The second de Broglie equation is this: = E/h. The energy associated with a single photon is given by E = h , where E is the energy (SI units of J), h is Planck's constant (h = 6.626 x 1034 J s), and is the frequency of the radiation (SI units of s1 or Hertz, Hz) (see figure below). Multiply the resulting number by Planck's constant, which is 6.62610 34 J/Hz. Waves carry energy through a medium (like the atmosphere, the vacuum, or even the ocean). To calculate wavelength from the energy of a photon: Convert the photon's energy into joules. {/eq}, {eq}14903 \, cm^{-1} \times \large \frac{100 \, cm}{1 \, m} = 1.4903 \times 10^6 \, m^{-1} For example, short wavelengths are high energy gamma-rays and x-rays, long wavelengths are low energy radio waves. Choose a calculation to use the wavelength equation = v/f to solve for wavelength , velocity v or frequency f. Enter numbers, decimals or scientific notation as in 4.56e8. He has over 20 years teaching experience from the military and various undergraduate programs. Wavelength - (Measured in Meter) - Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire. We'll go over how to properly use e. {/eq} to wavelength in m: Common unit conversions and physical constants, {eq}h = 6.626 \times 10^{-34} \, J \, s How to calculate Wavelength Using Energy? You'll get a result in joules (J). The wavelength formula is: = \frac {hc} {E} Both h and c are constants, so the wavelength to energy conversion equation basically states that wavelength is proportional to the inverse of energy. 3) If the wavelength of a photon is 552 nm. By using E = h . I'll teach you how to calculate the wavelength, frequency, energy, number of photons, energy of mole of photons and more. 2. It only takes a few minutes to setup and you can cancel any time. How to Calculate Wavelength Using Energy. Wavelength - the length of a cycle 4. Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire. Anirudh Singh has created this Calculator and 300+ more calculators! Bohr's theory is a theory for the hydrogen atom based on quantum theory that energy is transferred only in certain well defined quantities. The Rydberg formula is the mathematical formula to compute the wavelength of light. 6.3 How is energy related to the wavelength of radiation? As a member, you'll also get unlimited access to over 84,000 That is, when the wavelength increases, energy decreases and when the wavelength decreases, energy increases. A proton with a greater mass will have a lower speed, while an electron with a lower mass will have a greater speed. {/eq}, {eq}\lambda = 6.71\times 10^{-7} \, m 1.478 x 10-18 J ANSWER: Solve for wavelength in equation [6.2b], = 1.196 10 8 Jnmmol 1 E m = 1.196 10 8 Jnmmol 1 386 10 3 Jmol 1 =309nm MathType@MTEF@5@5@+=faaagCart1ev2aaaKnaaaaWenf2ys9wBH5garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCaerbdfwBIjxAHbqee0evGueE0jxyaibaieYlf9irVeeu0dXdh9vqqj=hHeeu0xXdbba9frFj0=OqFfea0dXdd9vqaq=JfrVkFHe9pgea0dXdar=Jb9hs0dXdbPYxe9vr0=vr0=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@817C@, Author: William H. Brune, Distinguished Professor of Meteorology, College of Earth and Mineral Sciences. What are the National Board for Professional Teaching How to Register for the National Board for Professional How to Prep for the NYS Physics Regents Exam, Native Americans & European Exploration of Americas, Historical, Social, & Cultural Aspects of Literature, Holt Lifetime Health Chapter 7: Nutrition for Life, DNA Replication - Processes and Steps: Help and Review, Quiz & Worksheet - Zapotec Rituals, Symbols & Calendar, Quiz & Worksheet - Mesopotamian Demon Pazuzu, Quiz & Worksheet - Native American Origin Legends, Quiz & Worksheet - Vietnamese Facts & Food. The energy associated with a single photon is given by E = h , where E is the energy (SI units of J), h is Planck's constant (h = 6.626 x 10 -34 J s), and is the frequency of the radiation (SI units of s -1 or Hertz, Hz) (see figure below). Congratulations, you have just found your photon's wavelength in meters. So, b) Calculate the maximum wavelength of light for which photoemission occurs for light incident on a metal whose workfunction is 2.30 eV. Then enter a number value in one of the display boxes, and press the Calculate button, The corresponding conversions will appear in exponential form in the remaining boxes. If you want to calculate the wavelength of a wave, then all you have to do is plug the wave's speed and wave's frequency into the equation. Frequency in {eq}s^{-1} Except where otherwise noted, content on this site is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License. Note that as the wavelength of light gets shorter, the energy of the photon gets greater. f is the frequency taken. Calculate the energy of a photon. The relation between wavelength and energy is shown in Eq. It only takes a few minutes. 1 can be substituted in Eq. {/eq}, {eq}1.025 \times 10^{-7} \, m \times \large \frac{10^9 \, nm}{1 \, m} = 102.5 \, nm We can think of radiation either as waves or as individual particles called photons. Learn an EASY way to calculate the energy of a specific wavelength of electromagnetic radiation. Crow Native American Tribe: History, Facts & Culture, The Lakota of the Plains: Facts, Culture & Daily Life, Slavic Mythology: Gods, Stories & Symbols, Otomi People of Mexico: Culture, Language & Art, What is a Phonogram? Wavelength is denoted by symbol. Energy of radiation is inversely proportional to its wavelength. Having gained this energy during its acceleration, the . 2) What is the wavelength in meters of an FM radio wave with a frequency of 102.5 MHz? To find the wavelength of a wave, you just have to divide the wave's speed by its frequency. OR enter the energy in eV and click "Calculate and F" and the values will appear in the corresponding fields. Mechanical and electromagnetic waves with long wavelengths contain less energy than waves with short wavelengths. Threshold energy is the amount of energy it takes to remove an electron from a metallic surface, just like the work function. For a photon E=hc/lambda where h is Planck's constant of 6.626*10^-34 Joule seconds, c is the speed of light in meters/second and lambda is the wavelength in meters. (geometry) 2)you need to find the power emitted by 1m2 of the star. (geometry) 3) you find the surface temperature of the star (Stefan Bolzman Law) 4) you find the corresponding wavelength of the star ( Wien's Law) ( there is sufficient information for that)" Energy in Electron Volts is the energy consumed by the body when measured in electron volts. Calculate the number of photons produced per millisecond. Solution: 1) We need the energy of one photon: 890100 J/mol divided by 6.022 x 10 23 mol-1. K = 1 2 mv2 = p2 2m, where: h = 6.626 1034J s is Planck's constant. 2217 Earth and Engineering Sciences Building, University Park, Pennsylvania 16802 Thus, the speed of the given particle will vary inversely with its mass. 7.23805853573466E-13 Meter -->0.00723805853573466 Angstrom, The Wavelength Using Energy formula is defined as the distance covered by the wave in one oscillation.Si Unit of wavelength is meter and is represented as. I'll teach you how to calculate the wavelength, frequency, energy, number of photons, energy of mole of photons and more. The wavelength of a specific wave is the distance over which a wave repeats, as shown in Figure 1. f is the frequency of the light. Wavelength is velocity of wave divided by the frequency of the wave. Solution Step 1. Thanks for the support!