Question

*Mass Per Unit Length of String The experimental procedure was carried out, and tension versus wavelength squared was plotted. The slope of the graph was found to be 2.4 Nm?, and the frequency was determined to be 40.4 Hz. Determine the mass per unit length of the string, expressing answer in SI units, to 3 significant figures Entering numbers in scientific notation: Example: 1.45 x 10 should be entered as 1.45E-9 Answer:

Answer 1

It is given in the question that there is a graph beturen tension verous wavelength squared slope of the graph is 2.4 Nm2 3хирамеч = чо» чиз I now speed of the wave one sthing va 1 t - (2) - T is tension in the string u is mass per unit length And speed of the wave is also u= f - (2) f is the frequency a is the wavelength I using (1) and (2) , we get = $ I =$272 Ta Mf²a² - (3) р This equation can be equated to y z mx tc – (4) mis the slope. Comparing with 14), we get C: 0 I

and ma ref² Slope z uf? Given values of slope and Putting the values 204 = H (40.4)? frequency are 2.40. 2 .4 (40.42² M => H = 1:470E-3 kg/m Mass per unit length = 1.440 e-3