Which of the following is dimensionally incorrect?
$u^2=2 a(g t-1)$
$s-u t=\frac{1}{2} a t^2$
$u=v-a t$
$v^2-u^2=2 a s$
(a)
The force $F$ is given in terms of time $t$ and displacement $x$ by the equation $F = A\,cos\,Bx + C\,sin\,Dt.$ The dimensional formulae of $D/B$ is
If $R$ and $L$ represent respectively resistance and self inductance, which of the following combinations has the dimensions of frequency
Planck's constant $h$, speed of light $c$ and gravitational constant $G$ are used to form a unit of length $L$ and a unit of mass $M$. Then the correct option$(s)$ is(are)
$(A)$ $M \propto \sqrt{ c }$ $(B)$ $M \propto \sqrt{ G }$ $(C)$ $L \propto \sqrt{ h }$ $(D)$ $L \propto \sqrt{G}$
If we use permittivity $ \varepsilon $, resistance $R$, gravitational constant $G$ and voltage $V$ as fundamental physical quantities, then
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