A student performs an experiment an for determination of `g(=(4pi^(2)l)/(T^(2)))`. The error in length `l` is `Deltal` and in time `T` is `DeltaT and n` is number of times the reading is taken. The measurment of `g` is most accurate for

Options

A. (a) `Deltal = 5mm, Delta =0.2sec, n = 10`
B. (b) `Deltal = 5mm, Delta =0.2sec, n = 20`
C. ( c ) `Deltal = 5mm, Delta =0.1sec, n = 10`
D. ( d ) `Deltal = 1mm, Delta =0.1sec, n = 50`

Answer

D

Explanation

(d) `(Deltag)/(g) = (Deltal)/(l)+2(DeltaT)/(T)`
`Deltal and DeltaT` least and number of reading are maximum in option (d), therefore the measurement of `g` is most accurate with data used in this option.