Question

1. A physical quantity P is related to four observables a, b and c as follows: P= (a3b 2 /c4 ) The percentage errors of measurements in a, b and c are 1%, 4% and 2% respectively. What is the percentage error in quantity P?

Answer 1

The percentage error in quantity P is 19%.

Step-by-step explanation:

It is given that,

A physical quantity P is related to four observables a, b and c as follows:

`P=(a^3b^2)/(c^4)`

The percentage errors of measurements in a, b and c are 1%, 4% and 2% respectively.

We need to find the percentage error in quantity P. It is given by :

`(\Delta P)/(P)* 100=(3* (\Delta a)/(a)+2* (\Delta b)/(b)+4* (\Delta c)/(c))\\\\=3* 1+2* 4+4* 2\\\\(\Delta P)/(P)* 100=19\%`

So, the percentage error in quantity P is 19%.