Question

The mean time period of seconds pendulum is $2.00\text{s}$ and mean absolute error in the time period is $0.05\text{s}$. Any measurement of the time period will be

• A. $>(2.00+0.05)\text{s}$
• B. $<(2.00-0.05)\text{s}$
• C. in the interval $(2.00\pm 0.05)\text{s}$
• D. $2.00\text{s}$

Answer 1

The correct option is C in the interval $(2.00\pm 0.05)\text{s}$

We know that any measurement is given by, $a=a_{mean}\pm \Delta a_{mean}$
$\Rightarrow a=(2.00\pm 0.05)\text{s}$
Thus, any measurement of the time period will be in the interval $(2.00\pm 0.05)\text{s}$.