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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)+(2)/(gamma)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
`"Percentage error in X"=a alpha+b beta+c gamma`
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DISHA PUBLICATION-PHYSICAL WORLD, UNITS AND MEASUREMENTS-Exercise - 1 : Concept Builder (Topicwise)(Topic 2 : Errors in Measurements and Significant Figures)
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