Errors in measurementMedium
Question
The length l, breadth b and thickness t of a block of wood were measured with the help of a measuring scale. The radius permissible errors are l = 15.12 ± 0.01 cm, b = 10.15 ± 0.01 cm, t = 5.28 ± 0.01 cm. The percentage error in volume up to proper significant figure is -
Options
A.0.16%
B.0.36%
C.0.48%
D.0.64%
Solution
∵ V = lbt ∴ 
×100 = 
× 100
= (0.066 + 0.098 + 0.189) %
= (0.07 + 0.10 + 0.19)% = 0.36 %
×100 = × 100= (0.066 + 0.098 + 0.189) %
= (0.07 + 0.10 + 0.19)% = 0.36 %
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