Astrophysics and Rocket Science Lectures
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Questions and Answers

What primarily determines the peak emission wavelength of blackbody radiation?

  • The number of particles in the object
  • The temperature of the object (correct)
  • The material composition of the object
  • The volume of the radiating object

What causes Thermal Bremsstrahlung radiation?

  • Electrons transitioning between energy levels
  • Nuclear fusion reactions
  • Charged particles interacting with other charged particles (correct)
  • Charged particles accelerating in magnetic fields

In Synchrotron Radiation, what primarily causes the acceleration of charged particles?

  • Gravitational forces
  • Magnetic and electric fields (correct)
  • Nuclear reactions
  • Changes in temperature

What is the key characteristic of degenerate matter?

<p>Electron energy levels are primarily determined by the Pauli Exclusion Principle. (D)</p> Signup and view all the answers

What effect does electron degeneracy pressure have on stellar matter?

<p>It resists gravitational collapse. (A)</p> Signup and view all the answers

What is the primary trigger for a Type II supernova?

<p>The fusion of iron in the core of a massive star (D)</p> Signup and view all the answers

What is the typical energy output difference between a type II and a type Ia supernova?

<p>Type II emits roughly 100 times more energy than a Type Ia (C)</p> Signup and view all the answers

What is the typical remnant formed from a Type II supernova if the core is less than 3 solar masses?

<p>A neutron star (B)</p> Signup and view all the answers

What is the kinetic energy of a photoelectron ejected from a detector with a work function of 1.1 eV when hit by a photon with an energy of 2.3 eV?

<p>1.2 eV (A)</p> Signup and view all the answers

A gamma ray photon with a wavelength of $3 \times 10^{-14}$ m collides with an electron. What formula should correctly be used to find momentum of the photon before the collision?

<p>$p = \frac{h}{\lambda}$ (C)</p> Signup and view all the answers

A gamma ray photon collides with an electron and changes direction by 60 degrees. What quantity is used to calculate the change in the photon’s wavelength?

<p>The Compton scattering formula (B)</p> Signup and view all the answers

Why is photoelectric effect more suitable than Compton scattering for accurately measuring the total energy of a photon?

<p>Photoelectric effect transfers all photon energy to the target electrons. (C)</p> Signup and view all the answers

What is the minimum energy of a photon, in MeV, required to create an electron-positron pair?

<p>1.022 MeV (C)</p> Signup and view all the answers

What is the relationship between frequency and wavelength for a photon?

<p>They are inversely proportional. (B)</p> Signup and view all the answers

What happens to the energy of a photon after it undergoes Compton scattering?

<p>The photon loses some energy. (B)</p> Signup and view all the answers

What is the primary process responsible for the production of a full spectrum of radiation in a quasar?

<p>Accretion onto a supermassive black hole (B)</p> Signup and view all the answers

According to the conservation of linear momentum, what is the ratio of the initial velocity of the small mass ($u$) to the final velocity of the large mass ($v$)?

<p>$\frac{M}{m}$ (C)</p> Signup and view all the answers

In a collision between a small mass ($m$) and a large mass ($M$), which mass gets most of the kinetic energy?

<p>The small mass ($m$) (A)</p> Signup and view all the answers

What is the role of a scintillation material in an active veto?

<p>To detect incident photons by absorbing energy via Compton scattering. (C)</p> Signup and view all the answers

What was the primary issue with early solar neutrino detectors?

<p>They were measuring a different neutrino flux than expected. (D)</p> Signup and view all the answers

What was a key advancement by Goddard regarding liquid propellant?

<p>He used turbopumps to pressurize liquid propellant. (B)</p> Signup and view all the answers

What method did Goddard pioneer to control the orientation of rockets?

<p>The use of gyroscopes connected to moving surfaces on fins and exhaust deflectors. (A)</p> Signup and view all the answers

What is described as the 'actual exhaust velocity' in rocket science?

<p>The speed of hot gases as they leave the rocket nozzle. (B)</p> Signup and view all the answers

What best describes an active veto?

