Consider a photon of light with energy of 1 . 0 × 10 − 18 J. What is the wavelength of this photon?
answer choices:
1. 8.3 x 10^-28 m
2. 1.5 x 10^-15 m
3. 3.0 x 10^-10 m
4. 3.75 x 10^15 m
5. 2.0 x 10^-7 m
Question 2: Consider a photon of light with a wave-
length of 80 nm. What is the energy of this
photon?
Question 3: Consider a photon of light with a frequency
of 4.0 x 10^6 Hz. What is the energy of this photon?
- I tried doing them, but apparently my answer was always wrong. Can someone please help? I will really appreciate it :)!
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Verified answer
E = h*f
if f*L = c where L is wavelength
then f = c/L
E = h*c/L
h = planks constant in J's
solve for L
L = h*c/E
= 6.626*10^-34*3*10^8/10^-18
= 6.626*3*10^-34*10^8*10^18
I just took ehte 10^-18 to the top and that makes the exponent the negative of its current value..which in this case is positive..
= 19.876*10^-8
this becomes answer 5
2) E = h*c/L = 19.876*10^-34*10^8/ 80*10^-9
= 0.248475 *10^-34*10^9
= 2.5*10-25 J
3) E = h*f = 6.626*10^-34*4.0*10^6
= 26.504 *10^-28 J
= 2.7*10^-27 J
those should be the answers.. your probably may have been significant digits..
E=hc/l h=6.62x10^-34, c=3x10^8, E=1. 0Ã10^â18 J
1.0Ã10^â18=6.62x10^-34x3x10^8/l
1/l=1.0Ã10^â18/(6.62x10^-34x3x10^8)
1/l=5035247
l=2x10^-7m
you can do the others...