In an experiment, quantities a, b and c are measured with percentage errors of ±1%, ±3% and ±2% respectively. The quantity Q is calculated using the expression Q=ab2c3. The percentage error in Q is
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a
±13%
b
±1%
c
±7%
d
±4%
answer is A.
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Detailed Solution
Power of a is 1, its contribution to percent error in Q is 1×1% = 1%. Similarly the power of b is 2, its contribution to percent error in Q is 2×3% = 6%. Finally power of C is -3, its contribution to percent error in X is −3 ×2% = 6%. Add all these