Dimensional analysis ? Write limitation of dimensional analysis.

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1.Units, Dimensions and Measurement

easy

What is dimensional analysis ? Write limitation of dimensional analysis.

Option A

Option B

Option C

Option D

Solution

$(1)$ In the dimensional equations containing $\mathrm{M}, \mathrm{L}$ and $\mathrm{T}$, we get at the best only three equations by equating the indices of $\mathrm{M}, \mathrm{L}$ and $\mathrm{T}$. Hence this method is of no avil in deducting the exact form of a physical relation which happens to depend upon more than three quantities.

$(2)$ The information about dimensionless constant cannot be obtained.

$(3)$ The equations containing exponential trigonometric functions lie quite outside the preview of this method.

$(4)$ This method is of no use if a constant of proportionally is not dimensionless.

Standard 11

Physics

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medium

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hard

(JEE MAIN-2023)

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easy

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hard

(IIT-2004)

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