Measurement of the length of a table with a metre scale gave the following readings: 1.320 m, 1.324 m, 1.317 m, 1.321 m and 1.319 m. Find the Absolute Error, Relative Error and Percentage Error.
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11th
Physics
Units and Measurement
Errors in Measurement
The length, breadth and thi...
PHYSICS
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Asked on December 27, 2019 by
Mukhilan Atkare
The length, breadth and thickness of a block are measured with the help of a meter scale. given ℓ =(5.12 + 0.01)cm, b =(10.15 +0.01)cm, t=(5.28+0.01)cm. The percentage error in volume is:
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Given that,
Length of the block l=(5.12+0.01)cm
Breadth of the block b=(10.15+0.01) cm
Thickness of the block t=(5.28+0.01) cm
We know that,
Relative error in volume of cuboid
V
dV
=
l
dl
+
b
db
+
t
dt
V
dV
=
5.12
0.01
+
10.15
0.01
+
5.28
0.01
V
dV
=
512
1
+
1015
1
+
528
1
Now, the percentage error in volume
V
ΔV
×100=0.48
%ΔV=0.48%
Hence, the percentage error in volume is 0.48.
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