To determine the corresponding frequency of the light with a wavelength of 2.76x10^-7 m, you can use the formula:
frequency (ν) = speed of light (c) / wavelength (λ)
The speed of light is approximately 3.00x10^8 meters per second (m/s). Plugging in the values:
frequency (ν) = (3.00x10^8 m/s) / (2.76x10^-7 m)
Calculating this gives us:
ν ≈ 1.09x10^15 Hz
Therefore, the corresponding frequency of the light is approximately 1.09x10^15 Hz.
To determine the energy emitted in the production of this radiation, you can use the formula:
energy (E) = Planck's constant (h) × frequency (ν)
Planck's constant is approximately 6.63x10^-34 joule-seconds (J·s). Plugging in the values:
E = (6.63x10^-34 J·s) × (1.09x10^15 Hz)
Calculating this gives us:
E ≈ 7.23x10^-19 J
Therefore, the energy emitted in the production of this radiation is approximately 7.23x10^-19 joules (J).