Class 11 Exam > Class 11 Questions > In a certain oscillatory system,the amplitude...
Start Learning for Free
In a certain oscillatory system,the amplitude pf motion is 5m and the time period is 4s.The time taken by the particle for passing between poits which are at distances of 4m and 2m from the center and on the same side of it will be (a) 0.30s (b) 0.32s (c) 0.33s (d) 0.35s The correct pption is 'c' can anyone explain?
Most Upvoted Answer
In a certain oscillatory system,the amplitude pf motion is 5m and the ...
Understanding the Oscillatory Motion
In this oscillatory system, we have the following parameters:
- Amplitude (A): 5 m
- Time Period (T): 4 s
The particle oscillates between the extremes of motion, which means it moves from -A to +A.
Finding the Angular Frequency
The angular frequency (ω) can be calculated using the relation:
- ω = 2π / T
Substituting the values:
- ω = 2π / 4 = π/2 rad/s
Position of the Particle
The displacement (x) from the mean position can be expressed as:
- x(t) = A * sin(ωt)
Finding Time Between Specific Points
We need to find the time taken for the particle to move from 4 m to 2 m on the same side of the center.
1. Position Calculation:
- For x = 4 m:
- 4 = 5 * sin(ωt1) → sin(ωt1) = 4/5
- For x = 2 m:
- 2 = 5 * sin(ωt2) → sin(ωt2) = 2/5
2. Time Calculation:
- Using the inverse sine function, we can calculate t1 and t2:
- t1 = (1/ω) * arcsin(4/5)
- t2 = (1/ω) * arcsin(2/5)
3. Time Difference:
- The time taken to move between these two positions is:
- Δt = t2 - t1
After performing the calculations, we find that Δt is approximately 0.33 s.
Conclusion
The time taken by the particle to pass between points at distances 4 m and 2 m from the center is 0.33 s, confirming that the correct option is (c).
In this oscillatory system, we have the following parameters:
- Amplitude (A): 5 m
- Time Period (T): 4 s
The particle oscillates between the extremes of motion, which means it moves from -A to +A.
Finding the Angular Frequency
The angular frequency (ω) can be calculated using the relation:
- ω = 2π / T
Substituting the values:
- ω = 2π / 4 = π/2 rad/s
Position of the Particle
The displacement (x) from the mean position can be expressed as:
- x(t) = A * sin(ωt)
Finding Time Between Specific Points
We need to find the time taken for the particle to move from 4 m to 2 m on the same side of the center.
1. Position Calculation:
- For x = 4 m:
- 4 = 5 * sin(ωt1) → sin(ωt1) = 4/5
- For x = 2 m:
- 2 = 5 * sin(ωt2) → sin(ωt2) = 2/5
2. Time Calculation:
- Using the inverse sine function, we can calculate t1 and t2:
- t1 = (1/ω) * arcsin(4/5)
- t2 = (1/ω) * arcsin(2/5)
3. Time Difference:
- The time taken to move between these two positions is:
- Δt = t2 - t1
After performing the calculations, we find that Δt is approximately 0.33 s.
Conclusion
The time taken by the particle to pass between points at distances 4 m and 2 m from the center is 0.33 s, confirming that the correct option is (c).
Community Answer
In a certain oscillatory system,the amplitude pf motion is 5m and the ...
A
Attention Class 11 Students!
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.
|
Explore Courses for Class 11 exam
|
|
Top Courses for Class 11View all
In a certain oscillatory system,the amplitude pf motion is 5m and the time period is 4s.The time taken by the particle for passing between poits which are at distances of 4m and 2m from the center and on the same side of it will be (a) 0.30s (b) 0.32s (c) 0.33s (d) 0.35s The correct pption is 'c' can anyone explain?
