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 %
A.
14 %
Here, P =
Therefore,
=
=
= 3 x1 + 2 x 2 + 3 +4
= 3 + 4 + 3 + 4
= 14 %
The dimensions of are
[L-1T]
[LT-]
[L-1/2 T1/2]
[L-1/2 T1/2]
B.
[LT-]
This expression for speed of light and the dimensions of speed of light are [LT-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
B.
vR2/nr2
During the streamline of viscous and incompressible fluid through a pipe varying cross -section, the product of the area of cross section and normal fluid velocity (Av) remains constant throughout the flow.
Consider a cylindrical tube of a spray pump has radius R, one end having n fine holes, each of radius r and speed of liquid in the tube is v as shown in the figure.