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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 ?
Grade:11

2 Answers

Kevin Nash
askIITians Faculty 332 Points
7 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
askIITians Faculty 256 Points
11 months ago
Dear Student

Given
P = a3b2/√cd​
Maximum fractional error in P is given by
643-1455_Untitled.png

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.

I hope this answer will help you.
Thanks & Regards
Yash Chourasiya

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