Physics

A physical quantity is given by $$X = [M^{a} L^{b}T^{c}]$$. The percentage error in measurement of $$M, L$$ and $$T$$ are $$\alpha, \beta$$ and $$\gamma$$ respectively. Then, the maximum % error in the quantity X is


ANSWER

$$a\alpha + b\beta + c\gamma$$


SOLUTION
$$X = [M^{a} L^{b} T^{c}]$$
Maximum % error in $$X$$
$$= a\alpha + b\beta + c\gamma$$
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Single Correct Medium Published on 18th 08, 2020
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