PARADOXES:- The pole in the barn paradox

-
 The pole in the barn paradox is the thought experiment related to the special theory of relativity which is also a famous variation in the twin paradox.

We have to imagine references, because everything in the universe is happening concerning others, and if we have to understand the paradoxes then we have to understand the reference for smooth imagination.

The paradox is an antinomy, It is a logically self-contradictory statement.

If we want to understand with a reference language then the paradox is a statement that runs contrary to one's expectation.

To understand the pole in the barn paradox we have to understand length contraction first.

Length Contraction:  It is the basic concept of relativity in which a moving object’s length is measured to be shorter than its proper length

The proper length is the length measured when an object is at rest in its frame of reference. That’s why I told you that the reference is a must to imagine.

Suppose, there is one train A of 4000cm. Something about 40m, 40 meter is the proper measurement of the train when it is at rest. But one passenger name sam is waiting on the platform for train B. but suddenly train A is passed at the speed of light or less than that, 

According to length contraction, Sam on the platform observes that the length of the train is less than 40m. That means the length of train A is get contracted.

L=L0 /𝞬(v) 

L=L0 /√(1-v2/c2)

Here, L is the observed length in the reference frame in which the object is moving 

Lo is the proper length of the object in its rest frame 

𝞬(v) = √(1-v2/c2)  Lorentz factor

(v) Is the relative velocity between the inertial frame of reference 

C is the speed of light 


Lorentz factor:-  It is a Quite interesting phenomenon in the special theory of relativity it is a base of the theory 

It is the quantity that expresses The Lorentz factor or Lorentz term is a quantity expressing how much the measurements of time, length, and other physical properties change for an object while that object is moving. 

𝞬(v) = √(1-v2/c2)

Now, this is the basic theory that supports the pole in the barn paradox. 

Now, the actual theory begins... 

Now imagine, there is one barn and our sam is about to pass from that barn but he is carrying one pole whose length is more than barn size, 

He is running from that barn with both doors of the barn is open widely

Now from sam's reference 

The barn is moving towards sam 

And the length of the barn is contracted as he is constant in his reference 

But from the barn's or observer's  reference ( who is observing this event ) size of the pole is getting compressed than the original one

According to theory, the sam and that pole is to be in the barn at a time and also both door of that barn is to be close as the size of pole is reduced due to length contraction and high speed 

This is the theory 

Hope you understand 

This is our blog, hope you find it is very nice, impressive 

Follow us on Instagram kkedar290 

  Gmail  kedarkulkarnires072@gmail.com

 Give us your feedback is really important to us 

- Kedar Kulkarni

Comments

Post a Comment

Popular posts from this blog

Evidences for the Dark Matter

-
Image
  Dark matter is known  as the “missing mass,” dark matter’s existence was first inferred by Swiss American astronomer Fritz Zwicky, who in 1933 discovered that the mass of all the stars in the Coma cluster of galaxies provided only about 1 percent of the mass needed to keep the galaxies from escaping the cluster’s gravitational pull.  In this blog we will discuss 5 different pieces of evidence for the existence of the dark matter  BENDING OF LIGHT Gravitational lensing:- The amount of bending is proportional to the mass of the object that causing the bending,  Light gets bent due to the mass of the object. In this image light from the distant galaxy is lensed due to galaxy clusters, so we get lensed images here on the earth. But we are getting an extra lensed image than usual but the Amount of bending is proportional to the mass of the object, so there is evidence of missing mass, We get the factor of the Dark matter here. We can derive the formula for this  As  ROTATIONAL CURVE The f
Read more

Omuamua -The Interstellar Object

-
Image
  1I/2017 U1 'Oumuamua' is the scientific name of Omuamua   Omuamua was the most recent interstellar object detected while passing through the solar system. 1I/2017 U1 ‘Oumuamua, was discovered on October 19, 2017, by the University of Hawaii’s Pan-STARRS1 telescope, which is funded by NASA’s Near-Earth Object Observations (NEOO) Program, which finds and tracks asteroids and comets in Earth’s neighborhood. Initially, it was classified as a comet but after some observations like speed and direction of path no signs of cometary activity were revealed as it slingshotted past the Sun on Sept. 9, 2017, at a blistering speed of 196,000 miles per hour (87.3 kilometers per second).   Size, Shape, and specifications Omuamua was The first confirmed object from another star to visit our solar system, It was looking like a rocky body and somewhat cigar-shaped object, very weird straight and slim shape and its color was reddish hue due to effects of irradiation from cosmic rays over hundre
Read more

CONJUCTION - 21DECEMBER 2020

-
Image
21 December-the day of the solstice- is the day where we saw the conjunction of Jupiter and Saturn.  But some curious minds will think that what is the conjunction?  In astronomy, a conjunction occurs when any two astronomical objects (such as asteroids, moons, planets, and stars) appear to be close together in the sky, as observed from Earth If two objects have the same right ascension or the same ecliptic longitude, they are considered to be in conjunction with one another. The planets regularly appear to pass each other in the solar system, with the positions of Jupiter and Saturn being aligned in the sky about once every 20 years. But What was special in this year’s conjunction? It’s been nearly 400 years since the planets passed close to each other in the sky, and nearly 800 years since the alignment of Saturn and Jupiter occurred at night, as it will for 2020, allowing nearly everyone around the world to witness this “great conjunction.” History of Jupiter and Saturn conjunction
Read more