APPENDIX SOLVED EXAMPLE UNIT- - - - - Appendix = . % + . % = . % .
Using a Vernier Callipers, the length of a cylinder in different measurements is found to be . cm, . cm, . cm, .
Find the mean value, absolute error, the relative error and the percentage error of the cylinder. Solution: The given readings are . cm, . cm, .
cm The Mean value l = = . cm Absolute errors in the measurement are, D D D D l l l l D D D l l l Mean Absolute error l mean = . relation Q = x y z . The percentage errors in x, y and z are %, % and % respectively.
Find the percentage error in Q. Solution: Let, Q = x y z It is given, x x % y y % z z % Q Q x y z z = ( %) + ( %) + ( %) Q Q % + % + % = % . The mass and volume of a body are found to be ± . kg and ± .
m respectively. Then find the maximum possible percentage error in density. Solution: Mass m = ± . kg (m + D m) Volume V = ± .
m (V + D V) Density = ? Error in mass = × ∆ m