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{:(,"A.","Spring constant",1.,["M"^(1)"L...

`{:(,"A.","Spring constant",1.,["M"^(1)"L"^(2)"T"^(-2)]),(,"B.","Pascal",2.,["M"^(0)"L"^(0)"T"^(-1)]),(,"C","Hertz",3.,["M"^(1)"L"^(0)"T"^(-2)]),(,"D.","Joule",4.,["M"^(1)"L"^(-1)"T"^(-2)]):}`

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Match the following: {:(," ""Column-I",," ""Column-II"),((a),F = A sin(B t) + (1)/(C ln (Dx)) "For above equation to be dimensionally correct",(p),[A] = [M^(1)L^(1)T^(-1)]","[B] = [M^(0)L^(0)T^(-1)]","[C] = [M^(0)L^(0)T^(-1)]),((b) ,"Pressure" = P + (1)/(2)rhov^(2) + gX ,(q),[A] = [M^(0)L^(1)T^(-1)]"," [B] = [M^(0)L^(0)T^(-1)]","[C] = [M^(0)L^(0)T^(-1)]","),((c),X = At+(v)/(B ln(Cr)),(r),[A] = [M^(1)L^(1)T^(-2)]","[B] = [M^(0)L^(0)T^(-1)]","[C] = [M^(-1)L^(0)T^(1)]),(,,(s),"Dimensionally incorrect""):} (Where F = force, P = pressure, rho = density, t = time, v = velocity, a = acceleration, X = displacement)

The expression [M^(1)L^(2)T^(-2)] represents

Dimensions of epsilon_(0) are M^(-1)L^(-3)T^(4)A^(2) M^(0)L^(-3)T^(3)A^(3) M^(-1)L^(-3)T^(3)A M^(-1)L^(-3)TA^(2)

Dimension of sqrt((in_(0))/(mu_(0))) are (A) [M L^(2) T^(-3) A^(-2)] (B) [M^(-1) L^(-2) T^(3) A^(2)] (C) [M^(2)L^(2)T^(-3) A^(2)] (D) [M^(-1) L^(2) T^(3) A^(2)]

[L^(-1)M^(1)T^(-2)] are the dimensions of

[M^1 L^2 T^(-2)] is dimensional formula of

If E and G respectively denote energy and gravitational constant,then (E)/(G) has the dimensions of: (1) [M^(2)][L^(-2)][T^(-1)] (2) [M^(2)][L^(-1)][T^(0)] (3) [M][L^(-1)][T^(0)] (4) [M][L^(0)][T^(0)]

The dimensional formula M^(0)L^(2)T^(-2) stands for