\r\r HI I'M MELISSA MARIBEL\rI help students pass Chemistry. How do you find the threshold of a metal? What is the wavelength of the wavelength (in nm) of the spectral line that would be observed due to the transition of an excited electron at the 2p state to its 2s ground state in lithium? This courseware module is part of Penn State's College of Earth and Mineral Sciences' OER Initiative. Try refreshing the page, or contact customer support. 6.6 Which wavelength has the greatest spectral irradiance? - Biography & Accomplishments. To use this online calculator for Wavelength Using Energy, enter Mass in Dalton (M) & Energy in Electron Volts (EeV) and hit the calculate button. All other trademarks and copyrights are the property of their respective owners. 6.8 Kirchhoffs Law explains why nobody is perfect. 6.2 Start at the Source: Earth Rotating Around the Sun. Morgan has a PhD in Chemistry from the University of Oregon and a bachelor's degree in Chemistry and Physics from the University of Washington. These repeating patterns known as wavelengths are represented by the letter lambda (). Should wavelength be in meters or nanometers? . Energy scales: penetration through Earths atmosphere; radiation name by wavelength; physical object the size of that wavelength; frequency compared to wavelength; and temperature of an object that has its peak radiation at each wavelength. The John A. Dutton e-Education Institute is the learning design unit of the College of Earth and Mineral Sciences at The Pennsylvania State University. 6.2 Start at the Source: Earth Rotating Around the Sun. We can use 1 other way(s) to calculate the same, which is/are as follows -. Wavelength Using Energy calculator uses Wavelength = [hP]/sqrt(2*Mass in Dalton*Energy in Electron Volts) to calculate the Wavelength, The Wavelength Using Energy formula is defined as the distance covered by the wave in one oscillation.Si Unit of wavelength is meter. Momentum is the product of mass and velocity. This helps support the channel and allows me to continue making videos like this. Instead, they might disguise it as follows. 3. It's typical to need to perform a unit conversion on the wavelength value in order to get it to work in the equation. f = W/h where h is planck's constant. h is the Planck's constant i.e., h = 6.64 10 -34 joule-second. Step 2: Calculate the energy of the photon using the equation for a given frequency or the equation for a given wavelength. Energy is the ability to supply or create work. There are three symbols in this equation: a) stands for frequency (sometimes is replaced by f) b) E stands for kinetic energy. {/eq}, but these relationships are true when the frequencies are in {eq}m^{-1} The amount of energy they carry is related to their frequency and their amplitude. For example, if a an object with a mass of 10 kg (m = 10 kg) is moving at a velocity of 5 meters per second (v = 5 m/s), the kinetic energy is equal to 125 Joules, or (1/2 * 10 kg) * 5 m/s2. Common Core History & Social Studies Grades 9-10: Abnormal Psychology for Teachers: Professional Development, Orange Juice in Life of Pi: Quotes & Symbolism, 'War is Peace' Slogan in 1984: Meaning & Analysis. 1) you need to find the total energy/power received but the 1m2 on the orbit. Where to find benefactor serrano in gta 5? 