Problem: The six metals have the work functions, W.Part A. Rank these metals on the basis of their cutoff frequency. Rank from largest to smallest. To rank items as equivalent, overlap them.Part B. Rank these metals on the basis of the maximum wavelength of light needed to free electrons from their surface. Rank from largest to smallest. To rank items as equivalent, overlap them.Part C. Each metal is illuminated with 400 nm (3.10 eV) light. Rank the metals on the basis of the maximum kinetic energy of the emitted electrons. (If no electrons are emitted from a metal, the maximum kinetic energy is zero, so rank that metal as smallest.) Rank from largest to smallest. To rank items as equivalent, overlap them.Cesium: w = 2.1 eV Aliminium: w = 4.1 eV Beryllium: w = 5.0 eV Potassium: w = 2.3 eV Platinium: w = 6.4 eV Magnesium: w = 3.7 eV

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Work function is the minimum amount of work required to remove an electron from a solid to a point in vacuum outside the solid surface.

A small value of work function means that it is easy to remove electrons from the surface of the solid.

We will first start by arranging metals based on their work functions (from largest to smallest).

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Problem Details

The six metals have the work functions, W.

Part A. Rank these metals on the basis of their cutoff frequency. Rank from largest to smallest. To rank items as equivalent, overlap them.

Part B. Rank these metals on the basis of the maximum wavelength of light needed to free electrons from their surface. Rank from largest to smallest. To rank items as equivalent, overlap them.

Part C. Each metal is illuminated with 400 nm (3.10 eV) light. Rank the metals on the basis of the maximum kinetic energy of the emitted electrons. (If no electrons are emitted from a metal, the maximum kinetic energy is zero, so rank that metal as smallest.) Rank from largest to smallest. To rank items as equivalent, overlap them.

Cesium: w = 2.1 eV 

Aliminium: w = 4.1 eV 

Beryllium: w = 5.0 eV 

Potassium: w = 2.3 eV 

Platinium: w = 6.4 eV 

Magnesium: w = 3.7 eV