A physical quantity Q is found to depend on quantities a ,b ,c by the relation Q= a^4b^3c^2. The percentage error in a ,b and c are 3 \% ,4 \% and 5 \% respectively. Then, the percentage error in Q i…

Question

A physical quantity Q is found to depend on quantities a ,b ,c by the relation Q= a^4b^3c^2. The percentage error in a ,b and c are 3 \% ,4 \% and 5 \% respectively. Then, the percentage error in Q is :

Accepted Answer

Correct answer: C. (c) Q= a^4b^3c^2 QQ=4 aa+3 bb+2 cc QQ 100=4( aa 100)+3( bb 100)+2( cc 100) \% error inQ=4 3 \%+3 4 \%+2 5 \% =12 \%+12 \%+10 \% =34 \%

$A physical quantity Q is found to depend on quantities a, b, c by the relation Q = \frac{a ^{4} b ^{3}}{c ^{2}} . The percentage error in a, b and c are 3 %, 4 % and 5 % respectively. Then, the percentage error in Q is :$

Solution

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