Question

A sonometer wire, 65 cm long, is in resonance with a tuning fork of frequency N. If the length of the wire is decreased by 1 cm and it is vibrated with the same tuning fork, 8 beats are heard per second. What is the value of N?

Solution

Correct option is

512 Hz

 

  

  

 which gives N = 512 Hz.

SIMILAR QUESTIONS

Q1

Figure shows the shape of part of a long string in which transverse waves are produced by attaching one end of the string to tuning fork of frequency 250 Hz. What is the velocity of the waves?

                                                  

Q2

 

Particle displacements (in cm) in a standing wave are given by 

                     

The distance between a node and the next anti-node is

Q3

If Young’s modulus of the material of a rod is  and its density is 8000 kg m–3, the time taken by a sound wave to traverse 1 m of the rod will be 

Q4

An observer moves towards a stationary source of sound with a velocity one-tenth the velocity of sound. The apparent increase in frequency is

Q5

A stone hangs from the free end of a sonometer wire whose vibrating length, when tuned to a tuning fork, is 40 cm. When the stone hangs wholly immersed in water, the resonant length is reduced to 30 cm. The relative density of the stone is

Q6

A cylindrical tube, open at both ends, has fundamental frequency n. If one of the ends is closed, the fundamental frequency will become

Q7

Two loudspeakers A and B, 1.0 m apart, produce sound waves of the same wavelength and in the same phase. A sensitive sound detector, moving along PQ, parallel to line AB, 2.4 m away, detects maximum sound at P (on the perpendicular bisector of AB) another maximum sound when it first reaches Q directly opposite to B, as shown in fig. What is the wavelength of sound emitted by the speakers?

                                             

Q8

 

A progressive wave in a medium is represented by the equation 

                            

Where y and x are in cm and t in seconds. The maximum speed of a particle of the medium due to the wave is

Q9

A tuning fork of frequency 340 Hz is sounded above a cylindrical tube 1 m high. Water is slowly poured into the tube. If the speed of sound is 340 ms–1, at what levels of water in the tube will the sound of the fork be appreciably intensified? 

Q10

Two organ pipes, each closed at one end, give 5 beats per second when emitting their fundamental notes. If their lengths are in the ratio of 50 : 51, their fundamental frequencies (in Hz) are