1.

If a physical quantity X is represented by X=M^(a)L^(b)T^(-c) and the % error in M,L and T are alpha%, beta% and gamma% resperctively, then total % error in X is :

Answer»

`(alphaa+betab-gammac)%`
`(alphaa+betab+gammac)%`
`(alphaa-betab-gammac)%`
None of the above

Solution :`X=M^(a)L^(B)T^(-C)`
`:. (DeltaX)/(X)xx100`
`=a((DeltaM)/(M)xx100)+b((DeltaL)/(L)xx100)+c((DeltaT)/(T)xx100)`
`=(alphaa+betab+gammac)%` So the correct CHOICE is `(b)`.


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