Question

In a simple pendulum experiment, the length of the thread is measured as 102.3 cm and the diameter of the bob as 2.24 cm. What is the maximum possible error in the value of the effective length of the pendulum?
A. 1.1 cm
B. 0.011 cm
C. 0.11 cm
D. 0.111 cm

Answer 1

Correct Answer - c
Effective length = length of the thread + radius of the bob.
Length is measured by a metre scale. Maximum error in length = 0.1 cm = least count of the metre scale.
Thus `Deltal=0.1` cm and radius `=(2.24)/(2)=1.12`
Radius is measured by a vernier of L.C. = 0.01 cm.
`therefore` Maximum error in radius measurement
`=0.01cm = Deltar`
`therefore` Maximum error in effective length measurement
`=Deltal+Deltar=0.1+0.01=0.11cm`