a 75 w light source consumes 75 w of electrical power . assume all this energy goes in to emitted li ght of wavelength 600nm calculate the frequency of the emitted light?
Wavelength = V/F = 6*10^-7 m.
WL = 3*10^8/F = 6*10^-7 m.
F = 5*10^14 cycles/s. = 5*10^14 Hz.
To calculate the frequency of the emitted light, we can use the equation:
\[E = hf\]
where:
E is the energy of the emitted light,
h is Planck's constant (approximately 6.626 x 10^-34 J·s), and
f is the frequency of the emitted light.
Given that the light source consumes 75 watts (W) of electrical power, we can assume that all this energy goes into the emitted light. Therefore, we can consider it as the energy of the emitted light (E).
Now, we need to convert the wavelength from nanometers (nm) to meters (m) because the equation requires the wavelength in meters. To do this, we use the conversion factor:
1 nm = 1 × 10^-9 m
Given:
Wavelength (λ) = 600 nm = 600 × 10^-9 m,
we can substitute this value into the speed of light equation:
c = λf
where:
c is the speed of light (approximately 3.00 × 10^8 m/s).
Rearranging the equation to solve for frequency (f), we get:
f = c/λ
Now we can substitute the known values into the equation:
f = (3.00 × 10^8 m/s) / (600 × 10^-9 m)
Simplifying:
f ≈ 5 × 10^14 Hz
Therefore, the frequency of the emitted light is approximately 5 × 10^14 Hz.