Question

A physical quantity S= a^3 b^1/2. The percentage error in the measurement of a and b are 1% and 4% respectively. What is the percentage error in the quantity S.

Answer 1

Answer:

Here, d1=2.620,d2=2.625,d3=2.628,d4=2.626

Mean of the diameter, d=42.620+2.625+2.628+2.626=2.625

So, Δd1=d1−d=2.620−2.625=−0.005

      Δd2=d2−d=2.625−2.625=0

      Δd3=d3−d=2.628−2.625=0.003

      Δd4=d4−d=2.626−2.625=0.001

Thus, mean absolute error =4∣Δd1∣+∣Δd2∣+∣Δd3∣+∣Δd4∣=40.005+0