Question

29a)A violin string is set in vibration at a frequency of 440Hz. How many vibrations does it make while its sound travels 200m if the temperature is 25C

29b)A wire with a linear mass density of 2.5x10^-3 kg/m is under 35N of tension. If the wire is plucked what is the frequency of the wave on the wire if its wavelength is 2m

Answer #1

**29a) we know,**

**speed of sound, v = vo + 0.6*T**

**= 331 + 0.6*25**

**= 346 m/s**

**time taken to travel, t = d/v**

**= 200/346**

**= 0.578 s**

**no of vibrations made during this time = t/Time
period**

**= t/(1/f)**

**= t*f**

**= 0.578*440**

**= 254
<<<<<<<<<-----------------Answer**

**29b)**

**given
mue = 2.5*10^-3 kg/m
T = 35 N
lamda = 2 m
speed of wave on the string, v = sqrt(T/mue)**

**= sqrt(35/(2.5*10^-3))**

**= 118.3 m/s**

**now use, v = lamda*f**

**===> f = v/lamda**

**= 118.3/2**

**= 59 Hz
<<<<<<<<<------------Answer**

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