the eye of the reptile!

The eyes of certain member of the reptile family pass a single visual signal to the brain when the visual receptors are struck by photons of wavelength 132.6 nm. If a total energy of 3 × 1 0 14 3\times 10^{-14} J is required to trip the signal, what is the minimum number of photons that must strike the receptor?

Constants

  • Plank's constant, h = 6.63 × 1 0 34 J s . h = 6.63\times 10^{-34}\text{ J}\cdot\text{s}.
  • Speed of light, c = 3 × 1 0 8 m/s . c = 3\times 10^{8}\text{ m/s}.


The answer is 20000.

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

4 solutions

Snehal Shekatkar
Aug 9, 2014

The energy of the single photon is given by:

E 0 = h c λ E_{0}=\frac{hc}{\lambda}

where λ \lambda is wavelength of the photon.

Let n n be the minimum number of photons required to trigger the receptor. Then the total energy of these photons is n × E 0 n\times E_{0} .

Using the given values in the problem, we get: n = 20000 \boxed{n = 20000}

How can the answer be 20000? The energy of a single photon is 2×10^(-18) J, and therefore we only need 15000 photons to get 3×10^(-14) J

Petru Lupsac - 6 years, 9 months ago

its 60 electrons !!!

Vishal Bharga - 6 years, 9 months ago

To account for all the confusions. We need to know that each photon is recognized by its frequency. Meaning that each photon is different from other based on its frequency. (Talking in terms of energy). So if wavelength of the photon is given. We used the well known relation:

f = c l m b d a f = \frac{c}{lmbda}

When frequency of one photon is known. We calculate the energy associated with one photon:

E = h f E = hf

and divide total energy by energy of one photon to get number of photons. Which gives us the answer 20000 \boxed{20000}

Padma Vathi
Oct 19, 2014

The number of photons is given by dividing the total energy with the energy of each photon.The total energy is 3*10^-14J.The energy of each photon is given by E=h.c/lambda=1.5 10^-18.n=20000

Venture Hi
Sep 19, 2014

Calculate the amount of energy emitted by a single photon of a given wavelength, 132.6nm. ( remember to convert to meter) Thus, E= h * f where f= c/lambda. Rewriting, E= h * c/lambda 6.63E-34 * ( 3E8/1.326E-7)Joules = 1.5E18 Joules If 3E-14 Joules are required to trip the signal, then we need (3E-14/1.5E18) photons or 20,000.

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...