The length of the string of a simple pendulum is measured with a meter scale to be $90.0 \mathrm{~cm}$. The radius of the bob plus the length of the hook is calculated to be $2.13 \mathrm{~cm}$ using measurements with a side calipers. What is the effective length of the pendulum? (The effective length is defined as the distance between the point of suspension and the center of the bob.)
Effective Length $=(90.0+2.13) \mathrm{cm}$
In the measurement of the $90.0 \mathrm{~cm}$, there are only two significant digits. Keeping this in mind, we have to consider only two significant digits during addition. So,
Effective Length $=(90.0+2.1) \mathrm{cm}=92.1 \mathrm{~cm}$
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