Energy Systems Course Quiz

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Questions and Answers

Who is the Ussher Assistant Professor for the Science of Energy and Energy Systems for this course?

David McCloskey (correct)
Addison Wesley
George B. Thomas
H.M. Schey

Which of the following is NOT a primary focus of this course?

Providing mathematical tools to describe light as a wave in a vector field.
Analyzing chemical reactions in energy systems (correct)
Connecting Electricity, Magnetism, and Light
Exploring the vectorial properties of light

Which textbook is listed as a primary resource for this course?

Div Grad Curl and all that
Optics by Hecht (correct)
University Physics
Thomas' Calculus: Early Transcendental

Besides lectures, which of the following is a component of the contact hours for this course?

Small group tutorials (C) Signup and view all the answers

How many lectures are scheduled for this course?

14 (C) Signup and view all the answers

What kind of problems are being used for CA (Continuous Assessment)?

Mastering Physics problems (C) Signup and view all the answers

Which of the following lab experiments is related to interference and diffraction?

JF Lab Exp 14 (C) Signup and view all the answers

Where can optional course content be found?

Blackboard (A) Signup and view all the answers

What does the expression $\oint \vec{E} \cdot d\vec{A} = \frac{Q_{encl}}{\epsilon_0}$ represent?

Gauss' Law (C) Signup and view all the answers

The equation $\oint \vec{B} \cdot d\vec{A} = 0$ mathematically expresses what?

The absence of magnetic monopoles (D) Signup and view all the answers

What physical phenomenon is described by the equation $\oint \vec{E} \cdot d\vec{l} = - \frac{d\Phi_B}{dt}$?

Faraday's Law (C) Signup and view all the answers

In the context of Maxwell-Ampère's Law, what quantity is represented by the term $\epsilon_0 \frac{d\Phi_E}{dt}$?

The displacement current (C) Signup and view all the answers

What is the significance of a wavefront moving in the +x direction with velocity $c$?

It depicts the propagation of an electromagnetic disturbance, where points behind the front experience E and B fields. (D) Signup and view all the answers

Which phenomenon is NOT typically associated with the wave nature of light in physical optics?

Refraction (D) Signup and view all the answers

What distinguishes Fraunhofer diffraction from Fresnel diffraction?

The distance between the aperture and the observation point. (B) Signup and view all the answers

Which optical element is most closely associated with manipulating the polarization state of light?

Polarizer (B) Signup and view all the answers

What is a key characteristic of coherent light sources compared to incoherent light sources?

They produce light with a well-defined phase relationship. (C) Signup and view all the answers

Which mathematical tool is used to describe the polarization of light?

Stokes Parameters (A) Signup and view all the answers

What phenomenon is exploited in thin film interference?

Superposition of light waves reflected from different interfaces. (C) Signup and view all the answers

In the context of diffraction, what does 'resolution' refer to?

The ability to distinguish between closely spaced objects. (C) Signup and view all the answers

Which of the following is a characteristic of geometrical optics?

The size scale is much larger than the wavelength. (B) Signup and view all the answers

According to the derivation, what is the relationship between $E$ and $B$?

$E = cB$ (D) Signup and view all the answers

What physical constants are required to determine the speed of electromagnetic waves using the derived formula?

Both permeability of free space ($\mu_0$) and permittivity of free space ($\epsilon_0$) (B) Signup and view all the answers

Given the values $\mu_0 = 4\pi \times 10^{-7} \frac{Tm}{A}$ and $\epsilon_0 = 8.85 \times 10^{-12} \frac{F}{m}$, which calculation correctly determines the speed of light ($c$)?

$c = \frac{1}{\sqrt{\mu_0 \epsilon_0}}$ (D) Signup and view all the answers

What is the significance of the Maxwell-Ampere correction to Ampere's Law?

It introduces the concept of displacement current due to a changing electric field. (C) Signup and view all the answers

If a cubical surface is placed in a uniform electric field E with two faces perpendicular to E, what can be said about the net electric flux through the cube?

The total flux is zero. (B) Signup and view all the answers

If a disturbance exists in the electromagnetic field, what can be determined using Maxwell's equations and the provided derivation?

The speed at which the disturbance propagates. (C) Signup and view all the answers

Which of the following is NOT a direct consequence of Maxwell's equations?

Electric charge is quantized. (C) Signup and view all the answers

What would be observed if the Ampere-Maxwell law did not include the displacement current term?

Changing electric fields would not produce magnetic fields. (B) Signup and view all the answers

What is the result of replacing $x'$ with $x - vt$ in the equation $\psi = e^{-ax'^2}$?

The wave moves to the right with velocity $v$. (C) Signup and view all the answers

In the context of harmonic waves, why are sine and cosine functions considered important?

Any periodic signal can be described as a sum of sine and cosine functions using Fourier transform. (C) Signup and view all the answers

What are the units of $k$ if $kx'$ is in radians and $x'$ is in meters?

radians/meter (A) Signup and view all the answers

Given the equation $\psi(x, t) = A \sin[k(x - vt)]$, what does $A$ represent?

Amplitude (A) Signup and view all the answers

If $\phi = k(x - vt)$, what does $\phi$ represent?

Phase (angle) (B) Signup and view all the answers

What physical phenomenon is described by the statement “the ‘disturbance’, $\psi$ is the same at any position $x$ and the position $x + \lambda$”?

Wave periodicity (B) Signup and view all the answers

What is the relationship between the second partial derivative of $\psi$ with respect to $x$ and the second partial derivative of $\psi$ with respect to $t$ according to the wave equation?

$\frac{\partial^2 \psi}{\partial x^2} = \frac{1}{v^2} \frac{\partial^2 \psi}{\partial t^2}$ (A) Signup and view all the answers

Given $\psi(x, t) = A \sin[k(x - vt)]$, what happens to $\psi(x, t)$ if $x$ is replaced by $x + \lambda$, where $\lambda$ is the wavelength?

$\psi(x, t)$ remains the same. (B) Signup and view all the answers

What condition must be met for a sine wave to repeat every $\lambda$?

$k \lambda = 2\pi$ (A) Signup and view all the answers

How is the period $T$ related to wavelength $\lambda$ and wave velocity $v$?

$T = \frac{\lambda}{v}$ (D) Signup and view all the answers

What is the angular frequency $\omega$ in terms of frequency $f$?

$\omega = 2\pi f$ (A) Signup and view all the answers

If a wave has a phase shift, what does this imply about the wave's 'disturbance' at the origin?

The 'disturbance' is not necessarily zero at the origin. (B) Signup and view all the answers

Which of the following expressions represents a wave with a phase shift $\epsilon$?

$\psi(x, t) = A \cos(kx - \omega t + \epsilon)$ (C) Signup and view all the answers

What is the relationship between wavenumber $k$ and wavelength $\lambda$?

$k = \frac{2\pi}{\lambda}$ (B) Signup and view all the answers

Given $\psi = \sin(\phi - \frac{\pi}{4})$, how can this be interpreted?

A sine function shifted by $\frac{\pi}{4}$ (C) Signup and view all the answers

How is $\cos(\phi)$ related to a sine function?

$\cos(\phi) = \sin(\phi + \frac{\pi}{2})$ (C) Signup and view all the answers

Flashcards

Electromagnetic Waves

Waves that propagate through space and include light, radio, and X-rays, composed of oscillating electric and magnetic fields.

Polarisation

The orientation of oscillations in a light wave, which can be linear, circular, or elliptical.