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In 2019, the International Committee for Weights and Measures adopted a new set of definitions for the fundamental units of the SI system. The three important base units in classical mechanics are the unit of time (s), the unit of length (m), and the unit of mass (kg). These three units are derived from three physical constants in the new SI system: Quantity Symbol Units Transition Frequency of Cesium 133 Av Planck's Constant s-1 kg - m?/s m/s h Speed of Light Use dimensional analysis to determine the combination of these three parameters that will define the base units of the SI system. (a) What combination of h, c, and Av defines a second? (b) What combination of h, c, and Av defines a meter? (c) What combination of h, c, and Av defines a kilogram?

In 2019, the International Committee for Weights and Measures adopted a new set of definitions for the fundamental units of the SI system. The three important base units in classical mechanics are the unit of time (s), the unit of length (m), and the unit of mass (kg). These three units are derived from three physical constants in the new SI system: Quantity Symbol Units Transition Frequency of Cesium 133 Av Planck's Constant s-1 kg - m?/s m/s h Speed of Light Use dimensional analysis to determine the combination of these three parameters that will define the base units of the SI system. (a) What combination of h, c, and Av defines a second? (b) What combination of h, c, and Av defines a meter? (c) What combination of h, c, and Av defines a kilogram?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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In 2019, the International Committee for Weights and Measures adopted a new set of definitions for the fundamental units of the SI system. The three important base units in classical mechanics are the unit of time (s), the unit of length (m), and the unit of mass (kg). These three units are derived from three physical constants in the new SI system: | Quantity | Symbol | Units | |--------------------------------------|--------|-------------| | Transition Frequency of Cesium 133 | Δν | s⁻¹ | | Planck’s Constant | h | kg·m²/s | | Speed of Light | c | m/s | **Use dimensional analysis** to determine the combination of these three parameters that will define the base units of the SI system. (a) What combination of \(h\), \(c\), and \(\Delta \nu\) defines a second? (b) What combination of \(h\), \(c\), and \(\Delta \nu\) defines a meter? (c) What combination of \(h\), \(c\), and \(\Delta \nu\) defines a kilogram? You only need to find the combination of \(h\), \(c\), and \(\Delta \nu\) that has the right units. Your answer should not involve any numerical values.
Transcribed Image Text:In 2019, the International Committee for Weights and Measures adopted a new set of definitions for the fundamental units of the SI system. The three important base units in classical mechanics are the unit of time (s), the unit of length (m), and the unit of mass (kg). These three units are derived from three physical constants in the new SI system: | Quantity | Symbol | Units | |--------------------------------------|--------|-------------| | Transition Frequency of Cesium 133 | Δν | s⁻¹ | | Planck’s Constant | h | kg·m²/s | | Speed of Light | c | m/s | **Use dimensional analysis** to determine the combination of these three parameters that will define the base units of the SI system. (a) What combination of \(h\), \(c\), and \(\Delta \nu\) defines a second? (b) What combination of \(h\), \(c\), and \(\Delta \nu\) defines a meter? (c) What combination of \(h\), \(c\), and \(\Delta \nu\) defines a kilogram? You only need to find the combination of \(h\), \(c\), and \(\Delta \nu\) that has the right units. Your answer should not involve any numerical values.
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