Question

In: Physics

Explain how the The Twin Paradox paradox arises when we use our everyday experience of space...

Explain how the The Twin Paradox paradox arises when we use our everyday experience of space and time as absolutes. To the best of your ability, resolve the The Twin Paradox paradox.

Solutions

Expert Solution

Essentially Twin paradox means lets say two twins on the face of the earth.One of them has a space ship and he went to space with that space ship with a very high velocity while the other stayed in earth.Now lets say after 20 year in earths frame the twin with the space ship came back to earth.Now the question is what will be relative age between the two twins?

Now we know from the prediction of STR that moving clock runs slow.That means as the twin with the space ship is going with a very high velocity the clock associated with his frame must go slow with respect to the earths clock.Hence he will be ageing slowly as compared to the other twin who is on the earth.Now the paradox comes because of the fact that someone would argue that with respect to the rest frame of the twin in the ship the one on the earth is actually moving and he should age slowly.Hence by symmetry when they meet they should have the same age.

But this is not true because the two twins are really not symmetrical.Its true that both are moving in each others rest frame but to compare their ages on of them has to comeback and comeback means reversing velocity implies acceleration.On the other hand the twin on the earth never will feel any acceleration.Hence two motions are really not equivalent(Not symmetrical ).

There is a nice way to setup this problem mathematically and indeed it shows that the one with the space ship ages slowly as compared to the other and when they meet on earth after 20 year the twin with the space ship indeed will be younger than the one on the earth.


Related Solutions

1. Explain how the twin paradox arises when we use our everyday experience of space and...
1. Explain how the twin paradox arises when we use our everyday experience of space and time as absolutes. 2. To the best of your ability, resolve the twin paradox
How is it that we urinate different amounts everyday but our body is able to keep...
How is it that we urinate different amounts everyday but our body is able to keep the glomerular filtration stabled?
Due to our reliance on chemicals to solve everyday problems, we live in a world in...
Due to our reliance on chemicals to solve everyday problems, we live in a world in which potential teratogens are becoming more abundant. Identify and research at least three items in your home that may potentially be harmful to an unborn child and then describe potential teratogenic effects of each item.
How Do Social Groups We Belong to Impact Our Lives? Does Our Behavior Change When We...
How Do Social Groups We Belong to Impact Our Lives? Does Our Behavior Change When We Are in Different Social Groups?
Explain how a free-rider problem arises in a currency union when a government raises the national...
Explain how a free-rider problem arises in a currency union when a government raises the national debt in high levels
In around 100 words explain how the free-rider problem arises in a currency union when a...
In around 100 words explain how the free-rider problem arises in a currency union when a government raises the national debt in high levels
We assume that our wages will increase as we gain experience and become more valuable to...
We assume that our wages will increase as we gain experience and become more valuable to our employers. Wages also increase because of inflation. By examining a sample of employees at a given point in time, we can look at part of the picture. How does length of service (LOS) relate to wages? The data here (data337.dat) is the LOS in months and wages for 60 women who work in Indiana banks. Wages are yearly total income divided by the...
We assume that our wages will increase as we gain experience and become more valuable to...
We assume that our wages will increase as we gain experience and become more valuable to our employers. Wages also increase because of inflation. By examining a sample of employees at a given point in time, we can look at part of the picture. How does length of service (LOS) relate to wages? The data here (data297.dat) is the LOS in months and wages for 60 women who work in Indiana banks. Wages are yearly total income divided by the...
We assume that our wages will increase as we gain experience and become more valuable to...
We assume that our wages will increase as we gain experience and become more valuable to our employers. Wages also increase because of inflation. By examining a sample of employees at a given point in time, we can look at part of the picture. How does length of service (LOS) relate to wages? The data here (data272.dat) is the LOS in months and wages for 60 women who work in Indiana banks. Wages are yearly total income divided by the...
We assume that our wages will increase as we gain experience and become more valuable to...
We assume that our wages will increase as we gain experience and become more valuable to our employers. Wages also increase because of inflation. By examining a sample of employees at a given point in time, we can look at part of the picture. How does length of service (LOS) relate to wages? The data here (data408.dat) is the LOS in months and wages for 60 women who work in Indiana banks. Wages are yearly total income divided by the...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT