Question

if a physical quantity is represented by X=Ma Lb T-c and the percentage errors in M,L,and T are alpha percent, bete percent and gamma percent respectively, then total percentage error in X is?​

Answer 1

Answer:

aα+bβ+cγ is the total percentage error

Step-by-step explanation:

$\frac{delta \: x}{x} \times 100 = \frac{a \times delta \: m}{m} \times 100 + \frac{b \times delta \: l}{l} \times100 + \frac{c \times delta \: t}{t} \times 100$

$x\% = a \times m\% + b\times l\% + c\times t \%$

where x% is the percentage error in x,

m% is the percentage error in m=α,

l% is the percentage error in l=β,

t% is the percentage error in t=γ,

$x\% = a \alpha + b \beta + c\gamma$

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