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If a photon was able to remove an electron from a metal plate that had a bindin…

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Wize University Chemistry Textbook > Early Atomic Theory to Quantum Theory

Wave-Particle Duality & the de Broglie Equation

4 Activities

Wize University Chemistry Textbook > Early Atomic Theory to Quantum Theory

The Photoelectric Effect

5 Activities

If a photon was able to remove an electron from a metal plate that had a binding energy of 2 x 10-20 J, what was the frequency of the wave?

If the answer has an exponent write it like this 1.23x10^4 (no spaces)
More Wave-Particle Duality & the de Broglie Equation Questions:
Light Energy
The energy content of a particular form of light is 1.572 J per mole of photons. What is the wavelength of this light? (Choose the closest answer.)
Electromagnetic radiation: Wave energy
A laser emits light at a wavelength of 710 nm.
What is the frequency of this light?
What is the de Broglie wavelength of a 20 kg dog? (Note: 1 J  = 1 kg m2s21\ J\ \ =\ 1\ kg\ \frac{m^2}{s^2})
Light and EM Multipart Question
You have a laser that emits light at a wavelength of 710 nm.
Electromagnetic radiation: Wave energy
A laser emits light at a wavelength of 710 nm.
What is the frequency of this light?
Work Function
The work function of metallic cesium is 3.36×10−19 J. What is the threshold wavelength of light required to emit electrons from the surface of metallic cesium?
Light Energy
The energy content of a particular form of light is 1.572 J per mole of photons. What is the wavelength of this light? (Choose the closest answer.)
H atom
A hydrogen atom, initially in its lowest energy level, absorbs a photon with a wavelength of 93.1 nm. What is the final energy level?
H-like system
Which of the following electron transitions for the hydrogen atom is associated with the longest photon wavelength?
de Broglie wavelength
Which of the following objects has the longest de Broglie wavelength? Assume they are all moving at the same speed.
Wave particle duality
The wavelike character of ordinary objects like a thrown baseball cannot be detected because:
Energy of Light
A domestic microwave generates radiation of wave length 9.3 cm (very low energy).
a. What are the energy values per photon and per mole of of photons?
b. Calculate the frequency of this radiation
Water can absorb infrared radiation at a wavelength of1.06×104 m{\small 1.06\times10^4 \text{ m}}. If a 180 g sample of water is irradiated at this wavelength, calculate the number of photons required to raise the temperature by 25.0°C(CH2O=4.184Jg°C){\small \degree \text{C} \left(C_{H_2O} =4.184\frac{J}{g\degree C} \right)}
Electromagnetic radiation: Wave Energy
Calculate the energy of one photon whose wavelength is 589 nm.
How heavy is a particle whose de Broglie wavelength is 1.87 x 10-16 m?
Practice Problem 1: de Broglie Equation
What is the energy associated with the de Broglie wavelength of a 1000 kg car? ((1 J = 1kgm2s2)\left(1\ J\ =\ 1kg\frac{m^2}{s^2}\right)
An emission spectrum for a one-electron species is shown below. All the lines correspond to transitions ending at the energy level n = 3. Line B has a wavelength of 165 nm. Identify the species that produced this spectrum.
Identify the species in the spectrum above
If a photon was able to remove an electron from a metal plate that had a binding energy of 2 x 10-20 J, what was the frequency of the wave?
Wave Particle Duality: de Broglie's Postulate
Calculate the de Broglie wavelength for the following objects. For each one decide whether they are best treated as classical or quantum mechanical particles
A proton moving at 1% of the speed of light
How heavy is a particle whose de Broglie wavelength is 1.87 x 10-16 m?
What is the de Broglie wavelength of a 20 kg dog? (Note: 1 J  = 1 kg m2s21\ J\ \ =\ 1\ kg\ \frac{m^2}{s^2})
Wave Particle Duality and the Heisenberg Uncertainty Principle
A beam of electrons is accelerated towards a thin metal foil and diffracts to give the exact same pattern as a blue laser with wavelength of 480nm. (me = 9.11 x 10-31 kg)
a) What speed were the electrons accelerated to?'
b) If we measure the speed to a precision of ± 1% what is the minimum uncertainty in the position of the electron?
A proton (mp = 1.6726 x 10-27 kg) was found to have a de Broglie wavelength of 522 nm. How fast was the particle moving?
Quantum Model: de Broglie's Equation
What is the energy associated with the de Broglie wavelength of a 1000 kg car? ((1 J = 1 kgm2s2)\left(1\ J\ =\ 1\ kg\frac{m^2}{s^2}\right)
Wave-Particle Duality: Wave Energy
Scientists in the lab were preparing a new chemical reaction. Upon mixing the chemicals, the reaction began to emit a great deal of light. The scientists were able to determine that each photon of light was releasing 8.32 x 10-19 J of energy. What is the wavelength of this light? What is the frequency?
