The true value of a particular mass is 8.5 9. The
four instruments A, B, C, D used to measure
mass gives the reading as 8.2 9.8.48 9. 8. 186 9.
8 g respectively. Which of these instruments is
more accurate?
(1) A
(2) B
(3) c
(4) D
Answers
Answer:
Instrument B is more accurate
Explanation:
The accuracy of a measurement is a measure of how close the measured value is to the true value of the quantity. The accuracy in measurement may depend on several factors, including the limit or the resolution of the measuring instrument.
The more accurate measurement is (2) B
The accuracy of any measurement depends on many facts like:
- The device which is used
- Error in the device
- Error from the end of the person who is performing it, e.g. - Perpendicular error etc.
The more the value of the reading is nearer to the exact value, more it is accurate.
So, the more accurate value will have less difference from the actual value.
Given, the true value of mass = 8.59 g
The measured values are :
A = 8.29 g
B = 8.48 g
C = 9.8186 g
D = 9.8 g
so, the differences are respectively :
From A, (8.59 - 8.29) = 0.30
From B, (8.48 - 8.29) = 0.19
From C, ( 9.8186 - 8.29) = 1.526
From D, (9.8 - 8.29) = 1.51
The least difference is from B
So, the more accurate measurement will be B.