Photoelectric effect

Chemistry Level 2

A piece of chromium is exposed to a light with wavelength 2.50 × 1 0 7 m 2.50 \times 10^{-7} \text{ m} . Suppose that the work function of the chromium is 7.21 × 1 0 19 J . 7.21 \times 10^{-19} \text{J}. Then what is the maximum kinetic energy of the emitted photoelectrons?

7.4 × 1 0 19 J 7.4 \times 10^{-19} \text{J} 6.4 × 1 0 20 J 6.4 \times 10^{-20} \text{J} 7.4 × 1 0 20 J 7.4 \times 10^{-20} \text{J} 6.8 × 1 0 19 J 6.8 \times 10^{-19} \text{J}

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1 solution

Michael Fuller
Apr 23, 2015

Energy of a photon = Work function + Maximum kinetic energy h c λ = ϕ + K E m a x K E m a x = h c λ ϕ K E m a x = 6.63 × 10 34 × 3 × 10 8 2.50 × 10 7 7.21 × 10 19 = 7.4 × 10 20 J \frac { hc }{ \lambda } =\phi +{ KE }_{ max }\\ { KE }_{ max }=\frac { hc }{ \lambda } -\phi \\ { KE }_{ max }=\frac { 6.63\times { 10 }^{ -34 }\times 3\times { 10 }^{ 8 } }{ 2.50\times { 10 }^{ -7 } } -7.21\times { 10 }^{ -19 }\\ =\boxed { 7.4\times { 10 }^{ -20 }J } \\

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