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Q.

A physical quantity is represented by Z=MaLbTc. If percentage errors in the measurements of M, L and T are α%,  β%  and  γ% respectively, then total percentage error is 

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a

(αa+βbγc)%

b

(αa+βb+γc)%

c

(αaβbγc)%

d

0%

answer is B.

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Detailed Solution

Given, X=[MaLbTc]

         ΔXX=±[aΔMM+bΔLL+cΔTT]

=±[αa+βb+γc]%

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