Verified Answer :

We know that:
f  λ = c 
and
E = h
f
so,rearranging:
  
E/h = C/λ 
given:
h = 
6.90 × 10^2 nm

substituting the values:

E = 
 C/λ x h  
(c is the speed of light;that is 3x10^8 m/s)

    = 3x10^8 x 6.626x10^-34 / 6.90 x10^7m x 6.022x10^23
Hence,
using calculator:
we get,
 E = 1.69 x 10^5 Joules

The energy for one mole of photons : 1.7343.10⁵ J

Further explanation

The photoelectric effect is an electron coming out of a metal because of electromagnetic radiation


One type of electromagnetic radiation is light

Electrons can come out of metal because they absorb electromagnetic energy radiated on metals. There is also kinetic energy released from metal, which is according to the equation:


E = hf - hfo


fo = the threshold frequency of electromagnetic waves


Radiation energy
is absorbed by photons


The energy in one photon can be formulated as


E = h. f


Where


h = Planck's constant (6,626.10⁻³⁴ Js)


f = Frequency of electromagnetic waves


f = c / λ


c = speed of light


= 3.10⁸


λ = wavelength


Known wavelength 6.90 × 10² nm


6.90 × 10² nm. = 6.9.10⁻⁷ m


We put it in the formula to find this light energy E = h. f


\(\rm E=\dfrac{h\times c}{\lambda}\\\\E=\dfrac{6,626.10^{-34}\times 3.10^8}{6.9.10^{-7}}\\\\E=2.88.10^{-19}\)


Because this is 1 photon energy, while the number of photons in one mole = 6.02.10²³, then the energy for one mole of photons

2.88 .10⁻¹⁹ x 6.02.10²³ = 1.7343.10⁵ J

 

Learn more

Electromagnetic radiation with wavelength of 745 nm


brainly.com/question/7590814


The energy of a photon


brainly.com/question/7353559


The equation E = hf


brainly.com/question/4177755


the approximate energy of a photon


brainly.com/question/7991589


The equation for photon energy


brainly.com/question/2741868


the wavelength of a photon whose energy is twice


brainly.com/question/6576580