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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 ?

Simran Bhatia , 12 Years ago

Grade 11

2 Answers

Kevin Nash

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.

Last Activity: 12 Years ago

Yash Chourasiya

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.

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

Last Activity: 5 Years ago

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