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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
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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.
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.
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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
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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.
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.
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