<p>A system that uses a scintillation material to identify and reject unwanted events. (B)</p> Signup and view all the answers

What is the total change in velocity (∆𝑣) required for the liquid propellant rocket engine?

<p>8233 m/s (B)</p> Signup and view all the answers

How long does the chemical liquid propellant rocket engine burn for?

<p>800 seconds (A)</p> Signup and view all the answers

What is the force produced by the chemical liquid propellant rocket engine?

<p>5150250 N (B)</p> Signup and view all the answers

What is the specific impulse of the electromagnetic Hall effect rocket engine?

<p>4000 (A)</p> Signup and view all the answers

What is the total burn time for the electromagnetic Hall effect rocket engine?

<p>139 days (A)</p> Signup and view all the answers

Which equation calculates the change in velocity (∆𝑣) for a rocket engine?

<p>∆𝑣 = I𝑠𝑝 g ln[𝑀𝑅] (B)</p> Signup and view all the answers

What does Kepler’s 3rd law express regarding elliptical orbits?

<p>The time period based on semi-major axis (A)</p> Signup and view all the answers

How much energy is required to transition from low Earth orbit to lunar orbit?

<p>Energy required is not specified (A)</p> Signup and view all the answers

What is the escape velocity from Earth?

<p>11.17 km/s (B)</p> Signup and view all the answers

What is the required velocity to maintain the International Space Station in its orbit 418 km above the Earth's surface?

<p>7.653 km/s (D)</p> Signup and view all the answers

What is the calculated periapsis radius for a satellite with a semi-major axis of 12,000 km and eccentricity of 0.5?

<p>6,000 km (B)</p> Signup and view all the answers

What gravitational constant value is used in the escape velocity calculation?

<p>6.67×10−11 Nkg-2m2 (A)</p> Signup and view all the answers

What is the semi-major axis of an elliptical orbit with eccentricity e = 0.5 given in the context?

<p>12,000 km (D)</p> Signup and view all the answers

What is the radius of the apoapsis for a satellite with a semi-major axis of 12,000 km and eccentricity 0.5?

<p>18,000 km (C)</p> Signup and view all the answers

What formula represents the escape velocity from a celestial body?

<p>$V_{escape} = \sqrt{\frac{2GM}{R}}$ (C)</p> Signup and view all the answers

What is the formula for gravitational potential energy of a spacecraft orbiting Earth?

<p>$U = -\frac{G M_E m}{R}$ (A)</p> Signup and view all the answers

What represents the total energy of an elliptical orbit?

<p>$E = -\frac{G M_E m}{2a}$ (C)</p> Signup and view all the answers

If a spacecraft is at a low Earth orbit of 500 km altitude, what is the distance $R$ from the center of the Earth?

<p>$R = 6400 km + 500 km$ (B)</p> Signup and view all the answers

What is the mass of the Space X Starship?

<p>1,320,000 kg (A)</p> Signup and view all the answers

What altitude corresponds to the radius of the orbit when moving towards the Moon?

<p>384,400 km (C)</p> Signup and view all the answers

What must a spacecraft temporarily enter to move between two circular orbits?

<p>An elliptical orbit (A)</p> Signup and view all the answers

What does the term $, \Delta v_1$ refer to in orbit transfer?

<p>The change in velocity required (D)</p> Signup and view all the answers

What is the formula used to calculate the total energy associated with the orbits?

<p>$E = K + U$ (D)</p> Signup and view all the answers

Flashcards

What is Blackbody Radiation?

The distribution of energy among the particles in a fixed volume at a certain temperature. It's characterized by a peak emission wavelength that shifts towards shorter wavelengths as the temperature increases. The intensity of the radiation depends on the number of photons emitted per second.

What are the differences between Thermal Bremsstrahlung and Synchrotron Radiation?

Thermal Bremsstrahlung (TB) involves charged particles accelerating due to interactions with other charged particles. The acceleration rate determines the emitted frequency, with higher acceleration leading to higher frequencies. Synchrotron Radiation (SR) occurs when charged particles are accelerated in magnetic and electric fields, causing them to move in circles or straight lines.

