Concepts Of Physics MCQ Edition [Volume 2]
- Exam
- Concepts Of Physics MCQ Edition [Volume 2]
- Subject
- Physics
- Chapter
- The Special Theory of Relativity
Concepts Of Physics MCQ Edition [Volume 2] · Physics · The Special Theory of Relativity
If a person lives on average 100 years in his rest frame, determine...
If a person lives on average years in his rest frame, determine how long he lives in the earth frame if he spends his entire life on a spaceship travelling at of the speed of light.
Options
- A years
- B years
- C years
- D years
Correct answer
B. years
Step-by-step solution
The proper time interval, which is the lifetime measured in the person's rest frame, is years.
The velocity of the spaceship relative to the Earth frame is .
Using the time dilation formula, the lifetime measured in the Earth frame is given by:
Substituting the given values:
The velocity of the spaceship relative to the Earth frame is .
Using the time dilation formula, the lifetime measured in the Earth frame is given by:
Substituting the given values: