What Wavelength Does a 100mW Laser Deliver 3.5x10^17 Photons in One Second?

  • Thread starter Thread starter Jethom18
  • Start date Start date
  • Tags Tags
    Energy Wavelength
AI Thread Summary
To determine the wavelength at which a 100mW laser delivers 3.5 x 10^17 photons in one second, the energy of the photons must be calculated using the formula E = hf, where h is Planck's constant and f is the frequency. The total energy delivered by the laser in one second is found by multiplying power by time, resulting in 3.5 x 10^16 joules. The wavelength can then be calculated using the equation n = hc/E, where c is the speed of light. The initial attempt at the calculation yielded an incorrect wavelength of 5.65 x 10^-42 m, indicating a potential error in the energy calculation. Clarification on the energy of individual photons and the total energy for the given number of photons is needed for accurate results.
Jethom18
Messages
2
Reaction score
0

Homework Statement



At what wavelength does a 100mW laser deliver 3.5 x 1017 photons in one second?
h (plancks) = 6.626x 10^-34
c = 3 x 10^8

Homework Equations



E = hf ==> E = hc / n (wavelength) ==> n = hc / E
Power = Energy / Time

The Attempt at a Solution



Energy = Power * Time ==> (100x10^-3 W)(3.5x10^17 photons)(1 second) = 3.5x10^16
n = hc / E ==> (3x10^8)(6.626x10^-34) / (3.5x10^16) = 5.65 x 10 ^-42 m

I think I calculated energy incorrectly, but I don't know any other formula I could use. Any help is appreciated..

Thanks!
 
Physics news on Phys.org
So 1 photon has an energy of (hc/λ )

3.5 x 1017 photons will have how much energy?
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top