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Determine the time [in day as measured by a clock at rest (on the rocket) taken by a rocket to reach a distant star and return to earth with a constant velocity 
if the distance to the star is 4 light years (A light year is defined as the distance travelled by a light beam in vacuum in one year).
if the distance to the star is 4 light years (A light year is defined as the distance travelled by a light beam in vacuum in one year).Correct answer is '29.2'. Can you explain this answer?
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Verified Answer
Determine the time [in day as measured by a clock at rest (on the rock...
From the Lorentz transformation equation for time, we have
Here x = 2 x 4 light year
= 2 x 4 x 365 x 24 x 60 x 60 x c cm.
= 2.523 x 106 c,
where t is the time taken by the rocket to reach the star and back to the earth as measured by an observer in a stationary frame at earth and t' is the time measured by the clock in the moving rocket for the total journey
Now,
where 
∴
or
...(ii)
Substituting the values of x and v in equation (2), we get
or
= 2.523 x 106 sec
or 29.2 day
Here x = 2 x 4 light year
= 2 x 4 x 365 x 24 x 60 x 60 x c cm.
= 2.523 x 106 c,
where t is the time taken by the rocket to reach the star and back to the earth as measured by an observer in a stationary frame at earth and t' is the time measured by the clock in the moving rocket for the total journey
Now,
where ∴
or
...(ii)Substituting the values of x and v in equation (2), we get
or
= 2.523 x 106 sec
or 29.2 day
Most Upvoted Answer
Determine the time [in day as measured by a clock at rest (on the rock...
From the Lorentz transformation equation for time, we have
Here x = 2 x 4 light year
= 2 x 4 x 365 x 24 x 60 x 60 x c cm.
= 2.523 x 106 c,
where t is the time taken by the rocket to reach the star and back to the earth as measured by an observer in a stationary frame at earth and t' is the time measured by the clock in the moving rocket for the total journey
Now, where
∴
or ...(ii)
Substituting the values of x and v in equation (2), we get
or
= 2.523 x 106 sec
or 29.2 day
Here x = 2 x 4 light year
= 2 x 4 x 365 x 24 x 60 x 60 x c cm.
= 2.523 x 106 c,
where t is the time taken by the rocket to reach the star and back to the earth as measured by an observer in a stationary frame at earth and t' is the time measured by the clock in the moving rocket for the total journey
Now,
where ∴
or
...(ii)Substituting the values of x and v in equation (2), we get
or
= 2.523 x 106 sec
or 29.2 day
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Community Answer
Determine the time [in day as measured by a clock at rest (on the rock...
From the Lorentz transformation equation for time, we have
Here x = 2 x 4 light year
= 2 x 4 x 365 x 24 x 60 x 60 x c cm.
= 2.523 x 106 c,
where t is the time taken by the rocket to reach the star and back to the earth as measured by an observer in a stationary frame at earth and t' is the time measured by the clock in the moving rocket for the total journey
Now,
where 
∴
or
...(ii)
Substituting the values of x and v in equation (2), we get
or
= 2.523 x 106 sec
or 29.2 day
Here x = 2 x 4 light year
= 2 x 4 x 365 x 24 x 60 x 60 x c cm.
= 2.523 x 106 c,
where t is the time taken by the rocket to reach the star and back to the earth as measured by an observer in a stationary frame at earth and t' is the time measured by the clock in the moving rocket for the total journey
Now,
where ∴
or
...(ii)Substituting the values of x and v in equation (2), we get
or
= 2.523 x 106 sec
or 29.2 day
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Determine the time [in day as measured by a clock at rest (on the rocket) taken by a rocket to reach a distant star and return to earth with a constant velocityif the distance to the star is 4 light years (A light year is defined as the distance travelled by a light beam in vacuum in one year).Correct answer is '29.2'. Can you explain this answer?
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Determine the time [in day as measured by a clock at rest (on the rocket) taken by a rocket to reach a distant star and return to earth with a constant velocityif the distance to the star is 4 light years (A light year is defined as the distance travelled by a light beam in vacuum in one year).Correct answer is '29.2'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about Determine the time [in day as measured by a clock at rest (on the rocket) taken by a rocket to reach a distant star and return to earth with a constant velocityif the distance to the star is 4 light years (A light year is defined as the distance travelled by a light beam in vacuum in one year).Correct answer is '29.2'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Determine the time [in day as measured by a clock at rest (on the rocket) taken by a rocket to reach a distant star and return to earth with a constant velocityif the distance to the star is 4 light years (A light year is defined as the distance travelled by a light beam in vacuum in one year).Correct answer is '29.2'. Can you explain this answer?.
Determine the time [in day as measured by a clock at rest (on the rocket) taken by a rocket to reach a distant star and return to earth with a constant velocityif the distance to the star is 4 light years (A light year is defined as the distance travelled by a light beam in vacuum in one year).Correct answer is '29.2'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about Determine the time [in day as measured by a clock at rest (on the rocket) taken by a rocket to reach a distant star and return to earth with a constant velocityif the distance to the star is 4 light years (A light year is defined as the distance travelled by a light beam in vacuum in one year).Correct answer is '29.2'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Determine the time [in day as measured by a clock at rest (on the rocket) taken by a rocket to reach a distant star and return to earth with a constant velocityif the distance to the star is 4 light years (A light year is defined as the distance travelled by a light beam in vacuum in one year).Correct answer is '29.2'. Can you explain this answer?.
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