Physics, 29.07.2019 21:30 bbyitskeke7160

Photons of light with an energy of 656 nm are being directed through a chamber of hydrogen gas atoms. the gas atoms began in their ground state (ni=1). what happens?

Answers: 2

Show answers

Answers

Since there is not quite enough energy for transition from n=1 to n=2. So, the photons will pass through the gas chamber without affecting the gas.

Further explanation:

If the energy of photons is enough to excite all the electrons to go in higher state, the electron absorbs the energy of photon and go from a lower energy state to higher energy state. Transition of electron from lower energy state t higher energy state depends on the energy of photons.

Given:

The wavelength of the photons directed through a chamber of hydrogen gas atoms is $656\text{ nm}$ .

The electron is excited from the energy state n=1 to higher energy state.

Concept:

The energy associated with a photon is given by the following relation.

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

Here, is the energy associated with photon, is the plank constant, is the speed of the light and $\lambda$ is the wavelength associated with photon.

Substitute $6.625\times{10^{-34}}\text{ J}\cdot\text{s}$ for , $3.00\times{10^8}\text{ m/s}}$ for and $656\text{ nm}$ for $\lambda$ in the above expression.

$\begin{aligned}E&=\frac{{\left( {6.625 \times {{10}^{ - 34}}\,{\text{Js}}} \right)\left( {3.0 \times {{10}^8}\,{\text{m/s}}} \right)}}{{\left( {656 \times {{10}^{ - 9}}\,{\text{m}}} \right)}}\\&=3.0281 \times {10^{-19}}\,{\text{J}}\\\end{aligned}$

Rydberg equations is used to find out the energy level of an electron while transition from one energy state to another energy state.

$\dfrac{1}{\lambda}=R{z^2}\left({\dfrac{1}{{n_1^2}}-\dfrac{1}{{n_2^2}}}\right)$

Here, $\lambda$ is the wavelength of the photons directed through a chamber, is the Rydberg constant, is the atomic number of hydrogen atom, ${n_1}$ is the lower energy state and ${n_2}$ is the higher energy state.

Substitute $656\times{10^{-9}}\,{\text{m}}$ for $\lambda$ , $1.0973 \times {10^7}\,{{\text{m}}^{{\text{-1}}}}$ for , for and for ${n_1}$ in the above expression.

$\dfrac{1}{{\left( {656 \times {{10}^{ - 9}}\,{\text{m}}} \right)}} = \left( {1.0973 \times {{10}^7}{\mkern 1mu} {{\text{m}}^{{\text{-1}}}}} \right){\left( 1 \right)^2}\left( {\dfrac{1}{{{{\left( 1 \right)}^2}}}-\dfrac{1}{{n_2^2}}}\right)$

Simplify the above expression for ${n_2}$

$\begin{aligned}{n_2}&=\sqrt{\dfrac{1}{{0.861}}}\\&=1.08\\\end{aligned}$

From the above result it can be concluded that photons with wavelength $656\text{ nm}$ does not have enough energy to cause an electron to jump even one level higher.

Thus, there is not quite enough energy for transition from n=1 to n=2. So, the photons will pass through the gas chamber without affecting the gas.

Learn more:

1. A Na+ ion moves from inside a cell link

2. The kinetic energy of the emitted electrons when cesium is exposed to UV rays link

3. The frequency of the light for wavelength 7.1x10^2 nm link

Answer Details:

Grade: College

Subject: Physics

Chapter: Modern physics

Keywords:

Photons, light, energy, 656 nm, 656 times 10^-9 m, 6.56 times 10^-7 m, directed, chamber, hydrogen, gas atom, ground state, ni=1, 1.071, few, absorbed, quite enough, electrons, nf=2.

Answer from: Quest

scientific laws are the result of testing theories and proving them to be facts.

Answer from: Quest

explanation:

wheres the pic

Another question on Physics

Physics, 21.06.2019 14:40

If you go to a nutrition store and buy a supplement, you can count on the fact that it is pure and safe because supplements are regulated, controlled, and inspected by the fda.

Answers: 1

Answer

Physics, 21.06.2019 20:30

Water at room temperature of 20.0°c is poured into an aluminum cylinder which has graduation markings etched on the inside. the reading in the graduations is 300.0 cc. the cylinder with the water in it is then immersed in a constant temperature bath at a temperature of 100°c. what is the reading for the level of water on the graduations of the cylinder after the water and the cylinder reach thermal equilibrium with the bath? the volume coefficient of expansion of water is 2.07 x 10^-4 k-1, and the linear coefficient of expansion of aluminum is 23.0 x 10^-6 k-1. a) 305.0 cc b) 304.0 cc c) 303.5 cc d) 303.3 cc e) 304.5 cc

Answers: 3

Answer

Physics, 21.06.2019 22:00

Jason and mia are both running in a race. as they approach the finish line, you being the physicist that you are decide to time how long it takes them to reach the end of the race. when you start your stop watch (you can take this as time t = 0 s) you notice that mia is an unknown distance d ahead of jason and both are moving with the same initial velocity v_0. you also notice that jason is accelerating at a constant rate of a_j, while mia is deaccelerating at a constant rate of -a_m. jason and mia meet each other for the first time at time t = t_1. at this time (t = t_1) jason's velocity is two times that of mia's velocity, meaning v_j (t_1) = 2v_m (t_1). a) draw the position vs. time graph describing mia's and jason's motion from time t = 0 to time t = t_1. clearly label your axes and initial conditions on your graph. b) draw the velocity vs. time graph describing mia and jason's motion from time t = 0s to time t = t_1. clearly label your axes and initial conditions on your graph. c) how long from when the stop watch was started at t = 0s did it take mia and jason to meet? express your answer in terms of know quantities v_0, a_m, and a_j. d) when the stop watch started at time t = 0s, how far apart, d, were mia and jason? express your answer in terms of know quantities v_0, a_m, and a_j.

Answers: 1

Answer

Physics, 22.06.2019 06:30

The mini-refrigerator fire was most likely caused by what type of wiring?

Answers: 2

Answer

You know the right answer?

Photons of light with an energy of 656 nm are being directed through a chamber of hydrogen gas atoms...

Questions