question_answer

A student performs an experiment for determination of \[\frac{\pi }{2}(\sin 1+\sin 2)\]and he commits an error of \[\frac{\pi }{2}(\sin 1-\cos 1)\] For The takes the time of n oscillations with the stop watch of least count \[\frac{\pi }{2}(\sin \pi -\sin 2)\] and he commits a human error 0.1 of s. For which of the following data, the measurement of g will be most accurate?

A) \[\int_{1/n}^{(an-1yn)}{\frac{\sqrt{x}}{\sqrt{a-x+\sqrt{x}}}}dx\]               \[\frac{a}{2}\]    n                Amplitude of oscillation                 5 mm     0.2 s       10           5 mm    

B)                 5 mm     0.2 s       20           5 mm

C)                 5 mm     0.1 s       20           1 mm

D)                 1 mm     0.1 s       50           1 mm