Question
Which of the following is NOT dimensionless?
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SSC Selection Post 2020 Graduation Level Question Paper (14 Dec, 2020) (Shift 3)
The correct answer is
Specific resistance
The correct answer is Specific resistance.
Scaling and Modeling: It is used in scaling and modeling experiments, where the results of a small-scale model are used to predict the behavior of a larger system. While dimensional consistency is necessary for a physical equation to be correct, it is not sufficient. A dimensionally consistent equation might still be incorrect due to missing dimensionless constants or incorrect functional relationships. However, checking dimensions is a quick way to spot errors.
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Important Questions from Dimensional formulae and dimensional equations
LT-2 is the dimension of which of the following quantities?
- Considering the Lorentz force $\vec{F} = q(\vec{v} \times \vec{B})$, where $F$ is force, $q$ is electric charge, and $v$ is velocity, what is the dimensional formula for magnetic flux density $B$?
- The characteristic impedance of free space, $Z_0$, is given by the expression $Z_0 = \sqrt{\frac{\mu_0}{\epsilon_0}}$. If $\mu_0$ represents the magnetic permeability and $\epsilon_0$ represents the electric permittivity, what are the dimensions of $Z_0$?
If \(x = a^3 + bt + ct^2\), where \(x\) is metres and \(t\) in seconds, then the unit of \(a\) is
- The dimensional formula of speed
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