00:01
Hello students, in this question we are asked is it possible for a person to have a life expectancy of 70 years to make a round trip journey to the known universe? so that is the question.
00:14
So there are some factors affecting this.
00:17
So the one is distances, distance of galaxies, the speed of light, sea time dilation, all these factors comes in.
00:31
And then we have the biological factors of maintenance and energy requirements.
00:36
So disregarding all those things, we can start just calculating.
00:40
So we can first calculate the lorentz factor for transfer the traveling.
00:46
So let's take a speed of the person as 0 .99 times the speed of light.
00:53
And then if so, then the lorentz factor will be equal to 1 by square root of 1 minus c square v square by c square.
00:59
So that is equal to substitute the values here.
01:02
So you get 1 by square root of 1 minus 0 .99.
01:06
So the 99 the whole square.
01:10
So what you will get will be equal to 7 .088 will be the lorentz factor.
01:18
So with the lorentz factor, we can write down the time experienced by that person.
01:23
Moving will be equal to the time of the regular observer divided by the lorentz factor.
01:30
Or we can say we can use the formula of time t will be equal to d by v, which is a distance by velocity.
01:40
So we can substitute that distance by velocity times gamma.
01:45
So now let's calculate the tau value.
01:47
So tau will be equal to distance, which is in normal terms, the distance of interplanetary distance of galaxies is approximately equal to 2 times like 93 billion light years.
02:05
So 93 billion light years...