Calculate the wavelength of the em wave required to ionize a hydrogen atom (i.e., remove the electron in the ground state so that H-atom becomes H+ion). Determine the frequency of this em wave. In which region of the electromagnetic spectrum does this em wave lie?

Calculate the wavelength of the em wave required to ionize a hydrogen atom (i.e., remove the electron in the ground state so that H-atom becomes H+ion). Determine the frequency of this em wave. In which region of the electromagnetic spectrum does this em wave lie?

Related questions

Q: We all know the trick of pretending to lose a cell phone connection, but the receiving person (in…

A: (1) Given: f=850 MHz=8.50×108 Hz The formula to calculate the wavelength is λ=cf where c is the…

Q: MOST energy. Question 46 options: 1 2 3 4 5 6 7 8 9 10 11 12 13 1 2 3 4 5 6 7 8 9 10 11 12 13…

A: The electromagnetic spectrum refers to the range of all possible frequencies of electromagnetic…

Q: If the wavelength of a photon is doubled, describe what happens to its energy. How would you…

A: The energy E of a photon is given by Planck's equation: E=hf, where h is Planck's constant…

Q: The neutral iron line in Sun's spectrum has a wavelength of 5270 Å. Find the wavelength shift of…

Q: Problem 28.03. How fast would you need to travel in your car for a red light A to appear green > =…

A: Mass of car(m)= 2x 103 Red light wavelength = 700nm Green light wavelength =520nm

Q: Knowing the wavelength of a photon, how can you calculate its frequency and energy? What are the…

A: Step 1: Frequency Calculation: The frequency f of a photon is related to its wavelength λ through…

Q: An astronomer discovers a star that has a peak wavelength of 617 nm.

A: For frequency Speed = frequency × wavelength c = f× λ 3× 108 =f x 617 × 10-9 4.8× 1014 Hz = f

Q: A spaceship from a friendly, extragalactic planet flies toward Earth at 0.209 times the speed of…

A: Given Spaceship speed = 0.209 times the speed of light The wave length of the laser light = 687 nm…

Q: police officer's radar gun emits radio waves at a frequency of 10.7 GHz10.7 GHz. What is the…

Q: 1. Temperature of the Cosmic Microwave Background radiation (CMB) is T= 2.725 K. a) Assuming it has…

A: (a) as we know max. Wavelength of radiation given by wein displacement law Lembda = b/ T where b is…

Q: A uniform EM wave. E = 8 Cos (1²-B²) ax - 6 sin (wt-BZ) ay V/m propagates at 40 MHZ. in a lossless…

Q: The electric field of an electromagnetic wave in a vacuum is Ey (18.0 V/m) cos((4.88 × 10³) - wt),…

A: wave numberk=2πλwhere,λ is wavelengthRelationship between electric field(E) and magnetic field(B) in…

Q: What is the wavelength at which the Cosmic Background Radiation has highest intensity (per unit…

Q: EM radiation has both properties of a waves and a particles. The energy of these photons is directly…

A: The energy of these photons is directly proportional to what one property of the wave ?

Q: What is the energy in cm¯! of a photon of 500 nm energy that may be observed in electron (UV-VIS)…

A: Given: (a) wavelength in UV-VIS region, λ=500 nm (b) wavelength of photon in IR region, λ=6 micron…

Q: A rectangular loop of wire sits partially in a uniform magnetic field indicated by the array of dots…

A: (a) Induced current in the given loop is given by Lenz law. From this law, the direction of induced…

Q: A healthy person has a body temperature of 98.6°. Use the properties of blackbody radiation to work…

Q: Q1(B). Refer to the visible light spectrum to determine what region of EM radiation does this light…

A: solution of above question given in below step.

Q: onsider the three types of electromagnetic radiation shown below. MIR waves, λ = 4.5 μm 140…

A: Given Data, Wavelength of MIR wave (λM)=4.5 μm Wavelength of keV rays (λk)=8.9 pm Wavelength of the…

Q: b. The cyclotron frequency of an emitting electromagnetic wave is f = 2450 MHz. What magnetic field…

Q: Part (a) When are the field strengths next equal to zero? Give your answer in seconds. Part (b) When…

Q: The terrestrial oxygen line in Sun's spectrum has a wavelength of 7594 Å. Find the wavelength shift…

A: When light is moving away from a gravitational source its energy will decrease. This will decrease…

Q: The frequency of violet light is about twice that of red light. Which has more energy photon of red…

Q: Follow up questions: Sunburn (and skin cancer) is caused by ultraviolet light waves having a…

A: Frequency of Ultraviolet ray=1.02×1016 Hz Frequency of Electromagnetic waves =1.43 GHz Frequency of…

Q: You measure with a super-magic thermometer that reads 1808 K. Your skin is measured at 33 °C. Assume…

A: a hypothetical perfect absorber and radiator of energy, with no reflecting power.