What is electron degeneracy pressure?

The pressure exerted by electrons in degenerate matter, where electrons are packed so densely that quantum mechanical effects become significant. Unlike normal matter, degenerate matter resists compression due to the Pauli Exclusion Principle, which prevents electrons from occupying the same energy level.

What are the main differences between a type II and a type Ia supernova?

Type II supernovae occur when massive stars (8 solar masses or more) exhaust their fuel and collapse due to gravity. The core collapses and forms a neutron star or a black hole. Type Ia supernovae are produced by the explosion of white dwarf stars that accrete matter from a companion star.

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Photon energy

The amount of energy carried by a single photon, calculated as E = hf, where h is Planck's constant, and f is the frequency of light.

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Work function

The minimum energy required to eject an electron from a material, measured in electron volts (eV).

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Kinetic energy of a photoelectron

The energy transferred to an electron when it absorbs a photon, calculated as the difference between the photon's energy and the work function.

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Compton scattering

The process where a photon interacts with an electron, resulting in the photon losing energy and changing direction.

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Photoelectric effect

The process where a photon is absorbed by an atom, causing an electron to be ejected.

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Photon momentum

A measure of the energy a photon carries, calculated as the product of Planck's constant and the speed of light divided by the wavelength of the photon.

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Pair production

The process where a high-energy photon interacts with a strong electromagnetic field, creating an electron-positron pair.

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Threshold energy for pair production

The minimum energy required for a photon to create an electron-positron pair, calculated as twice the rest mass energy of an electron.

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Active Veto

A technique in particle physics that uses a scintillating material surrounding a target to identify and reject events where a photon deposits energy in both the target and the surrounding material, indicating potential contamination.

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Solar Neutrino Problem

The discrepancy between the predicted number of solar neutrinos reaching Earth based on the Sun's energy production and the actual number observed by early neutrino detectors, largely due to neutrinos changing flavor during their journey.

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Actual Exhaust Velocity

The velocity of the hot gases exiting the rocket nozzle.

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Effective Exhaust Velocity

A more realistic measure of the effectiveness of a rocket engine, factoring in the effect of the rocket's mass and thrust direction on the overall performance.

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Ratio of Kinetic Energy after Inelastic Collision

The ratio of the kinetic energy of a smaller mass to the kinetic energy of a larger mass after an inelastic collision.

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Goddard's Rocket Control System

A system that uses gyroscopes connected to moving surfaces on fins or deflectors in the exhaust stream of a rocket engine to control the craft's orientation.

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Conservation of Linear Momentum

The principle stating that the total linear momentum of a closed system remains constant.

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Turbopumps in Rocketry

The use of turbopumps to pressurize liquid propellant in rocket engines, significantly increasing their efficiency and performance.

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What is Escape Velocity?

The escape velocity is the minimum speed an object needs to escape the gravitational pull of a planet or celestial body. It depends on the mass and radius of the celestial body.

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What is Orbital Velocity?

The velocity required for an object to maintain a circular orbit around a celestial body is known as orbital velocity. It depends on the mass of the celestial body and the radius of the orbit.

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Explain Apoapsis and Periapsis.

The apoapsis is the point in an elliptical orbit where the satellite is farthest from the Earth. The periapsis is the point where it is closest to Earth. Both depend on the semi-major axis and eccentricity of the orbit.

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What is Eccentricity?

Eccentricity is a measure of how elliptical an orbit is. It ranges from 0 for a perfectly circular orbit to 1 for a highly elliptical orbit.

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What is the Semi-major Axis?

The semi-major axis is half the longest diameter of an ellipse. It represents the average distance of the satellite from the Earth in its elliptical orbit.

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Explain Velocity at Apoapsis and Periapsis.

Velocity at Apoapsis is the speed of the satellite at the point farthest from Earth in its elliptical orbit. Velocity at Periapsis is the speed at the point closest to Earth. Both depend on the gravitational forces and the speed of the satellite.

