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Q.

A physical quantity A is related to four observable a, b, c and d as A = a2b3cd. The percentage errors of measurement in a, b, c and d are 1%, 3%, 2% and 2% respectively. What is the percentage error in the quantity A ?

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a

12%

b

7%

c

5%

d

14%

answer is D.

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Detailed Solution

Percentage error in A= (2×1+3×3+1×2+12×2)% = 14%

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A physical quantity A is related to four observable a, b, c and d as A = a2b3cd. The percentage errors of measurement in a, b, c and d are 1%, 3%, 2% and 2% respectively. What is the percentage error in the quantity A ?