Skip to main content
Ch 01: Units, Physical Quantities & Vectors
Chapter 1, Problem 38

A laser used to weld detached retinas emits light with a wavelength of 652 nm in pulses that are 20.0 ms in duration. The average power during each pulse is 0.600 W. (a) How much energy is in each pulse in joules? In electron volts?

Verified step by step guidance
1
Calculate the total energy in each pulse in joules using the formula for energy, which is the product of power and time. Use the formula: \( E = P \times t \), where \( E \) is the energy in joules, \( P \) is the power in watts, and \( t \) is the time in seconds.
Convert the time from milliseconds to seconds by dividing by 1000, since there are 1000 milliseconds in a second.
Substitute the values for power and time into the formula to find the energy in joules.
Convert the energy from joules to electron volts using the conversion factor: 1 electron volt (eV) is equal to approximately \( 1.602 \times 10^{-19} \) joules. Use the formula: \( E_{\text{eV}} = \frac{E_{\text{J}}}{1.602 \times 10^{-19}} \).
Substitute the energy in joules into the conversion formula to find the energy in electron volts.

Verified Solution

Video duration:
3m
This video solution was recommended by our tutors as helpful for the problem above.
Was this helpful?

Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Energy and Power Relationship

Energy is defined as the capacity to do work, and power is the rate at which energy is transferred or converted. The relationship between energy (E), power (P), and time (t) can be expressed as E = P × t. In this context, the energy contained in each pulse of the laser can be calculated by multiplying the average power of the laser by the duration of the pulse.
Recommended video:
Guided course
03:43
Relationships Between Force, Field, Energy, Potential

Wavelength and Energy of Photons

The energy of a photon is inversely related to its wavelength, described by the equation E = hc/λ, where h is Planck's constant and c is the speed of light. This relationship indicates that shorter wavelengths correspond to higher energy photons. For the laser light with a wavelength of 652 nm, this concept is essential for converting the energy calculated in joules to electron volts, a common unit for photon energy.
Recommended video:
Guided course
05:42
Unknown Wavelength of Laser through Double Slit

Conversion between Joules and Electron Volts

An electron volt (eV) is a unit of energy defined as the amount of kinetic energy gained by a single electron when accelerated through an electric potential difference of one volt. The conversion factor between joules and electron volts is 1 eV = 1.602 x 10^-19 joules. Understanding this conversion is crucial for expressing the energy of the laser pulse in both joules and electron volts, as required by the question.
Recommended video:
Guided course
07:46
Unit Conversions
Related Practice
Textbook Question
Why Are We Bombarded by Muons? Muons are unstable subatomic particles that decay to electrons with a mean lifetime of 2.2 ms. They are produced when cosmic rays bombard the upper atmosphere about 10 km above the earth's surface, and they travel very close to the speed of light. The problem we want to address is why we see any of them at the earth's surface. (a) What is the greatest distance a muon could travel during its 2.2@ms lifetime? (b) According to your answer in part (a), it would seem that muons could never make it to the ground. But the 2.2@ms lifetime is measured in the frame of the muon, and muons are moving very fast. At a speed of 0.999c, what is the mean lifetime of a muon as measured by an observer at rest on the earth? How far would the muon travel in this time? Does this result explain why we find muons in cosmic rays? (c) From the point of view of the muon, it still lives for only 2.2 ms, so how does it make it to the ground? What is the thickness of the 10 km of atmosphere through which the muon must travel, as measured by the muon? Is it now clear how the muon is able to reach the ground?
756
views
Textbook Question
As you pilot your space utility vehicle at a constant speed toward the moon, a race pilot flies past you in her spaceracer at a constant speed of 0.800c relative to you. At the instant the spaceracer passes you, both of you start timers at zero. (a) At the instant when you measure that the spaceracer has traveled 1.20 * 108 m past you, what does the race pilot read on her timer? (b) When the race pilot reads the value calculated in part (a) on her timer, what does she measure to be your distance from her? (c) At the instant when the race pilot reads the value calculated in part (a) on her timer, what do you read on yours?
476
views
Textbook Question
A photon of green light has a wavelength of 520 nm. Find the photon's frequency, magnitude of momentum, and energy. Express the energy in both joules and electron volts.
1135
views
Textbook Question
A photon has momentum of magnitude 8.24 * 10-28 kg # m>s. (b) What is the wavelength of this photon? In what region of the electromagnetic spectrum does it lie?
424
views
Textbook Question
The photoelectric threshold wavelength of a tungsten surface is 272 nm. Calculate the maximum kinetic energy of the electrons ejected from this tungsten surface by ultraviolet radiation of frequency 1.45 * 10^15 Hz. Express the answer in electron volts.
540
views
Textbook Question
What would the minimum work function for a metal have to be for visible light (380–750 nm) to eject photoelectrons?
548
views