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- 51. The following observations were taken for determining surface tension \(T\) of water by capillary method: diameter of capillary, \(D= 1.25 \times 10^{-2}\; m\) rise of water, \(h=1.45 \times 10^{-2}\; m \) Using \(g= 9.80 \;m/s^2\) and the simplified relation \(T = \frac{{rhg}}{2}\times 10^3 N/m\) , the possible error in surface tension is ........... \(\%\) 2017 Medium
- 52. A student measures the time period of \(100\) oscillations of a simple pendulum four times. The data set is \(90\;s\) ,\(91\;s \), \(95\;s\) and \(92\;s\). If the minimum division in the measuring clock is \(1\;s\), then the reported mean time should be 2016 Medium
- 53. The period of oscillation of a simple pendulum is \(T=2\pi \sqrt {\frac{l}{g}} \). Measured value of \(L\) is \(20.0\; cm\) known to \(1\; mm\) accuracy and time for \(100\) oscillations of the pendulum is found to be \(90\ s\) using a wrist watch of \(1\; s\) resolution. The accuracy in the determination of \(g\) is ........ \(\%\) 2015 Easy
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