# A physical quantity P is related to four observables a, b, c and d as follows : P a3b2/ c d The percentage errors of measurement in a, b, c and d are 1%, 3%, 4% and 2%, Respectively. What is the percentage error in the quantity P ? If the value of P calculated using the above relation turns out to be 3.763, to what value should you round off the result ?

##### A physical quantity P is related to four observables a, b, c and d as follows : P a3b2/ c d The percentage errors of measurement in a, b, c and d are 1%, 3%, 4% and 2%, Respectively. What is the percentage error in the quantity P ? If the value of P calculated using the above relation turns out to be 3.763, to what value should you round off the result ?

Kevin Nash
10 years ago

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.

Yash Chourasiya
3 years ago
Dear Student

Given
P = a3b2/√cd​
Maximum fractional error in P is given by

On putting value in above formula, we get
= ±13/100 ​= 0.13
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.