1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mkey [24]
2 years ago
12

What is the wavelength of a photon whose energy is twice that of a photon with a 600 nm wavelength?

Physics
2 answers:
bearhunter [10]2 years ago
8 0
Planck's equation states that
E = hf
where
E =  the energy,
h = Planck's constant
f =  the frequency

Because
c = fλ
where
c =  velocity of light,
λ = wavelength
therefore
E = h(c/λ)

Photon #1:
The wavelength is λ₁ = 60 nm.
The energy is
E₁ = (hc)/λ₁

Photon #2:
The energy is twice that of photon #1, therefore its energy is
E₂ = 2E₁ = (hc)/λ₂.

Therefore
\frac{E_{2}}{E_{1}}= \frac{(hc)/\lambda_{2}}{(hc)/60 \, nm} =2\\ \frac{60}{\lambda_{2}} =2 \\ \lambda_{2} =  \frac{60}{2} =30 \, nm

Answer:  30 nm

MAVERICK [17]2 years ago
4 0

The wavelength of the photon having twice the energy as that of the photon of wavelength 600\,{\text{nm}} is \boxed{300\,{\text{nm}}} .

Further Explanation:

The photons are the small packets of energy that move at the speed of light. The photons are considered to remain always in motion. The energy associated with a moving photon is given by:

E = \dfrac{{hc}}{\lambda }

Here,  E  is the energy associated with the photon, h is the Planck’s constant, c is the speed of light and \lambda is the wavelength of the moving photon.

The value of the Planck’s constant is 6.6 \times {10^{ - 34}}\,{\text{J}} \cdot {\text{s}} .

The wavelength of the photon is 600\,{\text{nm}} .

The energy associated with the photon of wavelength 600\,{\text{nm}} is:

\begin{aligned}{E_1}&=\frac{{\left( {6.6 \times {{10}^{ - 34}}} \right) \times \left( {3 \times {{10}^8}} \right)}}{{600 \times {{10}^{ - 9}}}}\\&=\frac{{1.98 \times {{10}^{ - 25}}}}{{6 \times {{10}^{ - 7}}}}\\&= 3.3 \times {10^{ - 19}}\,{\text{J}}\\\end{aligned}

The wavelength of photon having energy double of this:

\begin{aligned}E' &= 2{E_1}\\&= 2 \times\left( {3.3 \times {{10}^{ - 19}}} \right)\,{\text{J}}\\&{\text{ = 6}}{\text{.6}} \times {\text{1}}{{\text{0}}^{ - 19}}\,{\text{J}}\\\end{aligned}

The new wavelength of the photon will be:

 \lambda ' = \dfrac{{hc}}{{E'}}

Substitute 6.6 \times {10^{ - 19}}\,{\text{J}} for E' in above expression.

\begin{aligned}\lambda ' &= \frac{{\left( {6.6 \times {{10}^{ - 34}}} \right) \times \left( {3 \times {{10}^8}} \right)}}{{6.6 \times {{10}^{ - 19}}}}\\&=\frac{{1.98 \times {{10}^{ - 25}}}}{{6.6 \times {{10}^{ - 19}}}}\,{\text{m}}\\&= 3.0 \times {10^{ - 7}}\,{\text{m}}\\&= 300\,{\text{nm}}\\\end{aligned}

The wavelength of the photon having twice the energy as that of the photon of wavelength 600\,{\text{nm}} is \boxed{300\,{\text{nm}}}.

Learn More:

1.Which of the following statements about electromagnetic radiation are true brainly.com/question/1619496

2.To find the number of neutrons in an atom you would subtracthttps://brainly.com/question/1983390

3.What is the frequency of light for which the wavelength is 7.1*10^2 nmhttps://brainly.com/question/9559140

Answer Details:

Grade: Senior School

Subject: Physics

Chapter: Photon and Energy

Keywords:  Wavelength, photon, energy, E=hc/lamda, 600nm, twice the energy, Planck’s constant, small packets of energy, 300nm, speed of light.

You might be interested in
A small metal sphere has a mass of 0.19 gg and a charge of -23.0 nCnC. It is 10.0 cmcm directly above an identical sphere that h
RoseWind [281]

Answer:

  a = -7.29 m / s²

Explanation:

For this exercise we must use Newton's second law,

          F -W = m a

Force is electrical force

         F = k q₁ q₂ / r²

         k q₁ q₂ / r² -mg = m a

indicate that the charge of the two spheres is equal

         q₁ = q₂ = q

         a = (k q² / r² - m g) / m

         a = k q² / m r² - g

Let's reduce the magnitudes to the SI system

        m = 0.19 g (1kg / 1000 g) = 1.9 10⁻⁴ kg

        q1 = q2 = q = -23.0 nC (1C / 10⁹ nC) = -23.0 10⁻⁹ C

        r = 10.0 cm (1m / 100cm) = 0.1000 m

let's calculate

        a = 9 10⁹ (23.0 10⁻⁹)² / (0.1000² 1.9 10⁻⁴) - 9.8

        a = -7.29 m / s²

The negative sign indicates that the direction of this acceleration is downward

6 0
2 years ago
A solid plastic ball hits a stationary tennis ball in a perfectly elastic collision. If the mass of the plastic ball is three ti
ivanzaharov [21]

The two balls separate but continue to move in the same direction

3 0
2 years ago
Read 2 more answers
A car driving at 20 m/s accelerates continuously 2m/s2​ ​ for 3 seconds. What is its final velocity
Lesechka [4]

Answer: V= u+ at

V= final velocity

u=initial velocity

a=acceleration

t=time taken

V= 20 + 2*3

V= 26m/s

Explanation:

5 0
2 years ago
Please help!!30 points and will give the brainliest answer for a clear explanation.I need it really fast. Thank you!
kompoz [17]
I would rather be hit by the deflated ball because it wouldn't hurt as bad because it wouldn't have a lot of weight to hurt me in anyway
4 0
3 years ago
Ordinary ocean waves are created by the interaction of the ____ and ____.
dmitriy555 [2]
Wind and amplitude creates the waves in an ordinary ocean
7 0
3 years ago
Other questions:
  • A cassette recorder uses a plug-in transformer to convert 120 V to 12.0 V, with a maximum current output of 200 mA. What is the
    10·1 answer
  • This i relatively easy but still, i attached a picture
    5·1 answer
  • Two blocks slide without friction. Block 1 has a mass of 1.6 kg and a velocity of +5.5 m/s. Block 2 has a mass of 2.4 kg and a v
    7·1 answer
  • In a parallel portion of a series-parallel circuit, the voltage across the branches can be found by multiplying the sum of the b
    7·1 answer
  • Where must an object be placed to form an image 30.0 cm from a diverging lens with a focal length of 43.0 cm?
    6·1 answer
  • Cations have fewer _____ than _____.
    14·2 answers
  • 9. A pendulum bob is made with a ball filled with water. What would happen to the frequency of vibration of this pendulum if a h
    9·1 answer
  • A sled of mass 8 kg slides along the ice. It has an initial speed of 4 m/s but
    7·1 answer
  • Me pueden ayudar es urgente es para mañana son el 25 y 34
    13·1 answer
  • Would time travel ever be possible? If so how and through what extensive process would it might be possible.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!