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

1 Answer
Nov 10, 2015

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.