JEE 2020 Physics : Unit, Dimensions, and Measurement Quiz: 10.06.2019

Stoke’s law states that the viscous drag force F experienced by a sphere of radius , moving with a speed through a fluid with coefficient of viscosity η, is given by F=6η
If this fluid is flowing through a cylindrical pipe of radius r, length l and a pressure difference of P across its two end, then the volume of water V which flows through the pipe in time t can be written as
= k()^aη^br^c
Where k is a dimensionless constant. Correct values of a, b and c are

From the following combinations of physical constants (expressed through their usual symbols) the only combination, that would have the same value in different systems of units, is:

A screw gauge gives the following reading when used to measure the diameter of a wire.
Main scale reading : 0 mm
Circular scale reading : 52 divisions
Given that 1 mm on main scale corresponds to 100 divisions of the circular scale.
The diameter of wire from the above data is

Two full turns of the circular scale of a screw gauge cover a distance of 1 mm on its main scale. The total number of divisions on the circular scale is 50. Further, it is found that the screw gauge has a zero error of -0.03 mm. While measuring the diameter of a thin wire, a student notes the main scale reading of 3 mm and the number of circular scale divisions in line with the main scale as 35. The diameter of the wire is

A physical quantity P is described by the relation . If the relative errors in the measurement of a, b, c, and d respectively , then the relative error in the P will be:

If the current through a resistor in a circuit increases by 3%, the power dissipated by the resistor