2) calculate the kinetic energy of the neutron (i used joule for the energy unit): Determine the body's speed, v, in m/s . Use the correct units. Waves are signals that travel through air, water, light, and even wire as . To calculate a wave's wavelength simply divide its speed (in m/s) by its frequency (in 1/s): (1) The resulting wavelength will have units of length (m). The Pennsylvania State University 2020. Thus their momentum will be equal. The energy of a photon can be calculated in two ways: If the photon's frequency is known, we can use the formula E = h f. Max Planck proposed this equation, which is why it is known as Planck's equation. What is the formula to calculate wavelength? We will calculate the energy using the equation for the. Eh=n the term n should have units of photons/second. Where is the wavelength on a longitudinal wave? {/eq}, {eq}6.71\times 10^{-7} \, m \times \large \frac{10^9 \, nm}{1 \, m} = 671 \, nm The energy of a mole of photons that have the wavelength is found by multiplying the above equation by Avogadro's number: E m = hc N A = 1.196 10 8 Jnmmol 1 MathType@MTEF@5@5@+=faaagCart1ev2aaaKnaaaaWenf2ys9wBH5garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCaerbdfwBIjxAHbqee0evGueE0jxyaibaieYlf9irVeeu0dXdh9vqqj=hHeeu0xXdbba9frFj0=OqFfea0dXdd9vqaq=JfrVkFHe9pgea0dXdar=Jb9hs0dXdbPYxe9vr0=vr0=vqpi0dc9GqpWqaaeaabiGaciaacaqabeaadaabauaaaOqaaabbaaaaaaaaIXwyJTgapeGaamyra8aadaWgaaWcbaWdbiaad2gaa8aabeaak8qacaqGGcGaeyypa0JaaeiOamaalaaabaGaamiAaiaadogacaWGobWdamaaBaaaleaapeGaamyqaaWdaeqaaaGcpeqaaiabeU7aSbaacqGH9aqpcaqGGcWaaSaaa8aabaWdbiaaigdacaGGUaGaaGymaiaaiMdacaaI2aGaaeiOaiabgEna0kaabckacaaIXaGaaGima8aadaahaaWcbeqaa8qacaaI4aaaaOGaaeiiaiaabQeacaqGGaGaaeOBaiaab2gacaqGGcGaaeyBaiaab+gacaqGSbWdamaaCaaaleqabaWdbiabgkHiTiaaigdaaaaak8aabaWdbiabeU7aSbaaaaa@5A32@. Wavelength = (2*pi*Radius of Orbit)/Quantum Number Go Kinetic Energy given de Broglie Wavelength Energy = ( [hP]^2)/ (2*Mass of Moving Electron* (Wavelength^2)) Go De Broglie Wavelength for Electron given Potential Wavelength = 12.27/sqrt(Electric Potential Difference) Go Potential given de Broglie Wavelength of Electron lessons in math, English, science, history, and more. {/eq}, {eq}\tilde{v} = \large \frac{1}{\lambda} {/eq}, {eq}\lambda = 6.626 \times 10^{-34} \, J \, s \times \large \frac{2.99792458 \, m/s}{1.94 \times 10^{-18} \, J} The energy of a photon is given as, E = h f =. I know that with the right help, YOU CAN LEARN ANYTHING!\r\r FOLLOW ME\rInstagram: https://www.instagram.com/hellomelissam/ \rFacebook: https://www.facebook.com/hellomelissam/ \rTwitter: https://twitter.com/hellomelissamQuestions Covered in this Video: 1) Calculate the energy of X-rays with a wavelength of 15.0 nm. Please send comments or suggestions on accessibility to the site editor. 6.9 Why do objects absorb the way that they do? TExES Science of Teaching Reading (293): Practice & Study 10th Grade English Curriculum Resource & Lesson Plans, SAT Subject Test Biology: Practice and Study Guide. 6.5 What is the origin of the Planck Function? Which of the following is a reason for nonparticipation in trade shows. Contact Us, Privacy & Legal Statements | Copyright Information Get access to thousands of practice questions and explanations! In order to convert a wavelength to energy in electronvolts (eV): Utilize Planck's energy equation E = h c / . . {/eq} to wavelength in m: Frequency in {eq}m^{-1} Step 2: Convert the energy into a wavelength. First, convert nm to m. Nano- is 10 -9, so all you need to do is move the decimal place over 9 spots or divide by 10 9 . The attempt at a solution a) E = hf - where E is the maximum energy, h is Planck's constant and is the work function. Matilda's Telekinesis: How Did Matilda Get Her Powers? Randall Lewis received bachelor's degrees in chemistry and biology from Glenville State College. . p = mv is the linear momentum, m is the mass, and v is the speed. c 0 / E Symbols = Wavelength of EM wave h = Planck constant c 0 = Speed of light in a vacuum E = Photon energy Photon Energy Enter the energy per photon for the electromagnetic wave. {/eq}, {eq}\tilde{v} = 1.4903\times 10^6 \, m^{-1} {/eq}, Because energy and frequency are linearly related, we can use the frequency to determine the wavelength, {eq}\tilde{v} = \tilde{v}_f-\tilde{v}_i Contact us by phone at (877)266-4919, or by mail at 100ViewStreet#202, MountainView, CA94041. Max Planck provided the photon energy equation which calculated energy in Joules from: his constant Planck's constant, and the frequency in Hertz. 