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If a physical quantity X is represented ...

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 :

A

`(alphaa+betab-gammac)%`

B

`(alphaa+betab+gammac)%`

C

`(alphaa-betab-gammac)%`

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
B
`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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