Pearson | PTE
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Error in sum and Error in difference of two physical quantities, Error in product and Error in division of two physical quantities are considered the most difficult concepts.
Errors of measurements, Error in quantity raised to some power are considered the most asked concepts.
48 Questions around this concept.
The magnitude of difference between the true value and measured value of quantity is called
The value of absolute error of first measurement in a measured value a1,a2..............am is equal to
[am is the true value]
The ratio of mean absolute error to the mean value of the quantity measured is called:
The unit of percentage error is :
For a measurement of the radius of a ball following readings are taken:
3.26cm 3.28cm 3.31cm
absolute error for the first reading is :
For the measurement of the cylinder following readings are taken :
1.52cm 1.50cm 1.51cm 1.48cm
mean absolute error for the measurement is :
The value of the two resistor are
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Two roads of length
If the length of the stick
If the mass of box
It is the magnitude of the difference between the true value and the measured value of the quantity.
It may be positive in certain cases and negative in certain other cases
If
where am = true value
then
1)Absolute Error for nth reading
2) Mean absolute error
3) Relative error or Fractional error
The ratio of mean absolute error to the mean value of the quantity measured.
Relative error
4) Percentage error
1)Error in sum (x=a+b)
Error in sum (x=a+b):-
absolute error in
where
The percentage error in the value of x
=
2) Error in difference (x=a-b)
absolute error in
Percentage error in the value of
1) Error in product x=a.b
maximum fractional error
where
The percentage error in the value of x=
=(% error in value of a + % error in value of b)
2) Error in division x = a/b
maximum fractional error in
The percentage error in the value of
=(% error in value of a + % error in value of b)
when
- The maximum fractional error in
- Percentage error in the value of
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