If ∆x is the uncertainty in the measurement of the position of a particle along the x-axis and ∆Pa is the uncertainty in the measurement of the linear momen...

Assessment: JAMB UTME - Physics - 1999 Subject: Physics

Question 1 Report

If ∆x is the uncertainty in the measurement of the position of a particle along the x-axis and ∆Pa is the uncertainty in the measurement of the linear momentum along the x-axis, then the uncertainty principle relation is given as
Answer Details
The uncertainty principle is a fundamental principle of quantum mechanics that states that it is impossible to simultaneously determine certain pairs of physical properties of a particle, such as its position and momentum, with perfect accuracy. The uncertainty principle relation between the uncertainty in the measurement of the position (∆x) and the uncertainty in the measurement of the linear momentum (∆P) along the x-axis is given by the equation: ∆x ∆P ≥ h where h is Planck's constant. This means that the product of the uncertainties in the measurement of position and momentum cannot be smaller than h. Therefore, option A is the correct answer.

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