A student measures the time period of 100 oscillations of a simple pendulum four times. The data set is 90 s…

A student measures the time period of 100 oscillations of a simple pendulum four times. The data set is 90 s, 91 s, 95 s and 92 s. If the minimum division in the measuring clock is 1 s, then the reported mean time should be:
  1. 92±1.8 s
  2. 92±3 s
  3. 92±2 s
  4. 92±5.0 s

Solution

T T s T i - T
  t 1  90  - 2
  t 2  91  - 1
  t 3  95  3
  t 4  92
  T i  92  Σ|Ti-T|N=1.5

Tr = 9 2 ± 1.5

Tr = 9 2 ± 2

Because least count of clock is 1s

Asked in: JEE Main 2016 (03 Apr)

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