A student measures the time taken for 20 swings of a pendulum. He finds that it takes 40
seconds. What time does the pendulum take for one swing?
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11th
Physics
Gravitation
Acceleration due to Gravity
A student uses a simple pen...
PHYSICS
A student uses a simple pendulum of exactly 1 m length to determine g, the acceleration due to gravity. He uses a stopwatch with the least count of 1 second for this and records 40 seconds for 20 oscillations. For this observation, which of the following statements is true?
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ANSWER
Relative error in measurement of time,
=
t
Δt
=
40s
1s
=
40
1
Time period, T=
20
40s
=2s
Error in measurement of time period,
ΔT=T×
t
Δt
=2s×
40
1
=0.05s
The time period of simple pendulum is
T=2π
g
l
or T
2
=
g
4π
2
l
or g=
T
2
4π
2
l
∴
g
Δg
=
T
2ΔT
=2×
40
1
=
20
1
(∵
T
ΔT
=
t
Δt
)
Percentage error in determination of g is
g
Δg
×100=
20
1
×100=5%