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Q.

A physical quantity A is related to four observables a, b. c and d as follows 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

A=a2b3cd⇒∆AA=2∆aa+3∆bb+∆cc+12∆dd= 2(1) + 3(3) + 2 + 12 (2)= 14%
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