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# The wave function of a metal is 8.0 x $$10^{-19}$$J. Calculate the wavelength of...

### Question

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)

### Options

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

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