaces of A and B with monochromatic radiation of various frequencies and records the value of corrosponding stopping potentials $\displaystyle \left(\mathrm{V}_{\mathrm{s}}\right)$. The graph shows the variation of stopping potential $\displaystyle \left(\mathrm{V}_{\mathrm{s}}\right)$ with the frequency of incident radiation ( $\displaystyle \mathrm{v}$ ) for metals A and B. 2026_CBSE_Physics_Set_Region1_Subset_Set1_Q30___p12_24

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Answer the following questions : (I) From the graph, the work functions of A and B are (h is Planck's constant and e value of charge on an electron) (A) $\displaystyle \mathrm{v}_{1}$ and $\displaystyle \mathrm{v}_{2}$ (B) $\displaystyle \mathrm{V}_{1}$ and $\displaystyle \mathrm{V}_{2}$ (C) $\displaystyle \mathrm{h} \mathrm{v}_{1}$ and $\displaystyle \mathrm{h} \mathrm{v}_{2}$ (D) $\displaystyle \frac{\mathrm{h} \mathrm{v}_{1}}{\mathrm{e}}$ and $\displaystyle \frac{\mathrm{h} \mathrm{v}_{2}}{\mathrm{e}}$ (II) For radiation of frequency $\displaystyle \mathrm{v}>\mathrm{v}_{2}$ incident on the surfaces of A and B, the maximum kinetic energy of ejected electron is (A) greater for metal A because it has a smaller work function. (B) greater for metal B because it has a larger work function. (C) greater for metal B because it has higher threshold frequency. (D) the same for both metal A and metal B because it is independent of work functions of metals. (III) If the intensity of the incident radiation for both metals A and B, is doubled keeping its frequency constant, then (A) the slope of the parallel lines will increase. (B) the slope of the parallel lines will decrease. (C) the threshold frequencies for both A and B will decrease. (D) the slope of the parallel lines will not change but more electrons will be emitted per second. (IV) The threshold frequency for a metal surface is $\displaystyle \mathrm{v}_{0}$. If the radiation of frequency $\displaystyle 3 \mathrm{v}_{0}$ illuminates the surface, the maximum kinetic energy (KE) of photoelectrons is $\displaystyle \mathrm{E}_{1}$. If the frequency were increased to $\displaystyle 6 \mathrm{v}_{0}$, the maximum KE of the photoelectrons becomes $\displaystyle \mathrm{E}_{2}$. Then $\displaystyle \left(\frac{\mathrm{E}_{1}}{\mathrm{E}_{2}}\right)$ equals (A) 1/3 (B) 1/2 (C) 2/5 (D) 3/4 OR Let m be the slope of the graph line for metal B. If e is the value of electron charge, then Planck's constant ' $\displaystyle \mathrm{h}$ ' is given by (A) me (B) $\displaystyle \frac{1}{\mathrm{me}}$ (C) $\displaystyle \frac{\mathrm{m}}{\mathrm{e}}$ (D) $\displaystyle \frac{\mathrm{e}}{\mathrm{m}}$

Physics · Dual Nature of Radiation and Matter · Experimental Study of Photoelectric Effect