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A physical quantity is given by X=[M^(a)...

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, gamma` respectively. Then the maximum % error in the quantity `X` is

A

`a alpha+b beta+c gamma`

B

`a alpha+b beta-c gamma`

C

`a/(alpha)+b/(beta)+c/(gamma)`

D

None of the above

Text Solution

Verified by Experts

(a) `X=[M^(a)L^(b)T^(c)]`
Maximum percentage error `=a alpha +b beta + cgamma`
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