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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

`(alpha +betab+gammac)%`

B

`(alpha-betab+gammac)%`

C

`(alphaa-betab-gammac)%`

D

None of these

Text Solution

Verified by Experts

`(DeltaX)/(X)=a(DeltaM)/(M)+b(DeltaL)/(L)+c(DeltaT)/(T)`
`=a alpha% + b beta%+c gamma%`
`(DeltaX)/(X)=(a alpha+b beta+c gamma)%`
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