Class 11 Exam > Class 11 Questions > the displacement of an oscillating particle ...
Start Learning for Free
the displacement of an oscillating particle is given by y=a sin (bx+ct+d).Then the dimensional formula for (abcd) will be
Most Upvoted Answer
the displacement of an oscillating particle is given by y=a sin (bx+c...
Dimensional Formula of the Oscillating Particle Equation
The dimensional formula for the constants a, b, c, and d in the equation y=a sin (bx ct d) can be found by analyzing the units of each term in the equation.
Analysis of the Equation
- y represents displacement, which has units of length (L).
- a is the amplitude of the wave, which also has units of length (L).
- sin is a dimensionless function.
- bx has units of radians, since it is the product of an angle and a length.
- ct has units of velocity (LT^-1), since it is the product of a speed and time.
- d has units of radians, since it is an angle.
Dimensional Formula for a, b, c, and d
Using the analysis above, we can write the dimensional formula for the constants a, b, c, and d as:
- Dimensional formula of a = [L]
- Dimensional formula of b = [T]^-1
- Dimensional formula of c = [L][T]^-1
- Dimensional formula of d = [1]
Where [L] represents the dimensional unit for length, [T] represents the dimensional unit for time, and [1] represents a dimensionless unit.
Explanation of the Dimensional Formula
The dimensional formula for a, b, c, and d in the equation y=a sin (bx ct d) indicates the units of measurement for each of the variables. The amplitude (a) and displacement (y) have units of length (L), while the constants b and d are dimensionless. The constant c has units of velocity (LT^-1), which is consistent with the fact that it represents the product of a length and a speed.
Overall, the dimensional formula for the oscillating particle equation provides a way to determine the units of measurement for the various components of the equation, which can be useful in understanding the physical properties of the system being described.
Community Answer
the displacement of an oscillating particle is given by y=a sin (bx+c...
Dimension of a similar to y = L. (bx + ct +d) will be dimensionless so dimension of b = L^-1 c = T^-1. d = 0 so total dimension M^0 L^0 T^-1
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
the displacement of an oscillating particle is given by y=a sin (bx+ct+d).Then the dimensional formula for (abcd) will be
Question Description
the displacement of an oscillating particle is given by y=a sin (bx+ct+d).Then the dimensional formula for (abcd) will be 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 the displacement of an oscillating particle is given by y=a sin (bx+ct+d).Then the dimensional formula for (abcd) will be covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for the displacement of an oscillating particle is given by y=a sin (bx+ct+d).Then the dimensional formula for (abcd) will be.
the displacement of an oscillating particle is given by y=a sin (bx+ct+d).Then the dimensional formula for (abcd) will be 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 the displacement of an oscillating particle is given by y=a sin (bx+ct+d).Then the dimensional formula for (abcd) will be covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for the displacement of an oscillating particle is given by y=a sin (bx+ct+d).Then the dimensional formula for (abcd) will be.
Solutions for the displacement of an oscillating particle is given by y=a sin (bx+ct+d).Then the dimensional formula for (abcd) will be 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 the displacement of an oscillating particle is given by y=a sin (bx+ct+d).Then the dimensional formula for (abcd) will be defined & explained in the simplest way possible. Besides giving the explanation of
the displacement of an oscillating particle is given by y=a sin (bx+ct+d).Then the dimensional formula for (abcd) will be, a detailed solution for the displacement of an oscillating particle is given by y=a sin (bx+ct+d).Then the dimensional formula for (abcd) will be has been provided alongside types of the displacement of an oscillating particle is given by y=a sin (bx+ct+d).Then the dimensional formula for (abcd) will be theory, EduRev gives you an
ample number of questions to practice the displacement of an oscillating particle is given by y=a sin (bx+ct+d).Then the dimensional formula for (abcd) will be 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