Final answer:
The work function of the metal is approximately 4.64 x 10^-19 J.
Step-by-step explanation:
The work function of a metal is the minimum amount of energy required to remove an electron from the metal's surface. In this case, light of wavelength λ=360 nm is used to eject electrons from the metal with a kinetic energy of 9.20×10⁻²⁰ J. The work function (W) can be calculated using the equation:
W = E - KE
Where E is the energy of the incoming light and KE is the kinetic energy of the ejected electrons. Plugging in the values, we get:
W = (hc) / λ - KE
where h is Planck's constant (6.63 x 10^-34 J·s) and c is the speed of light (3.00 x 10^8 m/s). Now, let's calculate:
W = (6.63 x 10^-34 J·s * 3.00 x 10^8 m/s) / (360 x 10^-9 m) - 9.20×10⁻²⁰ J
W ≈ 4.64 x 10^-19 J
Learn more about work