Question

Can a light wave with a frequency of `2.00xx10^14` `"Hz"` eject an electron from a piece of silver?

Answer 1

A light wave with a frequency of `2.00xx10^14 "Hz"` will produce `1.33xx10^(-19) "J"` of energy, which is not enough energy to eject an electron from a piece of silver.

Explanation:

The threshold (minimum) amount of energy required to eject an electron from silver is `7.59xx10^(-19)` `"J"`.
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To calculate the energy of the light from its frequency, use the following formula:

`E=hv`,

where:

`E` is energy is Joules, `h` is Planck's constant, and `v` (pronounced noo) is frequency,

Known/Given

Planck's constant`=` `6.626xx10^(−34)` `"J"⋅"s"`.

`nu=2.00xx10^14` `"Hz"` `=` `2.00xx10^14 "1/s"`

Unknown

`E`

Solution
Plug in the known/given values and solve.

`E=(6.626xx10^(-34)"J"*color(red)cancel(color(black)("s")))xx(2.00xx10^14 1/color(red)cancel(color(black)("s")))=1.33xx10^(-19) "J"`

A light wave with a frequency of `2.00xx10^14` `"Hz"` will produce `1.33xx10^(-19) "J"` of energy, which is not enough
energy to eject an electron from a piece of silver.