The required wavelength of the light is 5.42 x 10⁻⁷ m.
What is wavelength?
The wavelength (λ) is define as a waveform signal conveyed in space or along a wire is the distance between identical points (adjacent crests) in adjacent cycles.
And it will be calculated as:
E = hc/λ, where
- E = energy = 3.65 x 10⁻¹⁹ J
- h = plank's constant = 6.626 x 10⁻³⁴ J.sec
- c = speed of light = 2.9 × 10⁸ m/s
On putting these values, we get
λ = (6.626 x 10⁻³⁴)(2.9 × 10⁸) / (3.65 x 10⁻¹⁹)
λ = 5.42 x 10⁻⁷ m
Hence required wavelength is 5.42 x 10⁻⁷ m.
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