A physical quantity C is related to four other quantities 
and 
as follows
The percentage errors in the measurement of 
and s are 
and 
, respectively. The percentage error in the measurement of 
will be ________%
Text Solution
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(15 %)
To determine the percentage error in the measurement of 
, which is related to 
, and 
as:
we first express it in terms of powers:
The percentage error in 
can be calculated using the formula for the propagation of error, which is:
Given the percentage errors for 
, and 
are 
, and 
respectively, we substitute these values into the formula:
Calculating each part:
Contribution from 
Contribution from 
(since 
)
Contribution from 
(since 
)
Contribution from 
: 
(since 
)
Adding these contributions together:
Thus, the maximum percentage error in the measurement of 
is 
.
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