Errors in measurementHard
Question
Students I, II and III perform an experiment for measuring the acceleration due to gravity (g) using a simple pendulum. They use different lengths of the pendulum and /or record time for different number of oscillations. The observations are shown in the table.
Least count for length = 0.1 cm Least count for time = 0.1 s
If EI, EII and EIII are the percentage errors in g, i.e.,
for students I, II and III, respectively,
Least count for length = 0.1 cm
If EI, EII and EIII are the percentage errors in g, i.e.,
for students I, II and III, respectively,Options
A.EI = 0
B.EI is minimum
C.EI = EII
D.EII is maximum
Solution
g = 4π2 
⇒ E =
, greater the value of t, lesser the error
Hence, fractional error in the Ist observation is minimum
⇒ E =
, greater the value of t, lesser the errorHence, fractional error in the Ist observation is minimum
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