The wave function of a metal is 8.0 x $10^{-19}$ J. Calculate the wavelength of its threshold frequency. (Speed of light in a vacuum = 3 x $10^8ms^{-1}, Planck's constant = 6.6 \times 10^{-34}$ Js)

0.8 x $10^{-7}$ m

1 x $10^{-7}$ m

2.3 x $10^{-7}$ m

3.8 x $10^{-7}$ m

12.4 x $10^{-7}$ m

Correct answer is C

$\theta = E - E_f = h_f = \frac{v}{\lambda} \Rightarrow = \lambda = \frac{h_v}{\theta} \frac{6.6\times 10^{-34} \times 3 \times 10^{8}}{8.6 \times 10^{-19}} = 0.8 \times 10^{-7}$ m

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The wave function of a metal is 8.0 x $10^{-19}$ J. Calculate the wavelength of its threshold frequency. (Speed of light in a vacuum = 3 x $10^8ms^{-1}, Planck's constant = 6.6 \times 10^{-34}$ Js)

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The wave function of a metal is 8.0 x 10−1910^{-19}J. Calculate the wavelength of its threshold frequency. (Speed of light in a vacuum = 3 x 108ms−1,Planck′sconstant=6.6×10−3410^8ms^{-1}, Planck's constant = 6.6 \times 10^{-34}Js)

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The wave function of a metal is 8.0 x $10^{-19}$ J. Calculate the wavelength of its threshold frequency. (Speed of light in a vacuum = 3 x $10^8ms^{-1}, Planck's constant = 6.6 \times 10^{-34}$ Js)