Questions in Units and Measurements

Select	Question
	The velocity of a freely falling body changes as \[{g^p}{h^q}\] where g is acceleration due to gravity and \[h\] is the height. The values of \[p\] and \[q\] are
	Which one of the following does not have the same dimensions
	Dimensions of frequency are
	Which one has the dimensions different from the remaining three
	A small steel ball of radius \[r\] is allowed to fall under gravity through a column of a viscous liquid of coefficient of viscosity \[\eta \]. After some time the velocity of the ball attains a constant value known as terminal velocity \[{v_T}\]. The terminal velocity depends on (i) the mass of the ball \[m\], (ii) \[\eta \], (iii) \[r\] and (iv) acceleration due to gravity \[g\]. Which of the following relations is dimensionally correct
	The quantity \[X = \frac{{{\varepsilon _0}LV}}{t}\]: \[{\varepsilon _0}\] is the permittivity of free space, \[L\]is length, \[V\] is potential difference and \[t\] is time. The dimensions of \[X\] are same as that of
	\[{\mu _0}\] and \[{\varepsilon _0}\] denote the permeability and permittivity of free space, the dimensions of \[{\mu _0}{\varepsilon _0}\] are
	The expression \[[M{L^2}{T^{ - 2}}]\] represents
	The dimensions of physical quantity \[X\] in the equation Force \[ = \frac{X}{{{\rm{Density}}}}\] is given by
	The dimensions of \[C{V^2}\] matches with the dimensions of