Advertisements
Advertisements
Question
Is it possible to increase the degree of accuracy by mathematical manipulations? Support your answer by an example.
Advertisements
Solution
It is not possible to increase the degree of accuracy by mathematical manipulations.
For example: When a number of values are added or subtracted, the result cannot be more accurate than the least accurate value.
If we add: 5.283
+ 72.5
2.0014
We get 79.78314
In the above addition, 72.5 has the least accuracy. When we say 72.5, it implies that value lies between 72.45 and 72.55 and 72.5 is the most probable value. Thus the error in 72.5 is + 0.05. As the final result cannot be more accurate than the least accurate observation, so the correct and most reliable answer in the above addition is 72.9.
APPEARS IN
RELATED QUESTIONS
A vernier callipers has a zero error of + 0.06 cm. Draw a neat labelled diagram to represent it.
What is the need for measuring length with vernier callipers?
State the formula for determining least count for a vernier callipers.
State the correction if the positive error is 7 divisions when the least count is 0.01 cm.
A micrometre screw gauge having a positive zero error of 5 divisions is used to measure diameter of a wire, when reading on the main scale is 3rd division and the 48th circular scale division coincides with baseline. If the micrometer has 10 divisions to a centimetre on the main scale and 100 divisions on a circular scale, calculate
- Pitch of screw
- Least count of screw
- Observed diameter
- Corrected diameter.
State the formula for calculating the least count of screw.
What is the least count in the case of the following instrument?
Metre scale
Define the least count of an instrument.
A Vernier calliper reads a main scale reading of 2.3 cm and the 5th division of the Vernier scale coincides with a main scale division. If the least count is 0.01 cm, what is the actual reading?
