Assertion (A) : Physical relations involving | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Dimensional analysis is a powerful tool for checking the consistency of equations,but it has significant limitations.$1$. It cannot derive formula

Vedclass · Accepted Answer

Both Assertion $\&$ Reason are true and the reason is not correct explanation of the assertion

Vedclass · Answer

(B) Dimensional analysis is a powerful tool for checking the consistency of equations,but it has significant limitations.$1$. It cannot derive formulas containing additive or subtractive terms (e.g.,$s = ut + \frac{1}{2}at^2$) because dimensional analysis only deals with products and quotients of physical quantities.$2$. It cannot determine dimensionless constants (like $1, 2, \pi, e$,etc.) because these constants have no dimensions and thus do not appear in the dimensional formula.Both statements are true. The reason explains why dimensional analysis is limited,but the inability to derive additive relations is a specific consequence of the method's structure,not directly caused by the inability to find constants. Therefore,the reason is a true statement but not the direct explanation for the assertion.

Assertion $(A) :$ Physical relations involving addition and subtraction cannot be derived by dimensional analysis.
Reason $(R) :$ Numerical constants cannot be deduced by the method of dimensions.

Similar Questions

Given that $K =$ energy,$V =$ velocity,$T =$ time. If they are chosen as the fundamental units,then what is the dimensional formula for surface tension?

$A$ force $F$ is given by $F = at + bt^2$,where $t$ is time. What are the dimensions of $a$ and $b$?

Which of the following is dimensionally incorrect?

The position of a body with acceleration '$a$' is given by $x = K{a^m}{t^n}$,where $t$ is time. Find the dimensions of $m$ and $n$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Assertion $(A) :$ Physical relations involving addition and subtraction cannot be derived by dimensional analysis.Reason $(R) :$ Numerical constants cannot be deduced by the method of dimensions.