If Force `=(x)/(Area)+y`, is dimensionally correct, the dimensions of `[xy]` are

(1) `[M^(2)L^(4)T^(-4)]`
(2) `[ML^(3)T^(-4)]`
(3) `[ML^(2)T^(-2)]`
(4) `[M^(0)L^(3)T^(-4)]`

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)

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)]

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)]

ML^(3) T^(-1) Q^(-2) is dimension of

The physical quanitity the dimensions [M^(-2)L^(-3)T^(0)A^(2)] is

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

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

Name the quantites represented by the dimensional formula [M^1 L^2 T^(-1)] , [M^1 L^2 T^(-2)][M^1 L^(-3) T^0].

SI Unit of physical quantity whose dimensional formula is M^(-1) L^(-2) T^(4) A^(2) is

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)