The focal length of a convex lens was measured a number of times. The mean focal
length was found to be 10.41 cm. If the mean absolute error in the value of focal length is 0.13 cm,
calculate the relative error and the percentage error.
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Answer:
Mean value of the focal lenght
f
mean
=
6
17.3+17.8+18.3+18.2+17.9+18
= 17.9
Mean absolute error is
Δf
mean
=
6
∣17.9−17.3∣+∣17.9−17.8∣+17.9−18.3∣+∣17.9−18.2∣+∣17.9−17.9∣+∣17.9−18∣
=
6
0.6+0.2+0.4+0.3+0+0.1
= 0.27
Relative error is =
f
mean
Δf
mean
=
17.9
0.27
= 0.02
percentage error = Relative error ×1000
= 0.02 ×100
= 2
How satisfied are you with the answer?
Explanation:
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