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The work function for aluminium surface is 4.2 eV and that for sodium surface is 2.0 eV. The two metals were illuminated with appropriate radiations so as to cause photo emission. Then

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both aluminium and sodium will have the same threshold frequency.

the threshold frequency of aluminium will be more than that of sodium.

the threshold frequency of aluminium will be less than that of sodium.

the threshold wavelength of aluminium will be more than that of sodium.

answer is B.

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Detailed Solution

The work function ( $φ$ ) and threshold frequency ( $ν_{0}$ ) is related by $φ = h ν_{0}$ .

Thus, the greater the work function, the higher is the threshold frequency and hence the lower is the threshold wavelength.

Hence, the threshold frequency of aluminium will be more than that of sodium.

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