The dimensions of $K$ in the equation $W = \frac{1}{2}\,\,K{x^2}$ is
${M^1}{L^0}{T^{ - 2}}$
${M^0}{L^1}{T^{ - 1}}$
${M^1}{L^1}{T^{ - 2}}$
${M^1}{L^0}{T^{ - 1}}$
If orbital velocity of planet is given by $v = {G^a}{M^b}{R^c}$, then
The formula $X = 5YZ^2$, $X$ and $Z$ have dimensions of capacitance and magnetic field respectively. What are the dimensions of $Y$ in $SI$ units?
The potential energy of a particle varies with distance $x$ from a fixed origin as $U\, = \,\frac{{A\sqrt x }}{{{x^2} + B}}$ Where $A$ and $B$ are dimensional constants then find the dimensional formula for $A/B$
If the formula, $X=3 Y Z^{2}, X$ and $Z$ have dimensions of capacitance and magnetic induction. The dimensions of $Y$ in $M K S Q$ system are
Given that $v$ is the speed, $r$ is radius and $g$ is acceleration due to gravity. Which of the following is dimensionless?