Question

Three measurements of the time for 20 oscillations of a pendulum give t₁ = 39.6 s, t₂ = 39.9 s and t₃ = 39.5 s. What is the precision in the measurements? What is the accuracy of the measurements?

Answer 1

(a) precision is given by least count of the instrument { e.g., pendulum}

here, least of 20 oscillation = 0.1 sec

so, least count of 1 oscillation = 0.1/20 = 0.005sec

hence, precision in measurements = 0.005sec

(b) observations are 39.6sec, 39.9 sec , 39.5 sec
mean of observations = (39.6 + 39.9 + 39.5)/3

= (119)/3 ≈ 39.6sec

now, maximum error in 20 oscillations = observation of highest value - mean of observations

= 39.9 - 39.6 = 0.3 sec

so, max absorbed error in 1 oscillation = 0.3/20 = 0.015 sec

hence, accuracy of measurements is 0.015 sec

Answer 2

Answer:

Explanation:

This is the right answer...