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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+c" "gamma`

B

`a" "alpha+b" "beta-c" "gamma`

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)]`
Maximum % error in `X=a" "alpha+b" "beta+c" "gamma`
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