Question Description
In a certain oscillatory system,the amplitude pf motion is 5m and the time period is 4s.The time taken by the particle for passing between poits which are at distances of 4m and 2m from the center and on the same side of it will be (a) 0.30s (b) 0.32s (c) 0.33s (d) 0.35s The correct pption is 'c' can anyone explain? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about In a certain oscillatory system,the amplitude pf motion is 5m and the time period is 4s.The time taken by the particle for passing between poits which are at distances of 4m and 2m from the center and on the same side of it will be (a) 0.30s (b) 0.32s (c) 0.33s (d) 0.35s The correct pption is 'c' can anyone explain? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a certain oscillatory system,the amplitude pf motion is 5m and the time period is 4s.The time taken by the particle for passing between poits which are at distances of 4m and 2m from the center and on the same side of it will be (a) 0.30s (b) 0.32s (c) 0.33s (d) 0.35s The correct pption is 'c' can anyone explain?.
In a certain oscillatory system,the amplitude pf motion is 5m and the time period is 4s.The time taken by the particle for passing between poits which are at distances of 4m and 2m from the center and on the same side of it will be (a) 0.30s (b) 0.32s (c) 0.33s (d) 0.35s The correct pption is 'c' can anyone explain? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about In a certain oscillatory system,the amplitude pf motion is 5m and the time period is 4s.The time taken by the particle for passing between poits which are at distances of 4m and 2m from the center and on the same side of it will be (a) 0.30s (b) 0.32s (c) 0.33s (d) 0.35s The correct pption is 'c' can anyone explain? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a certain oscillatory system,the amplitude pf motion is 5m and the time period is 4s.The time taken by the particle for passing between poits which are at distances of 4m and 2m from the center and on the same side of it will be (a) 0.30s (b) 0.32s (c) 0.33s (d) 0.35s The correct pption is 'c' can anyone explain?.
Solutions for In a certain oscillatory system,the amplitude pf motion is 5m and the time period is 4s.The time taken by the particle for passing between poits which are at distances of 4m and 2m from the center and on the same side of it will be (a) 0.30s (b) 0.32s (c) 0.33s (d) 0.35s The correct pption is 'c' can anyone explain? in English & in Hindi are available as part of our courses for Class 11.
Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of In a certain oscillatory system,the amplitude pf motion is 5m and the time period is 4s.The time taken by the particle for passing between poits which are at distances of 4m and 2m from the center and on the same side of it will be (a) 0.30s (b) 0.32s (c) 0.33s (d) 0.35s The correct pption is 'c' can anyone explain? defined & explained in the simplest way possible. Besides giving the explanation of
In a certain oscillatory system,the amplitude pf motion is 5m and the time period is 4s.The time taken by the particle for passing between poits which are at distances of 4m and 2m from the center and on the same side of it will be (a) 0.30s (b) 0.32s (c) 0.33s (d) 0.35s The correct pption is 'c' can anyone explain?, a detailed solution for In a certain oscillatory system,the amplitude pf motion is 5m and the time period is 4s.The time taken by the particle for passing between poits which are at distances of 4m and 2m from the center and on the same side of it will be (a) 0.30s (b) 0.32s (c) 0.33s (d) 0.35s The correct pption is 'c' can anyone explain? has been provided alongside types of In a certain oscillatory system,the amplitude pf motion is 5m and the time period is 4s.The time taken by the particle for passing between poits which are at distances of 4m and 2m from the center and on the same side of it will be (a) 0.30s (b) 0.32s (c) 0.33s (d) 0.35s The correct pption is 'c' can anyone explain? theory, EduRev gives you an
ample number of questions to practice In a certain oscillatory system,the amplitude pf motion is 5m and the time period is 4s.The time taken by the particle for passing between poits which are at distances of 4m and 2m from the center and on the same side of it will be (a) 0.30s (b) 0.32s (c) 0.33s (d) 0.35s The correct pption is 'c' can anyone explain? tests, examples and also practice Class 11 tests.
|
|
Explore Courses for Class 11 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