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Q.

An experiment measures quantities x, y, z and then t is calculated from the data as t = xy2z3. If percentage erorrs in x, y and z are respectively 1%, 3%, 2% , then percentage error in t is

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a

10%

b

4%

c

7%

d

13%

answer is D.

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Detailed Solution

∆xx = 1% = 10-2∆yy = 3% = 3×10-2∆zz = 2% = 2×10-2       ⇒t = xy2z3∆tt = ∆xx+2∆yy+3∆zz= 10-2+2×3×10-2+3×2×10-2= 13 × 10-2 = 13%
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