Three fundamental constants of physics, which we will encounter at various times, are: mp, the mass of the proton, whose dimension is [M]; c, the speed of light, whose dimension is [L/T]; and h, Planck's constant, whose dimension is [ML2/T]. What combination of these constants will produce a quantity whose dimension is [L]? Show me explicitly what the correct combination of constants is. ([M] represents mass, [T] represents time, and [L] represents length.)

Three fundamental constants of physics, which we will encounter at various times, are: mp, the mass of the proton, whose dimension is [M]; c, the speed of light, whose dimension is [L/T]; and h, Planck's constant, whose dimension is [ML2/T]. What combination of these constants will produce a quantity whose dimension is [L]? Show me explicitly what the correct combination of constants is. ([M] represents mass, [T] represents time, and [L] represents length.)

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter34: Maxwell’s Equations And Electromagnetic Waves

Section34.1: Light: One Last Classical Topic

Problem 34.1CE

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Concept explainers

Special Relativity

The theory of special relativity discusses how space and time are related to objects traveling along a straight line at a constant speed. Simply stated, as an object reaches the speed of light, its mass becomes infinite and it is unable to move faster than light. This interstellar speed limit has been the topic of much debate in astronomy, and also in science fiction when people consider how to fly over large distances.

Question

Three fundamental constants of physics, which we will encounter at various times, are: m_p, the mass of the proton, whose dimension is [M]; c, the speed of light, whose dimension is [L/T]; and h, Planck's constant, whose dimension is [ML²/T]. What combination of these constants will produce a quantity whose dimension is [L]? Show me explicitly what the correct combination of constants is. ([M] represents mass, [T] represents time, and [L] represents length.)

Definition Definition Rate at which light travels, measured in a vacuum. The speed of light is a universal physical constant used in many areas of physics, most commonly denoted by the letter c . The value of the speed of light c = 299,792,458 m/s, but for most of the calculations, the value of the speed of light is approximated as c = 3 x 10 8 m/s.

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