4 Use this equation to solve for speed or frequency. where: E is the. = h 2 m ( K. E) Where, is the wavelength of the electron. Cancel any time. As a wavelength increases in size, its frequency and energy (E) decrease. Wavelength can be calculated using the following formula: wavelength = wave velocity/frequency. {/eq}, {eq}\lambda = \large \frac{1}{\tilde{v}} Already registered? Ans: The de-Broglie wavelength of the particle is the same. Wavelength Using Energy calculator uses Wavelength = [hP]/sqrt(2*Mass in Dalton*Energy in Electron Volts) to calculate the Wavelength, The Wavelength Using Energy formula is defined as the distance covered by the wave in one oscillation.Si Unit of wavelength is meter. 6.11 What happens when we have both absorption and emission in the infrared? For wavelength,it can be rearranged as, Where, v is the wave speed, is Greek letter for wavelength and. From these equations you may realize that as the frequency increases, the wavelength gets shorter. Substitute the values of the wavelength (), Planck's constant (h = 6.6261 10 Js), and speed of light (c = 299792458 m/s). For hydrogen, at what wavelength does the n = 3 to n = 1 transition occur? How to calculate Wavelength Using Energy using this online calculator? There is an inverse relationship between the energy of a photon (E) and the wavelength of the light () given by the equation: E=hc/ where h is Planck's constant and c is the speed of light.. {/eq}, {eq}\lambda =\large \frac{1}{1.4903\times 10^6 \, m} Kinetic Energy - (Measured in Joule) - Kinetic Energy is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. I used to struggle with this subject, so when I finally graduated with a bachelor's degree in Chemistry, I became a tutor so that you wouldn't have to struggle like I did. {/eq}) and final state ({eq}E_f E = hc (3) E = h c ( 3) The calculated energy from the above relations is in joules. Thus, its kinetic energy is related to the wavelength as follows: p = h . Energy diagram for lithium in units of wavenumber, {eq}E = \large \frac{hc}{\lambda}, \, \tilde{v} = \large \frac{1}{\lambda} succeed. So, as the energy decreases, wavelength increases and vice versa as the energy of the radiation is inversely proportional to the wavelength of the radiation. {/eq}, The frequencies provided are in {eq}cm^{-1} copyright 2003-2022 Study.com. h is the planck's constant having the value 6.626 10 34. m is the mass of the electron ( 9.1 10 31 k g ). Problem #6a: Ionization energy is the energy required to remove an electron from an atom in the gas phase. In this formula, Wavelength uses Mass in Dalton & Energy in Electron Volts. {/eq}. How to calculate the wavelength of a wave in meters using a graph 2. Energy diagram for hydrogen in units of joules, {eq}E = -2.18 \times 10^{-18} \, J - (-2.24 \times 10^{-19} \, J)) = 1.94 \times 10^{-18} \, J Calculate the minimum wavelength of light that will ionize gold. c) h stands for Planck's Constant. Psychological Research & Experimental Design, All Teacher Certification Test Prep Courses, Calculating Wavelength of a Spectral Line from an Energy Diagram. In classical mechanics, kinetic energy (KE) is equal to half of an object's mass (1/2*m) multiplied by the velocity squared. The energy of a single photon that has the wavelength is given by: E= hc = 1.986 10 16 Jnmphoton 1 