Which one of the following is dimensionless physical quantity?
Angle
Stress
Force gradient
Velocity gradient
Which of the following does not have dimensions of force?
With the usual notations, the following equation ${S_t} = u + \frac{1}{2}a(2t - 1)$ is
In the equation $y = pq$ $tan\,(qt)$, $y$ represents position, $p$ and $q$ are unknown physical quantities and $t$ is time. Dimensional formula of $p$ is
The equation of a circle is given by $x^2+y^2=a^2$, where $a$ is the radius. If the equation is modified to change the origin other than $(0,0)$, then find out the correct dimensions of $A$ and $B$ in a new equation: $(x-A t)^2+\left(y-\frac{t}{B}\right)^2=a^2$.The dimensions of $t$ is given as $\left[ T ^{-1}\right]$.
Which of the following relation cannot be deduced using dimensional analysis? [the symbols have their usual meanings]