A physical quantity C is related to four other quantities p , q , r and s as follows C = pq ^2 r ^3 ~s The percentage errors in the measurement of p , q , r and s are 1 %, 2 % 3 % and 2 % respectively. The percentage error in the measuremen

Question

A physical quantity C is related to four other quantities p , q , r and s as follows C = pq ^2 r ^3 ~s The percentage errors in the measurement of p , q , r and s are 1 %, 2 % 3 % and 2 % respectively. The percentage error in the measurement of C will be _____ % .

Quantrex Academy · Accepted Answer

Correct answer: 0

C = P ^1 q ^2 r ⁻³ ~s ^ 1 / 2 ( dC C )_ = dP P + 2 dq q + 3 dr r + 1 2 ds s aligned & = (1+2 2+3 3+ 1 2 2 ) % & =15 % aligned Ans. 15

A physical quantity C is related to four other quantities p , q , r and s as follows C = pq ^2 r ^3 ~s The percentage errors in the measurement of p , q , r and s are 1 %, 2 % 3 % and 2 % respectively. The percentage error in the measurement of C will be _____ % .

Correct answer

Step-by-step solution

More from Mathematics in Physics