A physical quantity P is described by the relation P= a^1/2 b^2 c^3 d^-4 . If the relative error in the measurement of a,b,c and d respectively are 2% , 1%, 3%, 5% then the relative error in P will be? (a) 8% (b) 12% (c) 32% (d) 25%
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Answer:
ans. c)32%
Explanation:
ΔP/P*100=(1/2*Δa/a*100)+(2Δb/b*100)+(3Δc/c*100)+(4Δd/d*100)
=(1/2*2+2*1+3*3+4*5)%
=32%(ans.)
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