Question

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

`P = (a^3b^2)/(csqrtd)`

The percentage errors of measurement in a, b, с and d are 1 %, 3 %, 2 %, and 4 %, respectively. The percentage error in the quantity P is:

विकल्प

• 10 %

• 2 %

• 13 %

• 15 %

Answer 1

13 %

Explanation:

Given: `P = (a^3b^2)/(csqrtd)`

`(ΔP)/P xx 100 = ((3Δa)/a + (2Δb)/b + (Δc)/c + 1/2 + (Δd)/d) xx 100`

= `3(1 %) + 2(3 %) + 2 % + 1/2 (4 %)`

= (3 + 6 + 2 + 2)%

= 13 %