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Q.

A physical quantity is represented by X=MαLbTc. 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

(αaβbγc)%

c

0%

answer is B.

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Detailed Solution

X=MaLbTc

  ΔXX=±[αΔMM+bΔLL+cΔTT]

=±[aα+βb+γc]%

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