get 4² B3/2 A physical quantity Q is given by Q = C* D1/2 . The percentage error in A,B,C,D are 1%, 2%, 3%, 4% respectively. What is the percentage error in Q? 13% b) 14% 18% d) 19% a) c)
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A physical quantity Q is given by Q=C4D1/2A2.B3/2. The percentage error in A, B, C, D are 1%,2%,4%,2% respectively. Find the percentage error in Q.
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Correct option is
A
22%
The percentage errors for A,B,C,D are respectively 1%, 2%, 4% and 2%
The formula for Q is, Q=C4D21A2B23
So from the formula of error calculation:
The percentage error in Q=QΔQ×100
QΔQ×100 =2AΔA×100+3/2BΔB×100+4CΔC×100+1/2DΔD×100
=2×1+2
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13,356 the ans 13 pesetagw hehenene
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