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Answer :
Final answer:
The wavelength of ultraviolet radiation with a frequency of 3.07×10^15 s^−1 is approximately 97.7 nm. Thus, option (a) is the correct answer.
Explanation:
To find the wavelength of ultraviolet radiation with a frequency of 3.07×10^15 s^−1, we can use the formula for the speed of light, which states that the speed of light (c) is equal to the product of wavelength (λ) and frequency (v), expressed as c = v * λ. Given that the speed of light is about 3.0 x 10^8 m/s or 3.0 x 10^17 nm/s, we substitute the given values into the formula to solve for wavelength:
λ = c / v
λ = (3.0 x 10^17 nm/s) / (3.07 x 10^15 s^-1)
λ ≈ 97.7 nm
Therefore, the wavelength of the ultraviolet radiation is approximately 97.7 nm, which corresponds to option a.
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