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How does Gravity affect Satellite Orbits?

Gravitational force between two objects depends on their masses and the distance between them. This force is responsible for keeping satellites in orbit around Earth.

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What is Specific Impulse (ISP) in Rocket Propulsion?

The specific impulse (ISP) is a measure of the efficiency of a rocket engine. It represents the thrust produced per unit of propellant consumed. Higher ISP values indicate greater efficiency.

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Gravitational Potential Energy of a Spacecraft

The potential energy of a spacecraft in orbit is negative, indicating that it is bound to Earth's gravitational field.

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Total Energy of an Elliptical Orbit

The total energy of an object in orbit is a constant value, determined by the semi-major axis of the elliptical orbit. This implies that the object's kinetic and potential energy are constantly changing but their sum remains constant throughout the orbit.

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Hohmann Transfer Orbit

A Hohmann Transfer orbit is an elliptical path between two circular orbits. It is the most efficient way to transfer a spacecraft from one circular orbit to another circular orbit.

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Orbital Velocity

The velocity the spacecraft needs to have to enter a specific orbit is called the orbital velocity, which is dependent on the mass of the central body and the radius of the orbit. It is calculated using the formula: v = √(GM/R).

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Kinetic Energy of a Spacecraft

The kinetic energy of a spacecraft is the energy it possesses due to its motion. It is calculated using the formula: KE = 1/2 * mv², where m is the mass of the spacecraft.

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Delta-V (∆v)

The difference in velocity required for maneuvering from one orbit to another is represented by ∆v, effectively the change in velocity needed to execute a maneuver.

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What is ∆𝑣?

The difference in velocity needed for a spacecraft to transition from one orbit to another.

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What is thrust?

The force exerted on a spacecraft by its engines, accelerating it.

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What is burn time?

It's the time duration for which the spacecraft's engines burn to achieve a specific ∆𝑣.

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What is total spacecraft mass?

The total mass of the spacecraft, including the mass of its propellant.

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What is specific impulse?

A measure of how efficiently a rocket engine converts propellant mass into thrust.

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What is propellant ejection rate?

The rate at which the spacecraft expels propellant from its engines.

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What is a Hall effect thruster?

A type of thruster that uses electric and magnetic fields to accelerate ions, producing much higher exhaust velocities than chemical rockets. They are particularly suitable for deep space missions.

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What is Kepler's Third Law?

The fundamental law in orbital mechanics that relates the orbital period of an object to the semi-major axis of its elliptical orbit. It states that the square of the orbital period is proportional to the cube of the semi-major axis of the orbit.

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Study Notes

Astrophystech + Rocket Science Lectures

  • Blackbody Radiation: Distribution of energy among particles in a fixed volume follows Maxwell-Boltzmann distribution. Heated objects emit photons. Peak emission wavelength is temperature-dependent. Intensity depends on photon emission rate; higher temperatures shift peak to shorter wavelengths.

Thermal Bremsstrahlung and Synchrotron Radiation

  • Thermal Bremsstrahlung (TB): Charged particles accelerate due to interactions, producing radiation at frequencies dependent on acceleration rate. Higher acceleration equals higher frequency emissions.

  • Synchrotron Radiation (SR): Charged particles accelerate in magnetic and electric fields (circular or straight lines), leading to radiation with higher frequencies.

Electron Degeneracy Pressure

  • Normal gas: Pressure increases with heat due to electron orbital expansion around nuclei.

  • Degenerate matter: Atoms lose electrons; electrons forced close together. Pauli Exclusion Principle impacts electron energy levels; pressure resisting collapse arises from filled lower energy levels, requiring immense energy for promoting to higher orbital levels.

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Description

This quiz covers key concepts in astrophysics including blackbody radiation, thermal bremsstrahlung, synchrotron radiation, and electron degeneracy pressure. Each section delves into the fundamental principles governing particle interactions and energy emissions in various temperatures and environments. Test your understanding of these crucial astrophysical topics.

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