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JIPMER 2005
Exam
JIPMER
Year
2005
Subject
Physics
Chapter
Dual Nature of Matter

JIPMER 2005 · Physics · Dual Nature of Matter

The work function of sodium is 2.3 eV . The threshold wavelength of...

The work function of sodium is 2.3 eV . The threshold wavelength of sodium will be

Options

  1. A2900A˚2900 Å
  2. B2500A˚2500 Å
  3. C5380A˚5380 Å
  4. D1200A˚1200 Å

Correct answer

C. 5380A˚5380 Å

Step-by-step solution

Here : work function W0=2.3eV=2.3×1.6×10−19JwhereW_0=2.3 \mathrm{eV}=2.3 \times 1.6 \times 10^{-19} \mathrm{ J} where\lambda_0is the thresholdwavelengthforsodiumThen,threshold wavelength for sodium Then,W0=hcλ0 or λ0=hcW0λ0=6.6×10−34×3×1082.3×1.6×10−19=5380×10−10m=5380A˚\begin{aligned} W_0 & =\frac{h c}{\lambda_0} \text{ or } \lambda_0=\frac{h c}{W_0} \\ \lambda_0 & =\frac{6.6 \times 10^{-34} \times 3 \times 10^8}{2.3 \times 1.6 \times 10^{-19}} \\ & =5380 \times 10^{-10} \mathrm{ m}=5380 Å \end{aligned}$$
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