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

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 maximum percentage error in the quantity `X` is

A

`a alpha +b beta +cgamma`

B

`a alpha +b beta -cgamma`

C

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

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
`X=M^a L^b T^c`
`implies ((Deltax)/(x))xx100 = (a(Deltam)/m+b(DeltaL)/L+c(DeltaT)/T)xx100`
`=(a alpha + b beta + c gamma)%`
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