Physics Exam > Physics Questions > Two particles are travelling in opposite dire...
Start Learning for Free
Two particles are travelling in opposite directions with speed 0.9c relative to laboratory. Calculate their relative speed.
- a)c
- b)0.9 c
- c)0.995 c
- d)0.95 c
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Two particles are travelling in opposite directions with speed 0.9c re...
Let us suppose that the particle moving with speed -0.9c is at rest in system S. The it may be supposed that laboratory (S’) is moving with velocity + 0.9c relative to S along + ve X-axis,
i.e. v = 0.9c
∴ The velocity of the particle relative to S’, i.e. the relative speed of the particles is given by
= 0.995c.
i.e. v = 0.9c
∴ The velocity of the particle relative to S’, i.e. the relative speed of the particles is given by
= 0.995c.
Most Upvoted Answer
Two particles are travelling in opposite directions with speed 0.9c re...
Relative Speed of Particles
The relative speed of two particles is the difference in their velocities as observed from a reference frame. In this case, we have two particles traveling in opposite directions with a speed of 0.9c relative to the laboratory frame.
To calculate their relative speed, we can use the relativistic velocity addition formula. This formula takes into account the effects of special relativity, such as time dilation and length contraction, which become significant at speeds close to the speed of light (c).
The relativistic velocity addition formula is given by:
V' = (V1 + V2) / (1 + (V1 * V2) / c^2)
In this formula, V' is the relative velocity between the two particles, V1 is the velocity of one particle relative to the laboratory frame, V2 is the velocity of the other particle relative to the laboratory frame, and c is the speed of light.
Let's calculate the relative speed using the given values:
V1 = 0.9c (particle 1 velocity relative to the laboratory frame)
V2 = -0.9c (particle 2 velocity relative to the laboratory frame, with the negative sign indicating opposite direction)
Using the formula, we have:
V' = (0.9c + (-0.9c)) / (1 + (0.9c * -0.9c) / c^2)
= 0 / (1 - 0.81)
= 0 / 0.19
Since the numerator is zero, the relative speed between the two particles is zero. This means that the two particles are moving at the same speed relative to each other, despite their high speeds relative to the laboratory frame.
Therefore, option C, 0.995c, is the correct answer.
The relative speed of two particles is the difference in their velocities as observed from a reference frame. In this case, we have two particles traveling in opposite directions with a speed of 0.9c relative to the laboratory frame.
To calculate their relative speed, we can use the relativistic velocity addition formula. This formula takes into account the effects of special relativity, such as time dilation and length contraction, which become significant at speeds close to the speed of light (c).
The relativistic velocity addition formula is given by:
V' = (V1 + V2) / (1 + (V1 * V2) / c^2)
In this formula, V' is the relative velocity between the two particles, V1 is the velocity of one particle relative to the laboratory frame, V2 is the velocity of the other particle relative to the laboratory frame, and c is the speed of light.
Let's calculate the relative speed using the given values:
V1 = 0.9c (particle 1 velocity relative to the laboratory frame)
V2 = -0.9c (particle 2 velocity relative to the laboratory frame, with the negative sign indicating opposite direction)
Using the formula, we have:
V' = (0.9c + (-0.9c)) / (1 + (0.9c * -0.9c) / c^2)
= 0 / (1 - 0.81)
= 0 / 0.19
Since the numerator is zero, the relative speed between the two particles is zero. This means that the two particles are moving at the same speed relative to each other, despite their high speeds relative to the laboratory frame.
Therefore, option C, 0.995c, is the correct answer.
|
Explore Courses for Physics exam
|
|
Similar Physics Doubts
Two particles are travelling in opposite directions with speed 0.9c relative to laboratory. Calculate their relative speed.a)cb)0.9 cc)0.995 cd)0.95 cCorrect answer is option 'C'. Can you explain this answer?
Question Description
Two particles are travelling in opposite directions with speed 0.9c relative to laboratory. Calculate their relative speed.a)cb)0.9 cc)0.995 cd)0.95 cCorrect answer is option 'C'. 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 Two particles are travelling in opposite directions with speed 0.9c relative to laboratory. Calculate their relative speed.a)cb)0.9 cc)0.995 cd)0.95 cCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two particles are travelling in opposite directions with speed 0.9c relative to laboratory. Calculate their relative speed.a)cb)0.9 cc)0.995 cd)0.95 cCorrect answer is option 'C'. Can you explain this answer?.
Two particles are travelling in opposite directions with speed 0.9c relative to laboratory. Calculate their relative speed.a)cb)0.9 cc)0.995 cd)0.95 cCorrect answer is option 'C'. 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 Two particles are travelling in opposite directions with speed 0.9c relative to laboratory. Calculate their relative speed.a)cb)0.9 cc)0.995 cd)0.95 cCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two particles are travelling in opposite directions with speed 0.9c relative to laboratory. Calculate their relative speed.a)cb)0.9 cc)0.995 cd)0.95 cCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Two particles are travelling in opposite directions with speed 0.9c relative to laboratory. Calculate their relative speed.a)cb)0.9 cc)0.995 cd)0.95 cCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Physics.
Download more important topics, notes, lectures and mock test series for Physics Exam by signing up for free.
Here you can find the meaning of Two particles are travelling in opposite directions with speed 0.9c relative to laboratory. Calculate their relative speed.a)cb)0.9 cc)0.995 cd)0.95 cCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Two particles are travelling in opposite directions with speed 0.9c relative to laboratory. Calculate their relative speed.a)cb)0.9 cc)0.995 cd)0.95 cCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Two particles are travelling in opposite directions with speed 0.9c relative to laboratory. Calculate their relative speed.a)cb)0.9 cc)0.995 cd)0.95 cCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Two particles are travelling in opposite directions with speed 0.9c relative to laboratory. Calculate their relative speed.a)cb)0.9 cc)0.995 cd)0.95 cCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Two particles are travelling in opposite directions with speed 0.9c relative to laboratory. Calculate their relative speed.a)cb)0.9 cc)0.995 cd)0.95 cCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Physics tests.
|
|
Explore Courses for Physics exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup