JEE Advanced2006PhysicsMathematics in PhysicsActual
A student performs an experiment for determination of g (= 4 ^2 l T^2 ), l 1 ~m , and he commits an error of l . For T he takes the time of n oscillations with the stop watch of least count T and he commits a human error of 0.1 ~s . For which of the following data, the measurement of g will be most accurate?
Options
- AL=0.5, T=0.1, n=20
- BL=0.5, T=0.1, n=50
- CL=0.5, T=0.01, n=20
- DL=0.1, T=0.05, n=50
Correct answer
D. L=0.1, T=0.05, n=50
Step-by-step solution
g g = l l +2 T n In option (d) error in g is minimum and number of observations made are maximum. Hence, in this case error in g will be minimum.