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Sodium and copper have work functions 2....

Sodium and copper have work functions `2.3 eV and 4.5 eV` respectively . Then the ratio of the wavelength is nearest

A

`1:2`

B

`4:1`

C

`2:1`

D

`1:4`

Text Solution

Verified by Experts

The correct Answer is:
C

we know that work function is the energy required and energy ` E = h upsilon`
`:. (E_(Na))/(E_(Ca)) = (h upsilon_(Ne))/(h upsilon _(Ca)) = (lambda_(Cu)/(gamma_(Na) [:' upsilon prop (1)/(lambda) for light]`
`:. (lambda_(Na))/(lambda_(Cu)) = (E_(Cu))/(E_(Na)) = (4.5)/(2.3) = (1)/(2)`
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