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Question: The mass of a beaker is found to be (10.1 ± 0.1) gm when empty and (17.3 ± 0.1)gm when partially fil...

The mass of a beaker is found to be (10.1 ± 0.1) gm when empty and (17.3 ± 0.1)gm when partially filled with a liquid. What is the best value of the mass of the liquid together with the possible limits of accuracy?

A

(7.2 ± 0.2) gm

B

(7.2 ± 0.1) gm

C

(7.1 ± 0.2) gm

D

(7.2 ± 0.3) gm

Answer

(7.2 ± 0.2) gm

Explanation

Solution

Mass of liquid = mass of beaker filled with liquid-mass of empty beaker.

= (17.3 − 10.1) gm = 7.2 gm

With a maximum possible error of 0.1 + 0.1 = 0.2

=(7.2 ± 0.2)gm

Hence (1) is correct.