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Errors Of Measurements MCQ - Practice Questions with Answers
Edited By admin | Updated on Sep 25, 2023 25:23 PM | #NEET
Quick Facts
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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.
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Errors of measurements, Error in quantity raised to some power are considered the most asked concepts.
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47 Questions around this concept.
Solve by difficulty
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:
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The unit of percentage error is :
The value of the two resistor are $R_1=(6 \pm 0.3) K \Omega$ and $R_2=(10 \pm 0.2) K \Omega$.The maximum absolute error in equivalent resistance when they are connected in series will be:
Two roads of length $(3.161 \pm 0.3) \mathrm{cm}$ and $(1.121 \pm 0.1) \mathrm{cm}$. What is the percentage error in the measurement of their difference :
The resistance $R=\frac{V}{I}$ where $V=(100 \pm 3)$ volts ${\text {and }} I=(10 \pm 0.3) A$. What is the total error in the R?
In an experiment, four quantities, $a, b, c$, and $d$, are measured with percentage errors of $1 \%, 2 \%, 3 \%$, and $4 \%$, respectively. Quantity P is calculated as follows: $\mathrm{P}=\frac{a^3 b^2}{c d} . \%$ error in P is:
Concepts Covered - 4
Errors of measurements
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 are a measured value
then
where am = true value
then
1)Absolute Error for nth reading = = true value - measured value
So =
=
2) Mean absolute error
3) Relative error or Fractional error
The ratio of mean absolute error to the mean value of the quantity measured.
4) Percentage error
%
Error in sum and Error in difference of two physical quantities
1)Error in sum (x=a+b)
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Error in sum (x=a+b):-
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absolute error in x=
where
= absolute error in measurement of a
= absolute error in measurement of b
= absolute error in measurement of x
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The percentage error in the value of x
= %
2) Error in difference (x=a-b)
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absolute error in x=
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Percentage error in the value of x=
%
Error in product and Error in division of two physical quantities
1) Error in product x=a.b
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maximum fractional error=
where
= absolute error in measurement of a
= absolute error in measurement of b
= absolute error in measurement of x
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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
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maximum fractional error in
=
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The percentage error in the value of x=
=
=(% error in value of a + % error in value of b)
Error in quantity raised to some power
when
- The maximum fractional error in x is:-
- Percentage error in the value of x==
Study it with Videos
Errors of measurements
Error in sum and Error in difference of two physical quantities
Error in product and Error in division of two physical quantities
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