Answer:
1.92×10¯⁴ m
Step-by-step explanation:
From the question given above, the following data were obtained:
Frequency (f) = 1.56×10¹² Hz
Wavelength (λ) =?
Frequency and wavelength of a wave are related by the following equation:
v = λf
Where
'v' is the velocity of light with a constant value of 3×10⁸ m/s.
'λ' is the wavelength
'f' is the frequency.
Thus, we can obtain the wavelength of radiation by using the above formula as illustrated below:
Frequency (f) = 1.56×10¹² Hz
Velocity (v) = 3×10⁸ m/s.
Wavelength (λ) =?
v = λf
3×10⁸ = λ × 1.56×10¹²
Divide both side by 1.56×10¹²
λ = 3×10⁸ / 1.56×10¹²
λ = 1.92×10¯⁴ m
Therefore, the wavelength of the radiation is 1.92×10¯⁴ m