• $summary_{type}$: application
• $word_{count}$: 160

T = 2pisqrt$\frac{L}{g}$ gives g = 4*$pi^2$L/$T^2$. Effective length L = string length + bob radius. Measure T by timing 20-50 oscillations (reduces human reaction time error). Plot $T^2$ vs L: straight line through origin, slope = 4$pi^2$/g. Error propagation: $Delta_g$/g = $\frac{Delta_L}{L}$ + 2*$Delta_T$/T — timing error is amplified by factor 2. Keep amplitude < 5 degrees (otherwise T depends on amplitude). Use a long string for longer T (easier to measure accurately). Precautions: rigid support, no air drafts, thin inextensible string, measure from pivot to bob center. If the $T^{2-L}$ graph doesn't pass through origin, it indicates a systematic error in length measurement. The y-intercept gives the effective length correction. Simple pendulum is the most common JEE experimental question — understanding error analysis and graphical interpretation is essential.