NEET Exam  >  NEET Questions  >  Acceleration a,velocity v,and displacement x,... Start Learning for Free
Acceleration a,velocity v,and displacement x,are related according to equation a=v/A+x/B . dimension of time in dimensional formula of AB is(where A and B are constants)?a.1b.-2c.+2d.+3
Most Upvoted Answer
Acceleration a,velocity v,and displacement x,are related according to ...
We know that dimensions on both side should be same.Since a = v/t = x /t2 where A= t and B= t2So t = A or B/A
Community Answer
Acceleration a,velocity v,and displacement x,are related according to ...
Solution:

Given, a = v/AB x

Let's find the dimensional formula of AB in terms of acceleration, velocity, and displacement.

Dimensional formula of acceleration (a) = [M^0L^1T^-2]

Dimensional formula of velocity (v) = [M^0L^1T^-1]

Dimensional formula of displacement (x) = [M^0L^1T^0]

Substituting the above values in the given equation, we get:

[M^0L^1T^-2] = [M^0L^1T^-1] / [AB] * [M^0L^1T^0]

Simplifying the above equation, we get:

[T^-2] = [T^-1] / [AB]

AB = [T^-1] / [T^-2]

AB = T

Therefore, the dimension of time in the dimensional formula of AB is 1.

Hence, the correct option is (a) 1.

Explanation:

To solve this problem, we need to use the concept of dimensional analysis. In dimensional analysis, we equate the dimensions of the given physical quantities and try to find the dimensions of the unknown quantity. Here, we are given the relation between acceleration, velocity, displacement, and AB. We need to find the dimensions of AB.

We start by writing the dimensional formula of acceleration, velocity, and displacement. Then, we substitute these values in the given equation and simplify it to get the dimensional formula of AB. Finally, we identify the dimensions of AB, which is the dimension of time in this case.
Attention NEET Students!
To make sure you are not studying endlessly, EduRev has designed NEET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in NEET.
Explore Courses for NEET exam

Top Courses for NEET

Acceleration a,velocity v,and displacement x,are related according to equation a=v/A+x/B . dimension of time in dimensional formula of AB is(where A and B are constants)?a.1b.-2c.+2d.+3
Question Description
Acceleration a,velocity v,and displacement x,are related according to equation a=v/A+x/B . dimension of time in dimensional formula of AB is(where A and B are constants)?a.1b.-2c.+2d.+3 for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Acceleration a,velocity v,and displacement x,are related according to equation a=v/A+x/B . dimension of time in dimensional formula of AB is(where A and B are constants)?a.1b.-2c.+2d.+3 covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Acceleration a,velocity v,and displacement x,are related according to equation a=v/A+x/B . dimension of time in dimensional formula of AB is(where A and B are constants)?a.1b.-2c.+2d.+3.
Solutions for Acceleration a,velocity v,and displacement x,are related according to equation a=v/A+x/B . dimension of time in dimensional formula of AB is(where A and B are constants)?a.1b.-2c.+2d.+3 in English & in Hindi are available as part of our courses for NEET. Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free.
Here you can find the meaning of Acceleration a,velocity v,and displacement x,are related according to equation a=v/A+x/B . dimension of time in dimensional formula of AB is(where A and B are constants)?a.1b.-2c.+2d.+3 defined & explained in the simplest way possible. Besides giving the explanation of Acceleration a,velocity v,and displacement x,are related according to equation a=v/A+x/B . dimension of time in dimensional formula of AB is(where A and B are constants)?a.1b.-2c.+2d.+3, a detailed solution for Acceleration a,velocity v,and displacement x,are related according to equation a=v/A+x/B . dimension of time in dimensional formula of AB is(where A and B are constants)?a.1b.-2c.+2d.+3 has been provided alongside types of Acceleration a,velocity v,and displacement x,are related according to equation a=v/A+x/B . dimension of time in dimensional formula of AB is(where A and B are constants)?a.1b.-2c.+2d.+3 theory, EduRev gives you an ample number of questions to practice Acceleration a,velocity v,and displacement x,are related according to equation a=v/A+x/B . dimension of time in dimensional formula of AB is(where A and B are constants)?a.1b.-2c.+2d.+3 tests, examples and also practice NEET tests.
Explore Courses for NEET exam

Top Courses for NEET

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev