Which of the following statements are correct?

  1. The Heisenberg Uncertainty Principle applies to electrons, but not to protons.
  2. It is impossible to determine simultaneously both the position and time of an electron with accuracy.
  3. It is impossible to determine simultaneously both the time and mass of an electron with accuracy.
  4. It is impossible to determine simultaneously both the time and energy of an electron with accuracy.

Answer (Detailed Solution Below)

Option 4 :

It is impossible to determine simultaneously both the time and energy of an electron with accuracy.

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Concept:

Heisenberg’s uncertainty principle is a key principle in quantum mechanics.

Very roughly, it states that if we know everything about where a particle is located (the uncertainty of position is small), we know nothing about its momentum (the uncertainty of momentum is large), and vice versa.

Versions of the uncertainty principle also exist for other quantities as well, such as energy and time.

We discuss the momentum-position and energy-time uncertainty principles separately.

The Heisenberg Uncertainty Principle applies to electrons and protons as well, it is applicable for all small particles.

Heisenberg’s uncertainty principle is given by

\({\rm{\Delta }}x \cdot {\rm{\Delta }}p \ge \frac{h}{{4\pi }}\)

\({\rm{\Delta }}E \cdot {\rm{\Delta }}t \ge \frac{h}{{4\pi }}\)

Heisenberg's uncertainty principle talks about either position, momentum pair or energy, time pair.

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