Question

The time periods of oscillation of a simple pendulum were observed as 1.78 s, 1.72 s, 1.68 s, 1.70 s & 1.76 s, respectively. average time period of the pendulum is

• A. 1.728 s
• B. 1.7 s
• C. 1.72 s
• D. 1.73 s

Answer 1

Answer: (D)

1.73 s

$\begin{array}{cc}\text{Given;}& T_1=1.78s\\ T_2& =1.72s\\ T_3& =1.68s\end{array}$

$\begin{array}{c}{T}_4=1.70s\\ T_5=1.76s\end{array}$

$\begin{array}{c}T=\text{Time period}\end{array}$

$\begin{array}{cc}& \begin{array}{cc}\text{Average}& =\frac{\text{Sum of observations}}{\text{No. of observations}}\\ \begin{array}{cc}& \\ T_{avg}& =\frac{1.78+1.72+1.68+1.70+1.76}{5}\\ & =\frac{8.64}{5}\end{array}& \end{array}\\ & \end{array}$

$=1.73s$