Question

The uncertainty relation cannot hold for the following pairs
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Position and momentum
Energy and time
Linear momentum and angle
Angular momentum and angle
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Answer 1

The uncertainty relation cannot hold for linear momentum and angle.

• Heisenberg's Uncertainty Principle states that it is not possible to determine the exact position and the linear momentum of an object at the same time.
• Mathematically, Δx. Δp ≥ h / 4π. Here  Δx and Δp are the uncertainties in position and momentum respectively.
• In quantum mechanics, energy and time, angular momentum and angle, and phase and particle number are also conjugate pairs that share the same uncertainty rule.
• Angular momentum and angle do not obey this principle.