In an experiment to measure focal length of a convex lens, the value of focal length in successive observations turns out to be 17.3cm, 18.3cm, 18.2cm, 17.9cm and 18cm. Calculate the percentage error in the measurement of focal length of the mirror.
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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
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