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JIPMER 2013
Exam
JIPMER
Year
2013
Subject
Physics
Chapter
Dual Nature of Matter

JIPMER 2013 · Physics · Dual Nature of Matter

The work function for metals A, B and C are respectively 1.92 eV,...

The work function for metals A,BA, B and CC are respectively 1.92eV,2.0eV1.92 \mathrm{eV}, 2.0 \mathrm{eV} and 5 eV. According to Einstein's equation the metals which will emit photo, electrons for a radiation of wavelength 4100A˚4100 Å is/are

Options

  1. Anone
  2. BAA only
  3. CAA and BB only
  4. DAll the three metals

Correct answer

C. AA and BB only

Step-by-step solution

Work function for wavelength of 4100A˚4100 Å is W=hcλ=6.63×10−34×3×1084100×10−10=4.8×10−19 J=4.8×10−191.6×10−19eV=3eV\begin{aligned} W & =\frac{h c}{\lambda} \\ & =\frac{6.63 \times 10^{-34} \times 3 \times 10^8}{4100 \times 10^{-10}} \\ & =4.8 \times 10^{-19} \mathrm{~J} \\ & =\frac{4.8 \times 10^{-19}}{1.6 \times 10^{-19}} \mathrm{eV} \\ & =3 \mathrm{eV}\end{aligned} Now, we have WA=1.22eVWB=2.0eVWC=5eV\begin{aligned} & W_A=1.22 \mathrm{eV} \\ & W_B=2.0 \mathrm{eV} \\ & W_C=5 \mathrm{eV}\end{aligned} Since, WA<WW_A \lt W and WB<WW_B \lt W, hence AandBA and B will emit photoelectrons.
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