CBSE
If force (F), velocity (v) and time (T) are taken as fundamental units, then the dimensions of mass are
[FvT-1]
[FvT-2]
[Fv-1T-1]
[Fv-1T-1]
The dimensions of are
[L1/2 T-1/2]
[L-1T]
[LT-1]
[LT-1]
The dimensions of are
[L-1T]
[LT-]
[L-1/2 T1/2]
[L-1/2 T1/2]
If energy (E), velocity (v) and time (T) are chosen as the fundamental quantities, the dimensional formula of surface tension will be
[Ev-2T-1]
[Ev-1T-2]
[Ev-2T-2]
[Ev-2T-2]
In an experiment, four quantities a,b, c and d are measured with percentage error 1%, 2%, 3% and 4% respectively. Quantity P is calculated as follows:
P = , error in P is
14 %
10 %
7 %
7 %
The dimension of , is permittivity of free space and E is electric field is
[ML2T-2]
[ML-1T-3]
[ML2T-1]
[ML2T-1]
The cylindrical tube of a spray pump has radius R, one end of which has n fine holes, each of radius r. if the speed of the liquid in the tube is v, the speed of the ejection of the liquid through the holes is
vR2/n2r2
vR2/nr2
vR2/n3r2
vR2/n3r2
If the dimensions of a physical quantity are given by Ma Lb Tc, the physical quantity will be
pressure if a = 1, b = -1, c= 2
velocity if a = 1, b = 1, c = -2
acceleration if a = 1, b = 1, c =-2
acceleration if a = 1, b = 1, c =-2
If the error in the measurement of radius of sphere is 2%, then the error in the determination of volume of the sphere will be
4%
6%
8%
8%
The density of material in CGS system of units is 4g/ cm2.In a system of units in which unit of lengths is 10 cm and unit of mass is 100 g, the value of density of material will be
0.4
40
400
400