15.4 Mass-Energy Equivalence

    Cards (51)

    • What is Einstein's famous equation that describes mass-energy equivalence?
      E=mc²
    • Einstein's formula indicates that a small amount of mass can convert into a significant amount of energy
    • What is the equation to calculate the speed of light in terms of energy and mass?
      c = \sqrt{\frac{E}{m}}</latex>
    • The equation m = E / c² is used to calculate mass in terms of energy and the speed of light.

      True
    • What is the unit for the speed of light in Einstein's equation E=mc²?
      m/s
    • Match the concept with its corresponding symbol and equation:
      Mass ↔️ m ||| m = E / c²
      Energy ↔️ E ||| E = mc²
      Speed of Light ↔️ c ||| c=c =Em \sqrt{\frac{E}{m}}
    • The equation E=mc² implies that a small amount of mass can be converted into a significant amount of energy.
      True
    • In Einstein's equation, E=mc², the speed of light squared (c²) acts as a conversion factor between mass and energy.
    • What is the first step in using E=mc² to convert mass to energy?
      Identify known quantities
    • Steps to convert between mass and energy using E=mc²:
      1️⃣ Identify known quantities
      2️⃣ Substitute values into the equation
      3️⃣ Calculate either E or m
    • In E=mc², the speed of light is approximately 3 x 10⁸ m/s.
    • What is the approximate value of the speed of light (c) in meters per second?
      3 x 10⁸ m/s
    • In the equation c = √(E/m), the unit for the speed of light is m/s
    • In Einstein's equation E=mc², the unit for energy is joules
    • What is the approximate value of the speed of light in a vacuum?
      3 x 10⁸ m/s
    • Match the application area with its implication of mass-energy equivalence:
      Nuclear Reactions ↔️ Release of vast energy
      Particle Physics ↔️ Particle creation and annihilation
      Energy Generation ↔️ Energy production from minimal mass
    • The speed of light acts as a crucial conversion factor between mass and energy in Einstein's equation.
      True
    • The speed of light is approximately 3 x 10⁸ m/s
    • What does 'c' represent in Einstein's equation E=mc²?
      Speed of light
    • In Einstein's equation E=mc², 'm' represents the mass
    • The principle of mass-energy equivalence is fundamental to understanding nuclear reactions and particle physics
    • The equation E=mc² can be rearranged to solve for energy as E = mc².

      True
    • The approximate value of the speed of light is 3 x 10⁸ m/s
    • What is the concept of mass-energy equivalence described by Einstein's formula, E=mc²?
      Mass and energy are interchangeable
    • Match the concept with its symbol and representation:
      Energy ↔️ E: The energy of an object
      Mass ↔️ m: The mass of the object
      Speed of Light ↔️ c: Approximately 3 x 10⁸ m/s
    • The mass-energy equivalence principle has no applications in particle physics.
      False
    • In Einstein's equation, energy (E) is measured in joules.
    • Match the variable with its equation:
      Mass ↔️ m = E / c²
      Energy ↔️ E = mc²
      Speed of Light ↔️ c = √(E/m)
    • Mass-energy equivalence is a fundamental principle in nuclear reactions and particle physics.

      True
    • In the equation m = E / c², the unit for mass is kilograms
    • Mass-energy equivalence is fundamental in nuclear reactions and particle physics.

      True
    • Match the variable with its representation in E=mc²:
      E ↔️ Energy of an object
      m ↔️ Mass of the object
      c ↔️ Speed of light
    • In the equation E=mc², c² serves as the conversion factor between mass and energy
    • What is the equation for energy (E) in Einstein's theory using mass (m) and the speed of light (c)?
      E = mc²
    • Name three real-world applications of mass-energy equivalence.
      Nuclear power, medical imaging, particle physics
    • Mass and energy are interchangeable according to Einstein's theory of mass-energy equivalence.

      True
    • The equation E=mc² can be rearranged to solve for mass as m = E / .

      True
    • What is the approximate value of the speed of light in meters per second?
      3 x 10⁸ m/s
    • What does 'm' represent in Einstein's equation E=mc²?
      Mass
    • The speed of light squared acts as a conversion factor between mass and energy in Einstein's equation.

      True
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