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A physcial quantity X is related to fou...

A physcial quantity X is related to four measurable quantites a, b, c and d as follows : `X = a^2 b^3 c^(5//2) d^(-2)` The percentage error in the measurement of a, b, c and d are 1% , 2%, 3% and 4%, respectively. What is the percentage error in quantity X ? if the value of X calculated on the basis of the above relation is 2.763, to what value should you round off the result ?

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To solve the problem step by step, we will calculate the percentage error in the physical quantity \( X \) based on the given formula and the percentage errors in the measurable quantities \( a, b, c, \) and \( d \). ### Step 1: Write down the formula for \( X \) The physical quantity \( X \) is given by the relation: \[ X = a^2 b^3 c^{5/2} d^{-2} \] ...
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