@?school

See Also [[Physics - Waves]]S Flashcards When is a standing wave formed?? When two waves with the same frequency and amplitude travelling in opposite directions are superimposed. What are the points of total constructive interference in a standing wave called?? Antinodes. What are the points of total destructive interference in a standing wave called?? Nodes. What is the seperation between adjacent nodes or antinodes in a standing wave?? $$ \frac{\lambda}{2} $$

Flashcards $$\frac{24\pi (t - 1)}{1 + \sqrt{t}}$$ How can you integrate this?? Rewrite as $$ \frac{24\pi (\sqrt{t} - 1)(\sqrt{t} + 1)}{\sqrt{t} + 1} = 24\pi (\sqrt{t} - 1) $$ When checking if something is a counterexample, what should you do?? Make sure that the counterexample follows the definition of what is valid. $$\log(ab^2c) = 7$$ If you have 3 sets of equations of something like this, how can you rewrite it?? As a set of simultaneous equations in the form $\log a + 2\log b + \log c = 7$

See Also [[Physics - Quantum Physics]]S [[Physics - The Photoelectric Effect]]S Flashcards What’s the evidence that light exists as a particle?? The photoelectric effect. What’s the evidence that light exists as a wave?? They form diffraction patterns. What’s the evidence that electrons exist as a wave?? They form diffraction patterns. What would you expect when firing electrons through two slits if they are a particle?? There should be two bright spots and no inteference pattern.

See Also [[Maths - Proof by Contradiction]]S [[Maths - Proof Roots of Primes are Irrational]]S Backlinks [[Maths - Proof by Contradiction]]S [[Maths - Syllabus]]S Metadata date: 2021-06-06 11:39 tags: - '@?public' - '@?school' - '@?maths' - '@?proof' title: Maths - Proof

See Also [[Maths - Proof Roots of Primes are Irrational]]S [[Maths - Proof]]S Flashcards How can you prove a statement is FALSE by contradiction?? Find a counterexample. How can you prove a statement is TRUE by contradiction?? Negate the statement and assume it’s false. Prove this leads to a contradiction. What would be the negated statement for “if $n^2$ is even, $n$ must be even”?? “there exists an odd number $n$ such that $n^2$ is even”

See Also [[Maths - Integration]]S [[Maths - Differentiation]]S Flashcards What type of answer do you normally get for differential equation questions?? A family of curves. What’s the general process for solving a differential equation question like $$\frac{dy}{dx} = \frac{y + 1}{x}$$?? Seperate the two variables and put them on either side of the equation. Integrate both sides with respect to $x$. Rearrange. $$\int \frac{1}{y + 1} \frac{dy}{dx} dx$$ What does this simplify down to?

See Also [[Physics - Waves]]S [[Physics - Standing Waves]]S Flashcards At what phase differences does total constructive superposition occur?? $$ 0, 2\pi, 4\pi, 6\pi, 8\pi, … $$ At what phase differences does total destructive superposition occur?? $$ \pi, 3\pi, 5\pi, 7\pi, 9\pi $$ What requirement other than phase difference is there for total destructive superposition?? Both waves need to have the same amplitude. 2021-05-27 What does it mean for two wave sources to be coherent?

See Also [[Stats - Binomial Distribution]]S Flashcards What is the notation for $X$ being a random variable following a normal distribution with mode $\mu$ and standard deviation $\sigma$?? $$ X ~ N(\mu, \sigma^2) $$ What is this?? The normal distribution. What is the area under the normal distribution?? $$ 1 $$ What is required for a random variable $X$ to follow a normal distribution?? It has to be continious. How would you find $P(170 < X < 190)$ for the normal distribution?

See Also [[Physics - Quantum Physics]]S [[Physics - Electromagnetic Radiation]]S Flashcards What is the photoelectric effect?? The release of an electron when a photon is incident on a metal surface. When does the photoelectric effect occur?? When the photons incident on a material have a frequence above a threshold frequence $f_0$. Why was the discovery of the photoelectric effect significant?? It showed that light was a particle as well as a wave.

See Also [[Physics - Quantum Physics]]S [[Physics - The Photoelectric Effect]]S Flashcards What is the equation for the energy of a photon in terms of frequency?? $$ E = hf $$ What is the equation for the energy of a photon in terms of wavelength?? $$ E = \frac{hc}{\lambda} $$ What is the approximate value of $h$, Plank’s constant?? $$ 6.63 \times 10^{-34} $$ What unit is commonly used for the energy on a photon?

See Also [[Physics - Electromagnetic Radiation]]S [[Physics - The Photoelectric Effect]]S Flashcards Why is it called “quantum” physics?? Because energy exists in “quanta” or “packets”. Backlinks [[Physics - Electromagnetic Radiation]]S [[Physics - The Photoelectric Effect]]S [[Physics - Syllabus]]S [[Physics - Wave-Particle Duality]]S Metadata date: 2021-05-24 15:36 tags: - '@?school' - '@?public' - '@?physics' - '@?quantum' - '@?year-1' title: Physics - Quantum Physics

See Also [[Maths - Integration]]S [[Maths - Integration by Substitution]]S [[Further Maths - Integrating and Differentiating Inverse Trig Functions]]S Flashcards $$\int u \frac{dv}{dx} dx$$ How can you rewrite this?? $$ uv - \int v \frac{du}{dx} $$ What table of $4$ variables should you create when doing integration by parts?/ $$ u, v, \frac{du}{dx}, \frac{dv}{dx} $$ $$\int x e^x dx$$ What are the variables you’d use for integration by parts?