UPSC Exam > UPSC Questions > A particle located at x=0 and t=0 and starts ...
Start Learning for Free
A particle located at x=0 and t=0 and starts moving along positive x-axis with a velocity that varies as v=b√x the displacement of particle vary with time as 1)t 2)t^ 3)t1/2 4)t3/2?
Most Upvoted Answer
A particle located at x=0 and t=0 and starts moving along positive x-a...
Velocity of the Particle:
- The velocity of the particle is given by v = b√x, where b is a constant and x is the displacement of the particle.
- This means that the velocity of the particle increases as the square root of its displacement.
Displacement of the Particle vs Time:
- The displacement of the particle can be found by integrating the velocity function with respect to time.
- ∫(dx/dt) dt = ∫b√x dt
- dx = b√x dt
- ∫(1/√x) dx = b∫dt
- 2√x = bt + C
- x = (b/2)t^2 + C
Variation of Displacement with Time:
- As we can see from the above equation, the displacement of the particle varies with time as t^2.
- This means that the displacement of the particle is directly proportional to the square of time.
- The option that best represents the variation of displacement with time is t^2.
Therefore, the displacement of the particle varies with time as t^2 when its velocity is given by v = b√x.
- The velocity of the particle is given by v = b√x, where b is a constant and x is the displacement of the particle.
- This means that the velocity of the particle increases as the square root of its displacement.
Displacement of the Particle vs Time:
- The displacement of the particle can be found by integrating the velocity function with respect to time.
- ∫(dx/dt) dt = ∫b√x dt
- dx = b√x dt
- ∫(1/√x) dx = b∫dt
- 2√x = bt + C
- x = (b/2)t^2 + C
Variation of Displacement with Time:
- As we can see from the above equation, the displacement of the particle varies with time as t^2.
- This means that the displacement of the particle is directly proportional to the square of time.
- The option that best represents the variation of displacement with time is t^2.
Therefore, the displacement of the particle varies with time as t^2 when its velocity is given by v = b√x.
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Top Courses for UPSCView all
A particle located at x=0 and t=0 and starts moving along positive x-axis with a velocity that varies as v=b√x the displacement of particle vary with time as 1)t 2)t^ 3)t1/2 4)t3/2?
Question Description
A particle located at x=0 and t=0 and starts moving along positive x-axis with a velocity that varies as v=b√x the displacement of particle vary with time as 1)t 2)t^ 3)t1/2 4)t3/2? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A particle located at x=0 and t=0 and starts moving along positive x-axis with a velocity that varies as v=b√x the displacement of particle vary with time as 1)t 2)t^ 3)t1/2 4)t3/2? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle located at x=0 and t=0 and starts moving along positive x-axis with a velocity that varies as v=b√x the displacement of particle vary with time as 1)t 2)t^ 3)t1/2 4)t3/2?.
A particle located at x=0 and t=0 and starts moving along positive x-axis with a velocity that varies as v=b√x the displacement of particle vary with time as 1)t 2)t^ 3)t1/2 4)t3/2? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A particle located at x=0 and t=0 and starts moving along positive x-axis with a velocity that varies as v=b√x the displacement of particle vary with time as 1)t 2)t^ 3)t1/2 4)t3/2? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle located at x=0 and t=0 and starts moving along positive x-axis with a velocity that varies as v=b√x the displacement of particle vary with time as 1)t 2)t^ 3)t1/2 4)t3/2?.
Solutions for A particle located at x=0 and t=0 and starts moving along positive x-axis with a velocity that varies as v=b√x the displacement of particle vary with time as 1)t 2)t^ 3)t1/2 4)t3/2? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of A particle located at x=0 and t=0 and starts moving along positive x-axis with a velocity that varies as v=b√x the displacement of particle vary with time as 1)t 2)t^ 3)t1/2 4)t3/2? defined & explained in the simplest way possible. Besides giving the explanation of
A particle located at x=0 and t=0 and starts moving along positive x-axis with a velocity that varies as v=b√x the displacement of particle vary with time as 1)t 2)t^ 3)t1/2 4)t3/2?, a detailed solution for A particle located at x=0 and t=0 and starts moving along positive x-axis with a velocity that varies as v=b√x the displacement of particle vary with time as 1)t 2)t^ 3)t1/2 4)t3/2? has been provided alongside types of A particle located at x=0 and t=0 and starts moving along positive x-axis with a velocity that varies as v=b√x the displacement of particle vary with time as 1)t 2)t^ 3)t1/2 4)t3/2? theory, EduRev gives you an
ample number of questions to practice A particle located at x=0 and t=0 and starts moving along positive x-axis with a velocity that varies as v=b√x the displacement of particle vary with time as 1)t 2)t^ 3)t1/2 4)t3/2? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup