College Physics
OER 2016 Edition
ISBN: 9781947172173
Author: OpenStax
Publisher: OpenStax College
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Chapter 1, Problem 8CQ
When is it necessary to use relativistic
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When is it necessary to use relativistic quantum mechanics?
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Chapter 1 Solutions
College Physics
Ch. 1 - Models are particularly useful in relativity and...Ch. 1 - How does a model differ from a theory?Ch. 1 - If two different theories describe experimental...Ch. 1 - What determines the validity of a theory?Ch. 1 - Certain criteria must be satisfied if a...Ch. 1 - Can the validity of a model be limited, or must it...Ch. 1 - Classical physics is a good approximation to...Ch. 1 - When is it necessary to use relativistic quantum...Ch. 1 - Can classical physics be used to accurately...Ch. 1 - Identify some advantages of metric units.
Ch. 1 - What is the relationship between the accuracy and...Ch. 1 - Prescriptions for vision correction are given in...Ch. 1 - The speed limit on some interstate highways is...Ch. 1 - A car is traveling at a speed of 33 m/s. (a) What...Ch. 1 - Show that 1.0m/s=3.6Km/h. Hint: Show the explicit...Ch. 1 - American football is played on a 100-yd-long...Ch. 1 - Soccer fields vary in size. A large soccer field...Ch. 1 - What is the height in meters of a person who is 6...Ch. 1 - Mount Everest, at 29,028 feet, is the tallest...Ch. 1 - The speed of sound is measured to be 342 m/s on a...Ch. 1 - Tectonic plates are large segments of the Earth's...Ch. 1 - (a) Refer to Table 1.3 to determine the average...Ch. 1 - Suppose that your bathroom scale reads your mass...Ch. 1 - A good-quality measuring tape can be off by 0.50...Ch. 1 - (a) A car speedometer has a 5.0% uncertainty. What...Ch. 1 - An infant's pulse rate is measured to be 1305...Ch. 1 - (a) Suppose that a person has an average heart...Ch. 1 - A can contains 375 mL of soda. How much is left...Ch. 1 - State how many significant figures are proper in...Ch. 1 - (a) How many significant figures are in the...Ch. 1 - (a) If your speedometer has an uncertainty of 2.0...Ch. 1 - (a) A person's blood pressure is measured to be...Ch. 1 - A person measures his or her heart rate by...Ch. 1 - What is the area of a circle 3.102 cm in diameter?Ch. 1 - If a marathon runner averages 9.5 mi/h, how long...Ch. 1 - A marathon runner completes a 42.188-km course in...Ch. 1 - The sides of a small rectangular box are measured...Ch. 1 - When non-metric units were used in the United...Ch. 1 - The length and width of a rectangular room are...Ch. 1 - A car engine moves a piston with a circular cross...Ch. 1 - How many heartbeats are there in a lifetime?Ch. 1 - A generation is about one-third of a lifetime....Ch. 1 - How many times longer than the mean life of an...Ch. 1 - Calculate the approximate number of atoms in a...Ch. 1 - Approximately how many atoms thick is a cell...Ch. 1 - (a) What fraction of Earth's diameter is the...Ch. 1 - (a) Calculate the number of cells in a hummingbird...Ch. 1 - Assuming one nerve impulse must end before another...
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- If the formalism of quantum mechanics is 'more exact' than that of classical mechanics, why don't we use quantum mechanics to describe the motion of a leaping frog? Explain.arrow_forwardModels are particularly useful in relativity and quantum mechanics, where conditions are outside those normally encounteredby humans. What is a model?arrow_forwardA particle is created in a shower of particle decays. Its velocity is measured to a precision of 50 micrometers/second and its mass is inferred to be (exactly) 6.64×10−27 kg. What is the minimum uncertainty in our knowledge of the particle’s position? Explain.arrow_forward
- Write the relativistic quantum wave equation ( the Ken Gordon equation )arrow_forwardQuantum Mechanics: please explain clearly with reasoning/steps Q1) "~P(x,0) = [Ax Ах 04x49/2/2 2 A(a-x) a≤x≤a a) SKETCH + (x₁0) AND EXPLAIN WHY:arrow_forwardThis is a part of the classical uncertainty theorem. How can I prove this?arrow_forward
- When only a few photons are observed, classical physics fails. When many are observed, classical physics is valid. Which of these two facts is consistent with the correspondence principle?arrow_forwardA fly with a mass of 23.7 mg is moving with a velocity of 6.7 m/s + 10%. What is the momentum of this fly? kgm/s What is the uncertainty in the momentum measurement? kgm/s At best, what is the uncertainty in the position of the fly? m Are we very certain with this measurement? Yes O Noarrow_forwardImagine an alternate universe where the value of the Planck constant is ×6.62607·10−36Js . In that universe, which of the following objects would require quantum mechanics to describe, that is, would show both particle and wave properties? Which objects would act like everyday objects, and be adequately described by classical mechanics? object quantum or classical? A turtle with a mass of 560. g, 29. cm long, moving at 2.4 cm/s. classical quantum An iceberg with a mass of 3.8 x 108 kg, 80. m wide, moving at 0.75 km/h. classical quantum A mosquito with a mass of 1.2 mg, 11.4 mm long, moving at 2.5 m/s. quantum classical A buckyball with a mass of 1.2 x 10-21 g, 0.7 nm wide, moving at 40. m/s. classical quantumarrow_forward
- Do you think it is reasonable to describe the Schrodinger equation as a postulate of quantum mechanics? What is a postulate?arrow_forwardIn what ways are matter and energy related that were not known before the development of relativity and quantum mechanics?arrow_forwardImagine an alternate universe where the value of the Planck constant is 6.62607x10−4J·s. In that universe, which of the following objects would require quantum mechanics to describe, that is, would show both particle and wave properties? Which objects would act like everyday objects, and be adequately described by classical mechanics? A grain of sand with a mass of 135 mg, 515. µm wide, moving at 4.00 mm/s. An airplane with a mass of 1.75 x 104 kg, 15.0 m long, moving at 2300. km/h. An atom with a mass of 1.0 x 10-27 kg, 137. pm wide, moving at 394. m/s. A ball with a mass of 215. g, 4.1 cm wide, moving at 35.0 m/s.arrow_forward
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