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As student performs an experiment for d...

As student performs an experiment for determine of `g[=(4pi^(2)L)/(T^(2))]. L approx 1m`, and has commits an error of `Delta L` for `T` he tajes the teime of `n` osciollations wityh the stop watch of least count `Delta T`. For which of the following data the measurement of `g` will be most accurate?

A

` Delta L = 0.5 , Delta T = 0.1 , n = 20`

B

` Delta L = 0.5 , Delta T = 0.1 , n = 50`

C

` Delta L = 0.5 , Delta T = 0.01 , n = 20`

D

` Delta L = 0.5 , Delta T = 0.05 , n = 50`

Text Solution

Verified by Experts

The correct Answer is:
D
`(Delta g)/(g) = ( Delta l)/( l) + 2 ( Delta T)/( n T)` (` Delta l` and `Delta T` are least , and the number of readings are maximum.)
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