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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

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

B

`(alpha a - beta b+ gamma c) % `

C

`(alpha a - beta b - gamma c ) % `

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
`(Delta X)/(X) xx 100 = a (Delta M)/(M) % + b (Delta L )/(L) % + c (Delta T)/(T) %`
`" "=a alpha % + b beta %+ cgamma % `
`(Delta X)/(X) xx 100 = (a alpha + b beta + c gamma) %`
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