Heisenberg Uncertainty Principle

📊 advanced

$$\Delta x \Delta p \geq \frac{\hbar}{2}$$

States that the position and momentum of a particle cannot both be measured exactly at the same time.

Variables & Units

$\Delta x$

Uncertainty in position

Unit: Meter ($m$)

$\Delta p$

Uncertainty in momentum

Unit: $kg \cdot m/s$

$\hbar$

Reduced Planck constant

Unit: $\frac{h}{2\pi} \approx 1.054 \times 10^{-34} J \cdot s$

Key Information

📐 Derived From

Wave mechanics and the non-commutativity of operators.

💡 Example

Explaining why electrons do not collapse into the nucleus.

🔧 Applications

Quantum computing and particle physics.

⚠️ Constraints

Fundamental limit of nature, not a measurement flaw.

Ready to start your journey?

Talk to an expert counsellor – absolutely free. We'll help you choose the right program.

Get In Touch

Have questions about programs? Need guidance on which course fits you? Our team responds fast.

Our counsellors help you pick the right program for your exam goal and timeline — completely free of charge.

Our Office

GRAWIO BANJARI INDUSTRIES PRIVATE LIMITED HD 463 WEWORK DLF FORUM, CYBERCITY PHASE III, DLF QE, Dlf Qe

Email Us

Call / WhatsApp

Monday – Saturday 10 AM – 6 PM Open

Sunday Closed

📍 Walk in for free counselling — no appointment needed

Your Name

Email Address

Phone Number

Your Message