Question

The true value of a particular mass is 8.5 g. The
four instruments A, B, C, D used to measure
mass gives the reading as 8.2 g, 8.48 g, 8.186 g,8 g respectively. Which of these instruments is
more accurate?

(1)A
(2) B
(3) C
(4) D​

Answer 1

Answer:

B

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Answer 2

Instrument B gives the most accurate value. (Option - B)

• For any instrument, the error in the measured value can be calculated as; Error (E) = Actual value (A) - measured value obtained by the instrument (M)
• In the case of instrument A, the error value can be calculated as; Error in instrument A = 8.5 g - 8.2 g = 0.3 grams.
• In the case of instrument B, the error value can be calculated as; Error in instrument B = 8.5 g - 8.48 g = 0.02 grams.
• In the case of instrument C, the error value can be calculated as; Error in instrument C = 8.5 g - 8.186 g = 0.314 grams.
• In the case of instrument D, the error value can be calculated as; Error in instrument D = 8.5 g - 8 g = 0.5 grams.
• On comparing the error values of all the instruments, we observe that the error value of instrument B is the least.
• That's why instrument B is the correct answer to this question.