Match List$-I$ with List$-II.$
List$-I$ | List$-II$ |
$(a)$ Torque | $(i)$ ${MLT}^{-1}$ |
$(b)$ Impulse | $(ii)$ ${MT}^{-2}$ |
$(c)$ Tension | $(iii)$ ${ML}^{2} {T}^{-2}$ |
$(d)$ Surface Tension | $(iv)$ ${MI} {T}^{-2}$ |
Choose the most appropriate answer from the option given below :
$(a)-(iii), (b) -(i), (c)-(iv), (d)-(ii)$
$(a)-(ii), (b)-(i), (c)-(iv), (d)-(iii)$
$(a)-(i), (b)-(iii), (c)-(iv), (d)-(ii)$
$(a)-(iii), (b)-(iv), (c)-(i), (d)-(ii)$
The dimensional formula for Boltzmann's constant is
If $A$ and $B$ are two physical quantities having different dimensions then which of the following can't denote a physical quantity?
Given below are two statements: One is labelled as Assertion $A$ and the other is labelled as Reason $R$.
Assertion $A$ : Product of Pressure $(P)$ and time $(t)$ has the same dimension as that of coefficient of viscosity.
Reason $R$ : Coefficient of viscosity $=\frac{\text { Force }}{\text { Velocity gradient }}$
Question : Choose the correct answer from the options given below
Dimensions of $\frac{1}{{{\mu _0}{\varepsilon _0}}}$, where symbols have their usual meaning, are
Which of the following equations is dimensionally incorrect?
Where $t=$ time, $h=$ height, $s=$ surface tension, $\theta=$ angle, $\rho=$ density, $a, r=$ radius, $g=$ acceleration due to gravity, ${v}=$ volume, ${p}=$ pressure, ${W}=$ work done, $\Gamma=$ torque, $\varepsilon=$ permittivity, ${E}=$ electric field, ${J}=$ current density, ${L}=$ length.