There are two twins, A and B. While twin A stays home, twin B travels with a speed (12/13)c to a far planet. Once twin B arrives at the planet, they turn around and travel back home at the same speed. When twin B arrives home, they find that they are 32 years younger than twin A.  Quantitatively prove that twin A cannot be younger than than twin B when they get back together.

Q: (a) According to the theory of special relativity, what is the difference between their ages when…

A: GIVEN: Age of both twins=19 yrs distance d =12 ly speed of one boy v1 =0.832c speed of another boy…

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Q: The control panel on a spaceship contains a light that blinks every 2.71 s as observed by an…

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Q: Suppose a cosmic ray colliding with a nucleus in the Earth's upper atmosphere produces a muon that…

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A: speed (v) = 0.6 c time interval between two events on earth (t) = 32 h

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Q: Suppose a particle called a kaon is created by cosmic radiation striking the atmosphere. It moves by…

A: Given data:Speed of particle is, .Actual life of particle is, .

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Q: The identical twins Speedo and Goslo join a migration from the Earth to Planet X, which is 20.0…

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Q: The origins of two frames coincide at t = t' = 0 and the relative speed is 0.968c. Two…

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A:

Q: Fred and George are 19.0 years of age when they left earth to travel to a distant planet 12.0…

A: GIVEN: Age of both twins Fred and George =19 yrs distance d =12 ly speed of Fred  v1 =0.9c speed of…

Q: A muon formed high in the Earth's atmosphere is measured by an observer on the Earth's surface to…

A: Given, Distance measured by an observer on the earth surface , l=3.43km=3430 m Speed measured by an…

Q: A car has length 4.40 m when it is at rest relative to you. If it moves past you at a speed of…

A: Given data:  Length of car at rest (L0) = 4.40 m Speed of car (v) = 0.88c Required: Measured length

Q: Two spaceships A and B are travelling in opposite directions and pass each other. A passenger in…

A: Given,  There are 2 spaceships A and B. The length of ship A measured by a passenger traveling in…

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Q: Two radioactive nuclei are traveling in space to the right at 0.42c with respect to Earth. They both…

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A: The expression for the relativistic velocity addition is given as  u=v+u'1+vu'c2 where v is the…

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A: The new energy of the proton and anti-proton in Giga Electron Volt(GEV). Given, Rest mass…

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Q: Spaceships A and B move in opposite directions at the same speed of  0.863c  relative to earth,…

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Q: As a result of the collisions of cosmic rays with atoms in the upper atmosphere, muon particles are…

A: Muon is an unstable particle and will decay very fast. It follows the exponential decay function…

Q: Twins who are 19.0 years of age leave the earth and travel to a distant planet 12.0 light-years…

A: GIVEN: Age of both twins=19 yrs distance d =12 ly speed of one boy v1 =0.905c speed of another boy…

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Q: An observer in reference

A: 2.29×10-4 s

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A: Mass of deuteron m = 3.34×10-27 kg Speed of deuteron v = 0.950c

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A:

Q: An observer moving at a speed of 0.995c relative to a rod (see figure below) measures its length to…

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Q: How far from the earth would you be able to travel in a lifetime of 81 years if you were able to…

A: Given, Life-time measured in the earth's frame t0 = 81 years. speed (v) =0.82 c where "c" = speed of…

Q: Why is the following situation impossible? On their 40th birthday, twins Speedo and Goslo say…

A: Determine the total time taken by Speedo in traveling between the two planets (going and returning…

Q: (a) According to the theory of special relativity, what is the difference between their ages when…

A:

Proper Length

The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot move faster than light. The most crucial postulate of Einstein's special relativity is that the laws of nature do not change in each frame of reference.