MathType@MTEF@5@5@+=faaagCart1ev2aaaKnaaaaWenf2ys9wBH5garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCaerbdfwBIjxAHbqee0evGueE0jxyaibaieYlf9irVeeu0dXdh9vqqj=hHeeu0xXdbba9frFj0=OqFfea0dXdd9vqaq=JfrVkFHe9pgea0dXdar=Jb9hs0dXdbPYxe9vr0=vr0=vqpi0dc9GqpWqaaeaabiGaciaacaqabeaadaabauaaaOqaaabbaaaaaaaaIXwyJTgapeGaamyraiaabckacqGH9aqpcaqGGcWaaSaaaeaacaWGObGaam4yaaqaaiabeU7aSbaacqGH9aqpcaqGGcWaaSaaa8aabaWdbiaaigdacaGGUaGaaGyoaiaaiIdacaaI2aGaey41aqRaaeiOaiaaigdacaaIWaWdamaaCaaaleqabaWdbiabgkHiTiaaigdacaaI2aaaaOGaaeiOaiaabQeacaqGGaGaaeOBaiaab2gacaqGGcGaaeiCaiaabIgacaqGVbGaaeiDaiaab+gacaqGUbWdamaaCaaaleqabaWdbiabgkHiTiaaigdaaaaak8aabaWdbiabeU7aSbaaaaa@5AA2@. The wavelength of the light determines its characteristics. {/eq}, {eq}E = hc\times (\tilde{v}_f - \tilde{v}_i) Energy is transformed between potential (stored) and kinetic (movement) energy as the particles go from rest to movement and back to rest. For example, what is the wavelength of a photon that has an energy of 3.36 10 J? When is the draw of dda housing scheme 2021? The Wavelength Using Energy formula is defined as the distance covered by the wave in one oscillation.Si Unit of wavelength is meter is calculated using. Consider the reaction O3 + UV O2 + O*. Wavelength is the distance between the crests of a wave. What is the energy of one mole of photons?4) How many photons are contained in a flash of green light (525 nm) that contains 189 kJ of energy? - Definition & Examples. The exponential notation: e+08 for 10 8 and e-11 for 10-11, may be used for the initial input, but is not necessary. You only need one equation and a couple constants. The formula is: E = h. Steps for Calculating Wavelength of a Spectral Line from an Energy Diagram. Stefan V. According to the equation E=nh (energy = number of photons times Planck's constant times the frequency), if you divide the energy by Planck's constant, you should get photons per second. The energy is inversely proportional to the wavelength. = hc E = 6.626 10Js 2.998 10ms 3.36 10J = 5.91 10 m = 591 nm Answer link So your equation can also look like this: (E=hv) - threshold energy = (Ek= 1/2me-ve^2)or exactly like the one you posted. {/eq}. Energy is transferred in waves through the vibration of particles, but the particles themselves move in a perpendicular fashion to the horizontal movement of the wave. Divide the speed of light, equal to 299,792,458 meters per second, by the photon's energy. Another quantity that you will often see is wavenumber, =1/, which is commonly reported in units of cm1. You can make these patterns yourself with the activity Investigating waves and energy. - Ranks, Size & Organization, How to Link Physical Activity to Learning & Performance, Developing Countries: Definition & Examples, Communication Methods in the Physical Education Classroom, The Japan-Korea Annexation Treaty of 1905, Who was Saladin? Variable Interval and the Schedule of Reinforcement: General Social Science and Humanities Lessons. To summarise, waves carry energy. Part 1 of 3: Calculating Wavelength Given Speed and Frequency Calculate wavelength with the wavelength equation. An error occurred trying to load this video. To calculate the wavelength, you need to know either the frequency or the energy of the radiation. {/eq}. Furthermore, some types of waves do not even require a physical medium to transport energy from one place to another, . The wavelength calculator solves for wavelength, velocity or frequency given 2 known variables. Wavelength will be in m. In order to find the relation between energy and wavelength, the value of frequency from Eq. In the lesson on atmospheric composition, you saw how solar UV radiation was able to break apart molecules to initiate atmospheric chemistry. Wave energy. 6.10 How much radiation is absorbed as radiation passes through matter? And K.E is the kinetic energy of the electron. Where is the wavelength of light. We'll go over how to properly use each formula used in the electromagnetic spectrum and of course, everything is step by step. 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