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The wavelength of light can be calculated using the following equation:
λ = hc/E
where:
λ is the wavelength in meters
h is Planck's constant (6.626 × 10^-34 J·s)
c is the speed of light (2.998 × 10^8 m/s)
E is the energy in joules
Substituting the given values, we get:
λ = (6.626 × 10^-34 J·s)(2.998 × 10^8 m/s) / (3.29 × 10^-19 J)
λ = 6.04 × 10^-7 m
Converting this to nanometers:
λ = 6.04 × 10^-7 m
(10^9 nm/1 m)
λ = 604 nm
Therefore, the wavelength of light is 604 nanometers.