Created By : Abhinandan Kumar

Reviewed By : Rajashekhar Valipishetty

Last Updated : May 16, 2023

Simply enter the uncertainty velocity, object mass, and uncertainty momentum, then click the calculate button to get the result in less time. It will give you the minimum standard deviation you could hope to obtain of a simultaneous momentum measurement, and vice versa.

Choose a Calculation:
Momentum uncertainty (σₚ)

### Heisenberg's Uncertainty Principle Definition

Quantum mechanics is a branch of physics that deals with measurements on a very small scale. The fact that measurements are made in macro and microphysics can have a wide range of outcomes. Other pairings of complementary quantum attributes, such as energy and time and angular position and angular momentum, can be used to the Heisenberg uncertainty principle.

### Heisenberg's Uncertainty Principle Formula

In quantum physics, the Heisenberg uncertainty principle, sometimes known as the uncertainty principle, is a crucial idea. The uncertainty principle states that a particle's position and momentum cannot be precisely measured at the same time. At all times, the result of position and momentum is larger than h/4. The Heisenberg Uncertainty Principle's formula is as follows:

The formula of the Heisenberg Uncertainty Principle is defined as σxσp≥h/4π

• Where, the Planck constant (6.62607004 10-34 m2 kg / s) is denoted by h.
• The uncertainty in momentum is denoted by σp.
• σx denotes the degree of positional uncertainty.

### How to Calculate the Heisenberg Uncertainty Principle?

The calculator itself is simple to operate. Enter a value for the position measurement's standard deviation, and it will calculate the smallest possible standard deviation for a contemporaneous momentum measurement. Follow the upcoming steps

• Get the object's mass, momentum uncertainty, and velocity.
• Multiply the mass of the object by its velocity.
• Calculate the change in momentum uncertainty.
• Calculate the product of 4π and the momentum change.
• To get the uncertainty position, divide the constant by the product.

### Heisenberg's Uncertainty Principle Examples

Question 1: What if we tried to apply Heisenberg's uncertainty principle to something non-quantum, like a baseball?

Solution:

Consider the question,

Our baseball is going at 92 miles per hour, as measured by a radar gun with a precision of 1 mile per hour. Supplied a 149-gram baseball, we can calculate the uncertainty in the momentum directly because the precision is given as an absolute value:

σp = mv=(149 g)*(1 mph)

σp=(0.149 kg) * (1.61 m/s)

As a result,σp= 0.24 kg⋅m/s

Question 2: How to obtain the minimal uncertainty in location allowed by quantum physics?

Solution:

Consider the question,

By using Heisenberg's uncertainty principle equation

σx=(6.63 × 10‑34J⋅s)/(4 * 3.14159*(0.24 kg⋅m/s))

σx=2.20 × 10‑34m

As a result,σx=2.20×10‑34m

For more concepts check out physicscalculatorpro.com to get quick answers by using this free tool.

### FAQs on Heisenberg's Uncertainty Principle Calculator

1. What is the definition of Heisenberg's Uncertainty Principle?

The measurement of macro and micro-physics is the subject of quantum mechanics.It states that a particle's position and momentum cannot be reliably calculated at the same time.As a result, the sum of position and momentum always exceeds h/4.

2. How to determine the Heisenberg Uncertainty Principle using the calculator?

The calculator itself is simple to operate. Enter a value for the position measurement's standard deviation, and it will calculate the smallest possible standard deviation for a contemporaneous momentum measurement.

3. What about the Heisenberg Uncertainty Principle in quantum property?

Uncertainty principle states that you cannot measure all of the quantum properties of a particle with the same accuracy at the same time. If your experiment sets out to measure one quantum property with high precision, then you will lose accuracy in the measurement of its other properties.