The wavelength (2) of matter waves may depend upon Planck's constant (h), mass (m) and velocity (v) of the particle. Use the dimensional analysis to derive the dimensional formula for 2. Hint: [h]=ML²T-¹

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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Activity 2:
The wavelength (2) of matter waves may depend upon Planck's constant (h), mass (m) and velocity (v) of the
particle. Use the dimensional analysis to derive the dimensional formula for 2. Hint: [h]=ML²T-¹
Activity 3:
A) Part of your work is to understand the different wire sizes and their power ratings. A certain kit contains
wires that belong to 9 categories according to their cross-sectional area, and their areas range from
0.1 mm² to 0.596 mm². If the area values of those categories form a geometric progression, write the
general formula of this progression, and the area of the first 3 categories.
B) The maintenance engineer for a certain supplier charges the factory for his/her services according to the
following: the first-hour costs 20 JDs; the second-hour costs 18.25 JDs (i.e., 1.75 JDs less than the
previous hour). This sequence of reduction in payment remains as more service hours are spent. Write
down the formula that describes the payment per hour, then calculate the payments for the first five
hours.
Transcribed Image Text:Activity 2: The wavelength (2) of matter waves may depend upon Planck's constant (h), mass (m) and velocity (v) of the particle. Use the dimensional analysis to derive the dimensional formula for 2. Hint: [h]=ML²T-¹ Activity 3: A) Part of your work is to understand the different wire sizes and their power ratings. A certain kit contains wires that belong to 9 categories according to their cross-sectional area, and their areas range from 0.1 mm² to 0.596 mm². If the area values of those categories form a geometric progression, write the general formula of this progression, and the area of the first 3 categories. B) The maintenance engineer for a certain supplier charges the factory for his/her services according to the following: the first-hour costs 20 JDs; the second-hour costs 18.25 JDs (i.e., 1.75 JDs less than the previous hour). This sequence of reduction in payment remains as more service hours are spent. Write down the formula that describes the payment per hour, then calculate the payments for the first five hours.
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