A physical quantity P is related to four observables a,b,c and d as follows ; P = a2b3/ c4 √d - Physics - Units And Measurements

Question

A physical quantity P is related to four observables a,b,c and d
as follows ; P = a2b3/ c4 √d
The percentage errors in a,b,c and d are 2%, 4% ,3% and
2% respectively What is the percentage error in the quantity P

Neha Sarin · Accepted Answer

We have,

P = a2 b3/c4
âˆšd

Î”P/P = Â± [ 2 Î”a/a +
3Î”b/b + 4Î”c/c + Â½
Î”d/d]

Î”P/P x 100% = Â± [ 2x2% + 3x4% +4x3% +
Â½ x 2%]

= Â± 29%

Total error is Â± 29%

A physical quantity P is related to four observables a,b,c and d as follows ; P = a2b3/ c4 √d. The percentage errors in a,b,c and d are 2%, 4% ,3% and2% respectively. What is the percentage error in the quantity P .

A physical quantity P is related to four observables a,b,c and d as follows ; P = a²b³/ c⁴ √d. The percentage errors in a,b,c and d are 2%, 4% ,3% and
2% respectively. What is the percentage error in the quantity P .