the length of penduluam is(1.5±0.01)m and the accelration due to gravitiy is taken into account as(9.8±0.1)ms. calculate the time period of the pendulam with uncertainty in it
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Explanation:
Time period, T=2π
g
l
or g=
T
2
4π
2
l
The maximum percentage error
g
Δg
=
l
Δl
+2
∣
∣
∣
∣
∣
T
ΔT
∣
∣
∣
∣
∣
where
l
Δl
=2% and
T
ΔT
=3%
g
Δg
=2%+2×3%
=2%+6%=8%
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