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A physical quantity Q is related to four observables x, y, z and t by the relation Q=x2/5z3yt .The percentage errors of measurement in x, y, z and t are 2.5%, 2%, 0.5%, and 1% respectively. What will be percentage error in Q.

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answer is 0008.00.

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Detailed Solution

Given relation Q=x25z3ytΔQQ=25Δxx+3Δzz+Δyy+12Δtt=25×2.5+3×2+0.5+12×1=1+6+0.5+0.5=0008.00

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A physical quantity Q is related to four observables x, y, z and t by the relation Q=x2/5z3yt .The percentage errors of measurement in x, y, z and t are 2.5%, 2%, 0.5%, and 1% respectively. What will be percentage error in Q.