Physics Constants Quick Reference
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Questions and Answers

What is the SI base unit of temperature?

  • C
  • °K
  • K (correct)
  • °C
  • Which estimate is reasonable?

  • $1 \times 10^4$ W for the power of a light bulb in a house
  • $1 \times 10^{-2}$ m$^3$ for the volume of a tennis ball
  • $1 \times 10^{-3}$ kg for the mass of a grain of sand (correct)
  • $1 \times 100$ J for the work done lifting an apple from waist height to head height
  • Which physical constant represents the gravitational acceleration on Earth?

  • $k$
  • $c$
  • $G$ (correct)
  • $R$
  • What formula represents hydrostatic pressure?

    <p>$\Delta p = \rho g\Delta h$</p> Signup and view all the answers

    Which concept does the Boltzmann constant ($k$) relate to?

    <p>Temperature and energy in gases</p> Signup and view all the answers

    What does the Avogadro constant ($N_A$) represent?

    <p>Number of molecules in a mole of substance</p> Signup and view all the answers

    What is the correct description of the two forces that form a couple?

    <p>They are perpendicular to each other.</p> Signup and view all the answers

    In an equilibrium situation where a uniform rod is attached by a hinge at one end to a wall, which arrow shows the direction of the force on the rod from the hinge?

    <p>A</p> Signup and view all the answers

    When a child of mass 40 kg stands at the far end of a diving board supported by a spring, what is the extra compression of the spring caused by the child?

    <p>9.8 cm</p> Signup and view all the answers

    If a granite rock at the surface of the Earth has density 𝜌, what would be the density of the same rock on another planet with twice the acceleration of free fall compared to Earth?

    <p>2𝜌</p> Signup and view all the answers

    In a closed U-shaped tube containing a stationary liquid of density 𝜌, what happens to the level of liquid when the tube is rotated about its axis?

    <p>The level remains unchanged.</p> Signup and view all the answers

    If a ball is dropped from a certain height on Earth and on another planet where acceleration due to gravity is 30 m/s², how would the time taken for it to fall compare between the two planets?

    <p>It would take the same time on both planets.</p> Signup and view all the answers

    In the scenario described, what allows the child and the sledge to move with equal acceleration towards the pole?

    <p>The tension in the rope exerted by the child</p> Signup and view all the answers

    What is the significant similarity between the stone S and foam rubber ball R when they reach terminal velocity?

    <p>Their air resistance</p> Signup and view all the answers

    If the collision between balls X and Y was not perfectly elastic, what would be a possible outcome for ball X after the collision?

    <p>Ball X comes to a complete stop</p> Signup and view all the answers

    What role does the frictionless pole play in the scenario involving the child and the sledge?

    <p>To provide a pivot point for rotational motion</p> Signup and view all the answers

    What key property of balls X and Y determines their interaction during a head-on collision?

    <p>Their elasticity</p> Signup and view all the answers

    How does the concept of terminal velocity relate to the scenario involving stone S and foam rubber ball R?

    <p>Terminal velocity is achieved when air resistance equals weight for an object</p> Signup and view all the answers

    What is the purpose of the Cambridge Assessment International Education Copyright Acknowledgements Booklet?

    <p>To provide a list of copyright holders for exam materials</p> Signup and view all the answers

    Which organization is responsible for producing the Cambridge Assessment International Education Copyright Acknowledgements Booklet?

    <p>University of Cambridge Local Examinations Syndicate (UCLES)</p> Signup and view all the answers

    What action will the publisher take if items requiring clearance have been included unintentionally?

    <p>Make amends at the earliest possible opportunity</p> Signup and view all the answers

    What is the relationship between Cambridge Assessment and UCLES?

    <p>UCLES is a division within Cambridge Assessment</p> Signup and view all the answers

    Where can candidates find the Cambridge Assessment International Education Copyright Acknowledgements Booklet?

    <p>Available online for free download</p> Signup and view all the answers

    Which statement cannot be deduced from the experiment where most alpha particles pass straight through the foil or are deflected by a small angle?

    <p>The nucleus of an atom is small compared to the size of an atom.</p> Signup and view all the answers

    Which statement about the represented nuclei is correct?

