# Length Contraction Formula

## Length Contraction Formula

When an item travels at the speed of light, it experiences length contraction. As a result, relativity enters the scene. As a result, when an item travels at the speed of light, length contraction occurs. The Length Contraction Formula is defined as a decrease in length if a body is travelling at the speed of light and is attached to the observer.

### What is Length Contraction?

Lorentz contraction or Lorentz-FitzGerald contraction (after Hendrik Lorentz and George Francis FitzGerald) is another name for it, and it is generally only apparent at a significant fraction of the speed of light. The Length Contraction Formula happens exclusively in the direction the body is moving.

The Length Contraction Formula is the occurrence or phenomenon in which the length of a moving item is discovered to be less than its appropriate length, which is the length as measured in the object’s rest frame. George FitzGerald (1889) and Hendrik Antoon Lorentz proposed this contraction phenomenon (1892).

However, Albert Einstein was the first to demonstrate in 1905 that this contraction did not require passage through a fictitious aether and could instead be described using special relativity theory. This hypothesis altered our understanding of space, time, and simultaneity.

It is critical to recall that length contraction cannot be measured in the object’s rest frame, but only in the seen object’s motion frame.

### Length Contraction Formula

According to Einstein’s special relativity, the distance between two locations can change in various reference frames. An object that students measure will be at rest in one reference frame. This is the correct length, which they denote as Δl0.

The other observer, who is in a different reference frame, will notice the thing moving. The observed length of the item in this reference frame is labelled l. The observed length is always greater than the correct length. This is a length contraction effect. Both Δl0 and Δl are measured in metres (m).

Observed length = (proper length)–√1 (velocity, speed of light)2

### Solved Examples for Length Contraction Formula

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