Question 91994PhysicsWAEC

The work function of a metal is 8.6 x 10−19^{-19} J. Calculate the wavelength of its threshold frequency (Speed of light in vacuum = 3 x 108^{8} ms−1^{-1}, Planck’s constant = 6.6 x 10−3^{-3} 4 Js)

A

0.8 x 10−7^{-7}m

B

1.0 x 10−7^{-7} m

C

2.3 x 10−7^{-7} m

D

3.8 x 10−7^{-7} m

Step-by-Step Explanation

The threshold frequency of a metal is the minimum frequency required to eject electrons, which can be calculated using the work function and Planck's constant. The relationship between wavelength, frequency, and the speed of light is given by the equation c=fλc = f \lambda, where cc is the speed of light, ff is the frequency, and λ\lambda is the wavelength. By rearranging the equations and substituting the values, the wavelength corresponding to the threshold frequency can be determined.

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