Question

Dinoflagellates are single-cell creatures that float in the world's oceans; many types are bioluminescent. When disturbed by motion in the water, a typical bioluminescent dinoflagellate emits 100,000,000 photons in a 0.10s long flash of light of wavelength 460 nm .
What is the power of the Flash in watts?

Answer 1

Answer:

P = 43.2 10⁻¹⁰ W

Explanation:

To find the power, let's start by calculating the energy of each photon using the Planck equation

     E = h f

Where h is the Planck constant that is worth 6.63 10⁻³⁴ J s and f is the emitted frequency

The speed of light is related to wavelength and frequency

      c = lam f

Let's replace

    E = h c / lam

    E = 6.63 10⁻³⁴ 3. 10⁸/460 10⁻⁹

    E = 4.32 10⁻¹⁹ J

This is the energy of each photon emitted, the total energy is the product of this value by the number cded photons

Let's calculate the power

     P = W / t = Total E / t

     P= N E /t

    P = 1 10⁹ 4.32 10⁻¹⁹ / 0.10

    P = 43.2 10⁻¹⁰ W