Define.
(i) Most probable value. (ii) Absolute error.
(iii) Relative error.
(iv) percentage error.

Define : Relative error

The formula for percentage error is

The radius of a sphere measured repeatedly yields values 5.63 m, 5.54 m, 5.44 m, 5.40 m and 5.35 m. Determine the most probable value of radius and the mean absolute, relative and percentage errors.

In ohm's experiment, the values of unknown resistances were found to be 6.12 Omega , 6.15 Omega , calculate the mean absolute error, relative error and percentage error in these measurements.

In Ohm's experiments, the values of the unknown resistances were found to be 6.12 Omega , 6.09 Omega , 6.22, 6.15 Omega . Calculate the absolute error, relative error and percentage error in these measurements.

The density of a solid ball is to be determined in an experiment. The diameter of the ball is measured with a screw gauge, whose pitch is 0.5mm and there are 50 divisions on the circular scale. The reading on the main scale is 2.5mm and that on circular scale is 20 divisions. if the measured mass of the ball has a relative error of 2% , the relative percentage error in the density is

If x = a^(n) then relative error is (when n is power of a).

The thickness of a glass sheet is measured at six different places and the following readings are obtained : 1.21 mm, 1.24 mm, 1.19 mm, 1.15 mm, 1.22 mm, 1.25 mm. Find the most probable value of the thickness and percentage error in measurement.

Define the terms : (i) projectile (ii) Velocity of projection (iii) Angle of projection (iv) Trajectory of projectile.