If energy (E), velocity (v) and time (T) are chosen as the fundamental quantities, the dimensional formula of surface tension will be
[Ev^{-2}T^{-1}]
[Ev^{-1}T^{-2}]
[Ev^{-2}T^{-2}]
[Ev^{-2}T^{-2}]
If force (F), velocity (v) and time (T) are taken as fundamental units, then the dimensions of mass are
[FvT^{-1}]
[FvT^{-2}]
[Fv^{-1}T^{-1}]
[Fv^{-1}T^{-1}]
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 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
vR^{2}/n^{2}r^{2}
vR^{2}/nr^{2}
vR^{2}/n^{3}r^{2}
vR^{2}/n^{3}r^{2}
The density of material in CGS system of units is 4g/ cm^{2}.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
The dimension of , is permittivity of free space and E is electric field is
[ML^{2}T^{-2}]
[ML^{-1}T^{-3}]
[ML^{2}T^{-1}]
[ML^{2}T^{-1}]
If the dimensions of a physical quantity are given by M^{a} L^{b} T^{c}, 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%