Uncertainty Principle Using ΔPΔx ≥ H/2: a Small Dust Particle

question 24

Essay

Uncertainty principle using ΔpΔx ≥ h/2: A small dust particle of mass 7.90 × 10^-6 g is being observed under a magnifying lens. Its position is determined to within 0.0050 mm. (1 y = 3.156 × 10⁷ s, h = 6.626 × 10^-34 J ∙ s)
(a) Find the minimum uncertainty in its velocity implied by the uncertainty in its position.
(b) Assuming the dust particle is moving at the speed you just found, how many years would it take for the particle to move 1.0 mm?

Understand the critiques of education and religion from various theoretical perspectives.

Reflect on how personal and societal beliefs about religion and education affect individual experiences and societal norms.

Understand the concepts of assimilation and accommodation and their application in relationships.

Comprehend the nature and effects of downward social comparisons in individual psychology.

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Definitions:

Resources Efficiency

The optimal use of resources to achieve the desired outcome with minimal waste, maximizing the effectiveness of resource utilization.

Technology Improvement

Enhancements or upgrades in technology that increase efficiency, productivity, or quality of outputs.

Production Possibility Frontier

Graphical representation illustrating the maximal output options for two goods, determined by specific resources and other influential factors.

Capital Goods

Items used in the production of other goods or services, such as machinery and equipment.