To measure gravitational acceleration by using simple pendulum, length of pendulum (0.8pm0.01) m and periodic time (2.5pm0.12) s. Find percentage error in measurement of g.

To measure gravitational acceleration by using simple pendulum, length

1.	To measure gravitational acceleration by using simple pendulum, length of pendulum (0.8pm0.01) m and periodic time (2.5pm0.12) s. Find percentage error in measurement of g.
Answer» 10.85 12.75 15.85 21.12 Solution :`T=2pisqrt((l)/(g))` `:.T^(2)=(4pi^(2)l)/(g)` `:.g=(4pi^(2)l)/(T^(2))` `[:.4pi^(2)` = constant] `:.` % ERROR in measurement of g, `(DELTAG)/(g)xx100%=(Deltal)/(l)xx100%+2(DeltaT)/(T)xx100%` `=(0.01)/(0.8)xx100%+2XX(0.12xx100)/(2.5)` `=1.25%+9.6%` `=10.85%`