    <p>Nuclei G and M are isotopes of the same element.</p> Signup and view all the answers

    What is the change in the quark structure of a neutron when it decays to a proton by emitting a beta-particle?

    <p>u d + beta+ + neutrino</p> Signup and view all the answers

    If an atom of element E absorbs a neutron and then emits an alpha-particle, what does E transform into?

    <p>Nucleus M</p> Signup and view all the answers

    What does the deflection of alpha particles by a small angle suggest about the nucleus of an atom?

    <p>The nucleus is positively charged.</p> Signup and view all the answers

    What can be inferred about the mass distribution within an atom based on the deflection pattern of alpha particles?

    <p>The mass is concentrated in the nucleus.</p> Signup and view all the answers

    Study Notes

    Temperature and Gravitational Concepts

    • The SI base unit of temperature is the Kelvin (K).
    • Gravitational acceleration on Earth is represented by the constant ( g = 9.81 , \text{m/s}^2 ).

    Hydrostatics and Pressure

    • Hydrostatic pressure is given by the formula ( P = \rho gh ), where ( P ) is pressure, ( \rho ) is fluid density, ( g ) is gravitational acceleration, and ( h ) is the height of the fluid column.

    Thermodynamics and Constants

    • The Boltzmann constant (( k )) relates to the average kinetic energy of particles in a gas.
    • The Avogadro constant (( N_A )) represents the number of constituent particles, typically atoms or molecules, in one mole of a substance, approximately ( 6.022 \times 10^{23} ).

    Forces and Equilibrium

    • The two forces that form a couple have equal magnitudes but act in opposite directions, creating rotational motion about a point.
    • In a uniformly hinged rod scenario, the force direction from the hinge can be indicated by an arrow towards the rod, opposing its weight.

    Mechanics of Compression and Density

    • A child weighing 40 kg causes extra compression in a spring when standing on a diving board, calculated using Hooke's law.
    • The density of a granite rock on another planet with double the gravitational acceleration remains the same as on Earth due to dependence on mass and volume, not gravity.

    Fluid Dynamics and Motion Effects

    • When a U-shaped tube with a stationary liquid is rotated about its axis, the liquid level will rise on the outside of the tube due to centrifugal force.
    • A ball dropped from the same height will fall faster on a planet with ( 30 , \text{m/s}^2 ) acceleration due to gravity than on Earth.

    Acceleration in Equal Motion

    • In the case of a child and a sledge, both moving with equal acceleration, tension and inertia allow for simultaneous movement towards the pole.

    Terminal Velocity and Collision Dynamics

    • Both the stone S and foam rubber ball R achieve terminal velocity, where the force of gravity is balanced by air resistance.
    • In a non-elastic collision between balls X and Y, ball X may lose kinetic energy and be deformed, potentially changing its velocity after impact.

    Interaction and Frictionless Dynamics

    • The frictionless pole allows the child to accelerate without resistance in the presence of external forces.
    • The interaction of balls X and Y during a head-on collision is determined by their mass and velocity.

    Atomic Structure and Particle Interaction

    • When a neutron decays into a proton by emitting a beta particle, the change in quark structure involves a down quark converting to an up quark.
    • An atom of element E that absorbs a neutron and emits an alpha particle transforms into a different element, reducing its atomic number by two.

    Alpha Particle Experiment Insights

    • The deflection of alpha particles by small angles implies that most of the atom's mass is concentrated in a small nucleus, rather than being uniformly distributed.
    • The mass distribution within an atom can be inferred from the level of deflection observed in alpha particle scattering experiments, indicating a dense center.

    Cambridge Assessment Context

    • The Cambridge Assessment International Education Copyright Acknowledgements Booklet aims to recognize copyrighted materials used in assessments.
    • Cambridge Assessment and UCLES (University of Cambridge Local Examinations Syndicate) are closely related, as UCLES is part of Cambridge Assessment.
    • If items requiring clearance are unintentionally included, the publisher may take corrective actions to resolve the issue.
    • Candidates can access the Cambridge Assessment International Education Copyright Acknowledgements Booklet through the official Cambridge Assessment website.

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    Test your knowledge of fundamental physics constants with this quiz. From the acceleration due to gravity to the speed of light, challenge yourself to recall these important values. Perfect for students or enthusiasts looking to reinforce their understanding of key physics concepts.

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