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A physical quantity Q is related to four observables a, b, c, d as follows : Q = ab ^4 ~cd where, a =(60 3) Pa ; b =(20 0.1) m ; c =(40 0.2) Nsm ⁻² and d =(50 0.1) m , then the percentage error in Q is x 1000 , where x= ________ .

Correct answer

0

Step-by-step solution

aligned & Q = ab ^4 ~cd & Q Q 100= [ a a +4 ~b ~b + c c + d d ] 100 & x 1000 = [ 3 60 +4 ( 0.1 20 )+ ( 0.2 40 )+ 0.1 50 ] 100 & x =7700 aligned

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