The wave function of a metal is 8.0 x (10^{-19})J. Calculate the wavelength of its…

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)
  • A.
    0.8 x (10^{-7})m
  • B.
    1 x (10^{-7})m
  • C.
    2.3 x (10^{-7})m
  • D.
    3.8 x (10^{-7})m
  • E.
    12.4 x (10^{-7})m
Correct Answer: Option C
Explanation

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

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