AIM- To determine the frequency of A. C. mains by using an electric vibrator.
APPARATUS- Electric vibrator, table lamp, pulley, weight box, fishing cord, a. c. source.
THEORY- when a cord of mass per unit length m is connected to the vibrating rod of the vibrator and stretched with a tension T, the cord vibrators in segments. If the length of the cord is then adjusted until the nodes are clearly marked, the frequency of the stretched string is the same as of the vibrating rod which is vibrating with the frequency of A.C. Mains. Its frequency of vibrating is given by η=12lTm And this is also frequency of A.C. mains. FIGURE-
PROCEDURE- 1. Switch on current and see that the rod of the electric vibrator begins to vibrate. 2. Adjust the length of the rod till its free ends attain the vibrations of maximum amplitude. After length of the vibrating cord by shifting the vibrator till the nodes are clearly defined. 3. Mark the position of extreme node leaving out the first and last loop. Measure the length of the vibrating cord and divide it by the no. of loops to get ‘l’ for some tension. 4. Take more sets by altering the length of the cord. Calculate the mean total tension applied to the cord. 5. Repeat the experiment with different tensions.
OBSERVATION TABLE-
Mass per unit length-…………………………………
Mass of the pan-………………………………………. S. NO. | NO OF LOOPS (N) | LENGTH OF CORD(L)(in cm) | LENGTH OF ONE LOOP(L/N) (cm) | MASS OF PAN (gm) | MASS ON PAN (gm) | TOTAL MASS (M) (gm) | TENSION T=Mg(gmcm/sec2) | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
CACULATION-
Calculate six 1,2,3,4,5,6 by using below formula by changing the value of T & l according to table η=12lTm
Take mean η= η1+η2+η3+η4+η5+η6 6
%error= standard value ~ Experimental