A source of sound with natural frequency moves uniformly

110 N A 43 m long rope of mass 5 kg joins two rock climbers One climber strikes the rope and the second feels the pulse effect 1 4 second later The tension in rope is nearly 135 N 70 N hr 32 N mi

A tuning fork vibrating with a frequency of 512 Hz is kept close to the open end of a with water as shown in the figure The water level in the tube is gradually lowered When the water level is 17 cm below the open end maximum intensity of sound is heard The room temperature is 20 C Then 17 cm A Speed of sound in air at room temperature is 360 ms B Speed of sound in air at 0 C is 336 ms Tilled Reservoir C If the water in the tube is replaced with mercury then the intensity of reflected sound increases D If the water in the tube is replaced with mercury then the intensity of reflected sound

Example 17 42 A column of air and a tuning fork produces 4 beats s When sounding together the tuning fork gives the lower note The temperature of air is 15 C When the temperature falls to 10 C the two produce 3 beats s Find the frequency of the tuning fork by f

139 A closed organ pipe has length A The air in it is vibrating in 3rd overtone with maximum amplitude a The amplitude at a distance of 2 7 from closed end of the pipe a a 5 b a 2 1

15 assuming equal amplitudes gives mental s a cos at and s a cos w t 0 s are the one ency this ance ent ing nic ies 15 45 Here we have replaced the symbol y by s since we are referring to longitudinal not transverse displacement Let wo be the slightly greater of the two frequencies The resultant displacement is by the principle of superposition S S S a cosa t cos w t Using the familiar trignometric identity for cos A cosB we get ar ar t 2 which may be written as s 2 a cos w t cos w t 2 a cos COS and 2 az az t 2 If w w 1 w w w w th where 15 46 15 47 aj az 2 cca which means nation of the Shruti and Laya types Archaeologists date the Nelliappar temple to the 7th century and claim it was built by successive rulers of the Pandyan dynasty The musical pillars of Nelliappar and several other temples in southern India like those at Hampi picture Kanyakumari and Thiruvananthapuram are unique to the country and have no parallel in any other part of the world I asmen ut we can interpret Eq 15 47 as follows The resultant wave is oscillating with the average angular frequency however its amplitude is not constant in time unlike a pure harmonic wave The amplitude is the largest when the term cos at takes its limit 1 or 1 In other words the intensity of the resultant wave waxes and wanes with a frequency which is 20 0

vi In sonometer if tensions and length both becomes four times taking mass per unit length consta then for vibration of same frequency Tunning fork Number of loop will becomes

7 When two tuning forks fork 1 and fork 2 are sounded together 4 beats per second are heard Now some tape is attached on the prong of the fork 602 When the tuning forks are sounded again 6 beats per second are heard If the frequency of fork 1 is 200 Hz then what was the original frequency of fork 2 1 204 Hz 3 202 Hz 2 196 Hz 4 200 Hz

Wave has simple harmonic motion whose period is 4 seconds while another wave which also possesses simple harmonic motion has its period 3 sec If both are combined then the resultant wave will have the period equal to a 4 sec c 12 sec b 5 sec d 3 sec 1993

wo sound waves emitted by one sound source is approaching at a point through two path When path difference 3 36 cm or 60 cm then points are silence point if speed of sound in air 330 m sec then find the frequency of sound source bre hoxs inimum tho cliding distance between them

3 A tuning fork A produces 3 beats per second with tuning fork B On loading tuning fork B with wax beat frequency remains unchanged If frequency of tuning fork A is 343 Hz then frequency of tuning fork Bis