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Grade 11General Physics

A physical quantity p is related to four observable a, b, c as p= a^3 b^2/√cd. The % error in the measurement of a, b, c and 1%` 3%, 4%, 2% are respectively. a). What do you mean by error in a measurement? b). What is the % error in the measurement of P?

Profile image of Sujal
8 Years agoGrade 11
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1 Answer

Profile image of Arun
8 Years ago
P = a3 b2 / \sqrtcd
dP/ P = 3 da/a + 2 db/b + 1/2 dc/c +1/2 dd/d
When taking percentage
= 3*1 + 2*4 + 1/2 *2 + 1/2* 2
= 3 +8 + 1 +1
= 13%