Consider two beams of light, which are shining onto perfectly absorbent black barrels. The amplitude of Beam 1 is the greater than the amplitude of Beam 2 (A₁ = 2A₂), and the wavelength of Beam 1 is longer than the wavelength of Beam 2 (₁ = 3^₂/2). Is the total energy in Beam 1 greater than, less than, or equal to the total energy in Beam 2? Explain your reasoning. a) b) Is the number of photons in Beam 1 greater than, less than, or equal to the number of photons in Beam 2? First, explain your reasoning qualitatively, then determine the number of photons in Beam 1 if there are 2-10° photons in Beam 2. The electric field from Beam 1 is drawn again on the axes below. On the same axes, draw another beam (Beam 3) that has the same number of photons as Beam 1, but is made of redder light. Pay attention to both the wavelength and the amplitude of the wave. Explain your reasoning. Beam 1 Beam 2

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
icon
Related questions
Question
**4. [Blank]**

Consider two beams of light, which are shining onto perfectly absorbent black barrels. The amplitude of Beam 1 is the greater than the amplitude of Beam 2 (\(A_1 = 2A_2\)), and the wavelength of Beam 1 is longer than the wavelength of Beam 2 (\(\lambda_1 = 3\lambda_2/2\)).

a) **[Blank]** Is the total energy in Beam 1 greater than, less than, or equal to the total energy in Beam 2? Explain your reasoning.

b) **[Blank]** Is the number of photons in Beam 1 greater than, less than, or equal to the number of photons in Beam 2? First, explain your reasoning qualitatively, then determine the number of photons in Beam 1 if there are \(2 \cdot 10^9\) photons in Beam 2.

c) **[Blank]** The electric field from Beam 1 is drawn again on the axes below. On the same axes, draw another beam (Beam 3) that has the same number of photons as Beam 1, but is made of redder light. Pay attention to both the wavelength and the amplitude of the wave. Explain your reasoning.

**Diagram Explanation:**

1. **Top Diagram:** 
   - Shows two sinusoidal waves representing the electric fields of Beam 1 and Beam 2.
   - Beam 1 has larger peaks due to its greater amplitude compared to Beam 2. The wavelength of Beam 1 is longer than that of Beam 2, as seen by the more stretched out pattern of the wave.

2. **Lower Diagram:** 
   - Depicts a sinusoidal curve representing the electric field for Beam 1.
   - The x-axis represents position, and the y-axis represents the electric field (\(E\)).
   - The task is to draw another wave on the same graph, representing Beam 3, with the same number of photons as Beam 1 but with a longer wavelength (redder light), indicating lower energy photons.
Transcribed Image Text:**4. [Blank]** Consider two beams of light, which are shining onto perfectly absorbent black barrels. The amplitude of Beam 1 is the greater than the amplitude of Beam 2 (\(A_1 = 2A_2\)), and the wavelength of Beam 1 is longer than the wavelength of Beam 2 (\(\lambda_1 = 3\lambda_2/2\)). a) **[Blank]** Is the total energy in Beam 1 greater than, less than, or equal to the total energy in Beam 2? Explain your reasoning. b) **[Blank]** Is the number of photons in Beam 1 greater than, less than, or equal to the number of photons in Beam 2? First, explain your reasoning qualitatively, then determine the number of photons in Beam 1 if there are \(2 \cdot 10^9\) photons in Beam 2. c) **[Blank]** The electric field from Beam 1 is drawn again on the axes below. On the same axes, draw another beam (Beam 3) that has the same number of photons as Beam 1, but is made of redder light. Pay attention to both the wavelength and the amplitude of the wave. Explain your reasoning. **Diagram Explanation:** 1. **Top Diagram:** - Shows two sinusoidal waves representing the electric fields of Beam 1 and Beam 2. - Beam 1 has larger peaks due to its greater amplitude compared to Beam 2. The wavelength of Beam 1 is longer than that of Beam 2, as seen by the more stretched out pattern of the wave. 2. **Lower Diagram:** - Depicts a sinusoidal curve representing the electric field for Beam 1. - The x-axis represents position, and the y-axis represents the electric field (\(E\)). - The task is to draw another wave on the same graph, representing Beam 3, with the same number of photons as Beam 1 but with a longer wavelength (redder light), indicating lower energy photons.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 5 images

Blurred answer
Knowledge Booster
Wien's Displacement law
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON