List of top Physics Questions on Dimensional Analysis asked in KEAM

For a given mass m, linear velocity v, linear displacement s, linear acceleration a and time t, the dimensionally INCORRECT expression for power P is
Taking into consideration of significant figures, in the conversion relation \(2.0\ \text{m s}^{-2} = X\ \text{km h}^{-2}\), the value of \(X\) is
Which one of the following physical quantities has dimensions?
In the equation $A = \dfrac{B}{CD^2}$, if $B, C$ and $D$ have the dimensions of inductive reactance, capacitive reactance and angular frequency respectively, then the dimensions of $A$ are:
The physical quantity that doesn’t have appropriate unit is
Time period of a particle is \( T = k\sqrt{\frac{\rho r^3}{\sigma}} \), where \( k \) is a dimensionless constant, \( \rho \) is density, and \( r \) is radius. The dimension of \( \sigma \) is same as
The dimensions for the gravitational constant $G$ are ____.
The dimension of $X$ in the equation $F=6\pi\eta X$ is: (F - Force; $\eta$ - Coefficient of viscosity)
\( [L^0 M^0 T^{-1}] \) is the dimensional formula for
The dimensional formula for the product of moment of inertia and the square of angular velocity is
The dimensions of \( \frac{B}{E} \) are (B: Magnetic induction, E: Electric field intensity)
\( M^0 L T^{-1} \) is the dimension of ___________?
The dimensional formula of product of moment of inertia and square of angular velocity is:
If $ F = 6\pi \eta x $, find the dimension of $ x $.
Dimensions of the physical quantity $X$ in the equation \[ {Force} = \frac{X}{{Volume}} \] are
Kirchhoff’s junction rule is based on conservation of
The number of significant figures in 0.0500L is
In the measurement of length 6 $\mu$m is equal to $x$ pm. Then the value of $x$ is

Choose the INCORRECT dimensions:

If \(\varepsilon_0\) and \(\mu_0\) are respectively the electrical permittivity and magnetic permeability of vacuum, the dimensional formula for \(\dfrac{1}{\sqrt{\mu_0 \varepsilon_0}}\) is
The power in an electrical circuit for a current of \(5 \pm 0.4\text{ A}\) and voltage \(10 \pm 0.2\text{ V}\) is measured at \(10%\) error. To measure the power at \(5%\) error the current should be measured at an error of
The angular diameter of a planet measured from earth is \(90''\). If the diameter of the planet is \(x \times 10^4\) m, then its distance from the earth is
The standard of length is maintained by a 1 meter long bar made up of a material having coefficient of linear expansion \( \alpha = 10^{-5}\,\text{°C}^{-1} \). If the length of the bar were to be preserved to an accuracy of 1 part per million, what would be the maximum allowed temperature variation?
The dimension of mutual inductance is (Denote dimension of current as A)
The dimensions for pressure is: