3x10 power 18 photon of certain light radian are found to produce 1.5 j of energy calculate wavelength of light radiation
To calculate the wavelength of light radiation, we can use the equation relating the energy of a photon to its wavelength. The equation is given by:
E = hc/λ
Where:
E is the energy of the photon
h is Planck's constant (approximately 6.626 x 10^-34 J·s)
c is the speed of light in a vacuum (approximately 3.00 x 10^8 m/s)
λ (lambda) is the wavelength of the light radiation
In this case, we are given the energy of the photon (1.5 J). Now, we can rearrange the equation to solve for the wavelength (λ):
λ = hc/E
Substituting the known values, we have:
λ = (6.626 x 10^-34 J·s)(3.00 x 10^8 m/s)/(1.5 J)
Now we can simplify the equation:
λ = (1.9888 x 10^-25 J·s·m/s)/(1.5 J)
Dividing the numerator by the denominator gives us:
λ = 1.3259 x 10^-25 m ≈ 1.33 x 10^-25 m
Therefore, the wavelength of the light radiation is approximately 1.33 x 10^-25 meters.