Q: Which of the following will emit an EM WAVE? Choose all that apply. A positive ion that is speeding…

A: The emission of the electromagnetic waves is caused by the accelerating ions. To accelerate the…

Q: Visible light is O a large portion of the full electromagnetic spectrum. O the only phenomenon…

A: A visible light is the range in which a human eye can see.

Question

Interaction between an electric field and a magnetic field.

Expert Solution

Step 1

Principle quantum number for hydrogen atom is one. When hydrogen atom goes under ionization, the electron in it's orbit goes to higher orbits and it becomes H+ ion. To calculate wavelength of em wave required to remove the electron from hydrogen atom is calculated by Rydberg's equation:-

$\frac{1}{λ} = R (\frac{1}{n_{1}^{2}} - \frac{1}{n_{2}^{2}})$

Here, electron is remove from first orbit, hence n₁=1 and it goes to higher orbit n₂= $\infty$ .

Thus, the Rydberg's equation for wavelength becomes

$\begin{array}{rcl} \frac{1}{λ} & = & R (\frac{1}{1^{2}} - \frac{1}{\infty^{2}}) \\ \frac{1}{λ} & = & R \\ λ & = & \frac{1}{R} \end{array}$

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

12.57×10-7 Tesla is not a valid option of the answers available to choose.
An ultraviolet light source produces photons with 8.5 eV of energy. What is the wavelength of thelight?
Which one of the following statements is true regarding red photons and blue photons traveling through vacuum? A) Red light travels faster than blue light and carries more energy. B) Blue light travels faster than red light and carries more energy. C) Red light travels at the same speed as blue light and carries more energy. D) Blue light travels at the same speed as red light and carries more energy.
A local radio station broadcasts radio waves at 99.7 MHz. Unlike sound, radio waves can pass into outer space, because they are disturbances not in air molecules but in the e-m fields that exist even in the vacuum of space. It's energy traveling independent of matter. a. When that radio wave hits you, how many pulses (wave crests) of em radiation hit you per minute (60 seconds)? (reminder: M = 10 6) b. Radio waves move at the speed of light (c), how far apart is each wave crest (wavelength)? c. If we boosted the signal strength so that station could be heard on the moon, would either the wavelength or frequency change?
Consider a photon with energy 1.5 eV. 1. What is its wavelength in nanometers? 2. What is its frequency in hertz? 3. What type of electromagnetic radiation is it?
4. A small line element dl, of wire #1 perceives the Lorentz force dF12 in the field of wire #2. Write out the corresponding integral expression.
Remember the wave equation is v = lambda - f For electromagnetic waves traveling in a vacuum, they all travel at the speed of light c = 2.998 * 10 ^ 8 * m / s . An ultraviolet wave from the Sun traveling at the speed of light has a wavelength of 3 * 10 ^ - 8 * m . Calculate the frequency of this wave 8.85 * 10 ^ 15 * Hz; 2.33 * 10 ^ 13 * Hz; 9.99 * 10 ^ 13 * Hz; 9.99 * 10 ^ 15 * Hz
Rank the following parts of the electromagnetic(EM) spectrum from lowest to highest ENERGY. X-rays light 0microwaves e gamma rays 8 ultraviolet A radio waves 8 infrared Submit Answer Tries 0/2 Rank the following parts of the electromagnetic spectrum from shortest to longest WAVELENGTH O microwaves gamma rays X-rays infrared 8ultraviolet 8 light O radio waves
2. Astronaut A is moving away from Astronaut Bat half the speed of light. Astronaut A turns on and off a laser so that the beam is on for 1.00s as measured by Astronaut A. a. How fast is the light moving in the reference frame of Astronaut B? b. How much time is the beam on as measured by Astronaut B? c. The laser emits a wavelength of 635nm as seen in the reference frame of Astronaut A. What wavelength is observed in the reference frame of Astronaut B?
What is the Energy, in eV, of a light wave with frequency of 6 * 10^15 Hz?
An astronomer looking at a star's spectrum sees a bright emission line at 27.0e3GHz. What is the wavelength of the electromagnetic radiation creating the bright line in nanometers?