Wave Particle Duality: de Broglie's Postulate
The electrons used in electron microscopy have a velocity of 70% of the speed of light. What is their wavelength in nm?
The reason that we can't measure the position and velocity of a particle to infinite precision is?
What wavelength of light corresponds to a transition from a 6p orbital to a 1s orbital in hydrogen?
Report your answer to three significant figures in nm. Please do not include units in the answer field.
The experiment that showed electrons can behave like waves is the:
de Broglie's postulate: Wavelength of Lance Armstrong
During the tour de France in 2010, Lance Armstrong reached a speed of 57.8km/h descending one of the mountains. If we treat Lance and his bike as a single particle with a weight of 100kg what is the wavelength of Lance Armstrong?
Young's Double-Slit Experiment
If you shoot a beam of electrons at a piece of metal with two small slits in it, a diffraction pattern appears on the detector on the otherside. This is often refereed to as a two slit experiment. This result shows that,
What is the wavelength of an electron traveling at 5% the speed of light?
More The Photoelectric Effect Questions:
Work Function
The work function of metallic cesium is 3.36×10−19 J. What is the threshold wavelength of light required to emit electrons from the surface of metallic cesium?
Photoelectric Effect
The threshold wavelength for a neodymium (Nd) metal surface is 387 nm. What wavelength of light causes electrons to be ejected from the surface with a maximum kinetic energy of 1.473×10−18 J? (Choose the closest answer.)
Work Function
X-ray of frequency 1.53 ⋅\cdot 1016 Hz cause emission of electrons from a metal surface with a maximum kinetic energy of 1.313 ⋅\cdot 106 Jmol−1. Calculate the threshold frequency of the material.
Photoelectric effect: Threshold frequency
If we are told that a certain metal's threshold frequency to displace an electron is 9.12x1014Hz and we shine violet light (400nm) on the metal, would an electron be displaced?
Let's first write out our light equations so we can be reminded of how the variables are related:
E=hv c=λ(v)
An element is bombarded with a beam of X-rays of wavelength 0.75664 nm. Upon irradiation electrons are ejected with a velocity of 2.35 x 107 m/s.
Photoelectric effect: Work Function of Platinum
The binding energy for a material, sometimes know as the work function, can be found by irradiating a surface with a laser of sufficiently high energy and then measuring the kinetic energy of the ejected electrons. A researcher has found a new morphology of Platinum and is wondering if the work function has been modified. To test this the researcher irradiates the new form of Platinum with a UV-Laser with a wavelength of 125 nm and measures the kinetic energy of the electrons being ejected at 5.74 x 10-19 J. What is the work function of the new Platinum morphology? (1.60 x 10-19J = 1 eV)
Photoelectric effect: Binding Energy of Platinum
The binding energy for a material, sometimes known as the work function, can be found by irradiating a surface with a laser of sufficiently high energy and then measuring the kinetic energy of the ejected electrons. A researcher has found a new morphology of Platinum and is wondering if the binding energy has been modified. To test this the researcher irradiates the new form of Platinum with a UV-Laser with a wavelength of 125 nm and measures the kinetic energy of the electrons being ejected at 5.74 x 10-19 J. What is the binding energy of the new Platinum morphology? (1.60 x 10-19J = 1 eV)
The binding energy of Fe(s) is 612 kJ/mol.
a) What is the longest wavelength of light that can ionize a sample of iron metal? (Report your answer to three significant figures in nm; do not include the unit in the answer field)
b) Iron is irradiated with light of wavelength 12nm. What velocity does the electron leave the surface with? (Report your to three significant figures in scientific notation in m/s; do not include the unit in the answer field)
Periodic Trends: Ionization of an Excited Hydrogen Atom
A sample of hydrogen atoms is thermally excited so that the electrons are resting in the n=3 state. What is the wavelength of the lowest energy photon capable of ionizing these excited hydrogen atoms?
Elements: Binding Energy
An element is bombarded with a beam of X-rays of wavelength 0.75664nm. Upon irradiation, electrons are ejected with a velocity of 2.35 x 107 m/s.
What is the binding energy for the element?
Photoelectric effect: Practice
A metal surface is irradiated by light from a laser with a wavelength of 492 nm. No electrons are measured leaving the surface. What is the most likely explanation