Class 11 Exam > Class 11 Questions > If linear momentum p, acceleration a, time t,...
Start Learning for Free
If linear momentum p, acceleration a, time t, are taken to be fundamental quantities, then dimensional formula of mass is?
Most Upvoted Answer
If linear momentum p, acceleration a, time t, are taken to be fundamen...
Dimensional Formula of Mass
When we say that linear momentum p, acceleration a, and time t are fundamental quantities, we mean that they cannot be expressed in terms of other physical quantities. Mass, on the other hand, can be expressed in terms of these fundamental quantities.
Explanation
The dimensional formula of a physical quantity is a way of expressing the physical quantity in terms of the fundamental quantities. In other words, it is a way of expressing a physical quantity in terms of its dimensions. The dimensions of a physical quantity are the powers to which the fundamental quantities must be raised to express the physical quantity in terms of those quantities.
The dimensional formula of mass can be derived using the equation:
p = m * v
Where p is the linear momentum, m is the mass, and v is the velocity.
Linear momentum has the dimensional formula:
[p] = [m][v]
Acceleration has the dimensional formula:
[a] = [v]/[t]
Substituting the value of [v] from the equation for linear momentum, we get:
[a] = [p]/([m][t])
Therefore, the dimensional formula of mass can be derived as:
[m] = [p]/([a][t])
Substituting the dimensions of linear momentum and acceleration, we get:
[m] = [MLT^-1]/([LT^-2][T]) = [M^1L^1T^-2T^-1] = [M^1L^1T^-1]
Conclusion
The dimensional formula of mass is [M^1L^1T^-1]. This means that mass has dimensions of one unit of mass, one unit of length, and negative one unit of time.
Community Answer
If linear momentum p, acceleration a, time t, are taken to be fundamen...
[M]=[F]/[a]
=[p]/[a][t]
[M]=p^1*a^-1*t^-1
=[p]/[a][t]
[M]=p^1*a^-1*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
|
|
Similar Class 11 Doubts
Top Courses for Class 11View all
If linear momentum p, acceleration a, time t, are taken to be fundamental quantities, then dimensional formula of mass is?
Question Description
If linear momentum p, acceleration a, time t, are taken to be fundamental quantities, then dimensional formula of mass is? 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 If linear momentum p, acceleration a, time t, are taken to be fundamental quantities, then dimensional formula of mass is? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If linear momentum p, acceleration a, time t, are taken to be fundamental quantities, then dimensional formula of mass is?.
If linear momentum p, acceleration a, time t, are taken to be fundamental quantities, then dimensional formula of mass is? 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 If linear momentum p, acceleration a, time t, are taken to be fundamental quantities, then dimensional formula of mass is? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If linear momentum p, acceleration a, time t, are taken to be fundamental quantities, then dimensional formula of mass is?.
Solutions for If linear momentum p, acceleration a, time t, are taken to be fundamental quantities, then dimensional formula of mass is? 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 If linear momentum p, acceleration a, time t, are taken to be fundamental quantities, then dimensional formula of mass is? defined & explained in the simplest way possible. Besides giving the explanation of
If linear momentum p, acceleration a, time t, are taken to be fundamental quantities, then dimensional formula of mass is?, a detailed solution for If linear momentum p, acceleration a, time t, are taken to be fundamental quantities, then dimensional formula of mass is? has been provided alongside types of If linear momentum p, acceleration a, time t, are taken to be fundamental quantities, then dimensional formula of mass is? theory, EduRev gives you an
ample number of questions to practice If linear momentum p, acceleration a, time t, are taken to be fundamental quantities, then dimensional formula of mass is? tests, examples and also practice Class 11 tests.
|
|
Explore Courses for Class 11 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