Take Class 11 Tuition from the Best Tutors
Affordable fees 1-1 or Group class Flexible Timings Verified Tutors Search in
Given that the displacement of an oscillating particle, y =A sin(Bx +Ct+D). Find the dimensional formula for (ABCD).
Asked by Anita Last Modified
Answer From the given equation it is clear that (Bx+Ct+D) must be an angle. Therefore (Bx+Ct+D) is a dimensionless quantity because it is an angle. So for that if we want to make this dimension les, B must be in the dimension of (1/x), C must be in the dimension of (1/t) and D should be a number only.Now the left side of the equation is given in the dimension of displacement, so the dimension of A in the right hand must be in the same dimension of 'y'. Therefore it concludes that the dimensions of A,B,C,D are like these,
A= [ L M*0 T*0]
B=[L*-1 M*0 T*0]
C=[L*0 M*0 T*-1]
D=[L*0 M*0 T*0]
(ABCD)=1/[T] =[M*0 L*0 T*-1] =[T*-1]
read lessRelated Questions
Can you add three unit vectors to get a unit vector? Does the answer change if two unit vectors are along coordinate axis? Please give example.
Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com
Ask a QuestionRelated Lessons
Recommended Articles
How To Choose The Right School For Children?
Quality education does not only help children to get a successful career and life, but it also hugely contributes to society. The formal education of every child starts from school. Although there are numerous schools, parents find it challenging to choose the right one that would fit their child. It is difficult for them...
Read full article >
Top Benefits of e-Learning
With the current trend of the world going digital, electronic renaissance is a new movement that is welcomed by the new generation as it helps makes the lives of millions of people easier and convenient. Along with this rapidly changing movement and gaining popularity of Internet, e-Learning is a new tool that emerging...
Read full article >
6 Exam Hall Tips To Follow, For Every Good Student
Appearing for exams could be stressful for students. Even though they might have prepared well, they could suffer from anxiety, tension etc. These are not good for their health and mind. However, following a few exam preparation tips can save them from all these and help them to score good marks. Let’s find out all...
Read full article >
The Trend of E-learning and it’s Benefits
E-learning is not just about delivering lessons online. It has a much broader scope that goes beyond manual paper or PowerPoint Presentations. To understand the reach of E-learning and how the whole process works in developing the Educational system, we will discuss a few points here. Let us find out how this new learning...
Read full article >
Looking for Class 11 Tuition ?
Learn from the Best Tutors on UrbanPro
Are you a Tutor or Training Institute?
Join UrbanPro Today to find students near youThe best tutors for Class 11 Tuition Classes are on UrbanPro
The best Tutors for Class 11 Tuition Classes are on UrbanPro
8
