Question

A physical quantity P is related to four observables a, b, c, and d as P = a^ 3 b ^2/ √cd .The percentage errors in measurements of a, b, c, and d are 1%, 3%, 2%, and 3% respectively. What is the percentage error in the measurement of P?

Answer 1

Answer:

3x1 +2x3 + ½ x 4 + 2

= 3 + 6 +2 + 2

= 13 %

Percentage error in P = 13 %

Value of P is given as 3.763.

By rounding off the given value to the first decimal place, we get P = 3.8.