Which of the following is a correct relation according to Heisenberg's

1.	Which of the following is a correct relation according to Heisenberg's Uncertainty principle?1. \({\rm{\Delta }}x \times {\rm{\Delta }}P\; \le \frac{h}{{4\;\pi \;}}\)2. \({\rm{\Delta }}x \times {\rm{\Delta }}v\; \le \frac{h}{{4\;\pi \;}}\)3. \({\rm{\Delta }}x \times {\rm{\Delta }}P\; \ge \frac{h}{{4\;\pi \;}}\)4. \({\rm{\Delta }}x \times {\rm{\Delta }}v\; \ge \frac{h}{{4\;\pi \;}}\)
Answer» Correct Answer - Option 3 : \({\rm{\Delta }}x \times {\rm{\Delta }}P\; \ge \frac{h}{{4\;\pi \;}}\) Concept: Heisenberg’s Uncertainty Principle: W Heisenberga German physicist in 1927, stated the uncertainty principle which is the consequence of dual behavior of matter and radiation. It states thatit is impossible to determine simultaneously, the exact position and exact momentum (or velocity) of an electron. Explanation: According toHeisenberg’s Uncertainty Principle \({\rm{\Delta }}x \times {\rm{\Delta }}P\; \ge \frac{h}{{4\;\pi \;}}\) Where, Δx = Uncertainty in position, ΔP = Uncertainty in momentum, h = Plank’s constant

Which of the following is a correct relation according to Heisenberg's Uncertainty principle?1. \({\rm{\Delta }}x \times {\rm{\Delta }}P\; \le \frac{h}{{4\;\pi \;}}\)2. \({\rm{\Delta }}x \times {\rm{\Delta }}v\; \le \frac{h}{{4\;\pi \;}}\)3. \({\rm{\Delta }}x \times {\rm{\Delta }}P\; \ge \frac{h}{{4\;\pi \;}}\)4. \({\rm{\Delta }}x \times {\rm{\Delta }}v\; \ge \frac{h}{{4\;\pi \;}}\)

Answer» Correct Answer - Option 3 : \({\rm{\Delta }}x \times {\rm{\Delta }}P\; \ge \frac{h}{{4\;\pi \;}}\)

Concept:

Heisenberg’s Uncertainty Principle:

W Heisenberga German physicist in 1927, stated the uncertainty principle which is the consequence of dual behavior of matter and radiation.
It states thatit is impossible to determine simultaneously, the exact position and exact momentum (or velocity) of an electron.

Explanation:

According toHeisenberg’s Uncertainty Principle

\({\rm{\Delta }}x \times {\rm{\Delta }}P\; \ge \frac{h}{{4\;\pi \;}}\)

Where, Δx = Uncertainty in position, ΔP = Uncertainty in momentum, h = Plank’s constant