Errors in measurementHard
Question
Students I1, J1,J3 and I2 perform an experiment for measuring the acceleration due to gravity (g) using a simple pendulum. They use different lengths of the pendulum and record time for different number ofoscillations. The observations are shown in the table.
Least count for length = 0.1 cm, Least count for time = 1s
If P1,P2,P3 and P4 are the % error in g for students I1,J1,J3 and I2 respectively then -
Least count for length = 0.1 cm, Least count for time = 1s
If P1,P2,P3 and P4 are the % error in g for students I1,J1,J3 and I2 respectively then -
Options
A.P1 = P3
B.P3 is maximum
C.P4 is minimum
D.P2 = P4
Solution
T = 2π
⇒ g ∝ lT-2 = 
Therefore P =
100 ⇒ P1 = 
× 100 = 0.6%, P2 = 
× 100 = 0.42%
P3 =
× 100 = 1.1%, P4 = 
× 100 = 0.28%
⇒ g ∝ lT-2 = Therefore P =
100 ⇒ P1 = × 100 = 0.6%, P2 = × 100 = 0.42%P3 =
× 100 = 1.1%, P4 = × 100 = 0.28%Create a free account to view solution
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