The measurement is the foundation of the experimental science and
technology. The result of every measurement by any measuring
instrument contains some uncertainty. This uncertainty is called
error. Every calculated quantity which is based on measured value
also has an error. We shall distinguish between two terms accuracy
and precision. The accuracy in measurement is a measure of how
close the measured value is to the true value of the quantity.
Precision tell us to what resolution of limit the quantity is measured.
The accuracy in measurement may depend on several factors
including the limit of resolution of the measuring instrument. Thus
every measurement can be broadly classified as (i) systemic errors
and (ii) random errors.
i. Instrumental error is an example of
a. Systematic error
b. Random error
c. Least count error
d. None of above
ii. We measure the period of oscillation of a simple pendulum.
The readings are 2.63s, 2.56s, 2.42s and 2.71s. the
percentage error in measurement is
a. 10%
b. 4%
c. 6%
d. 11%
iii. The error in the measurement of radius is 0.1%
What is the error in the measurement of its volume?
a. 0.2%
b. 0.3%
c. 0.4%
d. 0.6%
iv. The true value of a certain length is 4.468m. different
students measured value with different instruments are
4.3m, 4.234 m and 4.39 m. The most precise measurement
is
a. 4.3 m
b. 4.234m
c. 4.39 m
d. None of above
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Measurement is the foundation of all experimental science and technology. The result of every measurement by any measuring instrument contains some uncertainty. This uncertainty is called error.
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