ND1 First Semester Practical Manual Maximum Mark Penalty Mark Obtained QUESTIONS L and a) i) Plot a graph of against To determine the A slope. ii) ART Given that _ - - deduce the value of g from the graph. iii) Plot a graph of log L against log T and measure the slope. If T and L are connected by the equation T = CL where C and it are constants, determine the values of C and n from your graph in (ili). V ) State the precautions taken. 1) For an oscillating pendulum, indicate the positions where the bob has maximum kinetic energy and maximum potential energy. Why is a spherical bob preferred to bobs of irregular shapes for use in the above experiment? 1I1) Define the period of oscillation of a simple pendulum. If the bob of a pendulum is replaced with another of larger mass. how will the period be affected? iv ) How will the period of oscillation of A simple pendulum be affected if taken to the mount. Explain. 111NO1 Fir ND1 First Semester Practical Manual VOL 1 Theory The period of oscillation of a simple pendulum is given by API (1) AT Which can be written as AF L (2) E L= (3) From equation (3), a graph of L against 7" will be a straight line with slope equal to Suppose, however we assume that the relation between I and _ is not known explicitly then we can assume a relation T - CD', where C and n'are constants. Taking logarithm of both sides: logT = nlog L + log C. A graph of log? against log / will be a straight line with slope. =n, and intercept log : so, n and C can be evaluated. Experimentally it is found that n'= - which agrees with equation 2 ( 1 ). It will be easy to check that