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An experiment measures quantities a, b, ...

An experiment measures quantities `a`, `b`, `c` and `x` the value of `x` is calculated from `x=ab//c^(3)`. If the maximum percentage error in `a`, `b` and `c` are `1%`, `1%` and `2%` respectively, then

A

the error in `x` may be zero

B

for any particular reading, error in `x` may `10%`

C

maximum percentage error in `x` is `-4%`

D

maximum percentage error in `x` is `8%`

Text Solution

AI Generated Solution

To solve the problem, we need to find the maximum percentage error in the quantity \( x \) calculated from the formula: \[ x = \frac{ab}{c^3} \] Given the maximum percentage errors in \( a \), \( b \), and \( c \) are \( 1\% \), \( 1\% \), and \( 2\% \) respectively, we can use the rules of error propagation to find the maximum percentage error in \( x \). ...
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