Question

Question No. 35
• If a wire of length 2 meter
weighing 80.0 gram is stretched
under the tension of 150N, then find
out the velocity of the wave and also
calculate the fundamental frequency
generated.​

Answer 1

Answer:

the answer is 750n because the its 150 n

Answer 2

Given,

length = 2m

weight = 0.8 kg

tension = 150 N

To find,

velocity of the wave and fundamental frequency

Solution,

To find the velocity of the wave, we need to first find the linear density of the wire.

Linear density of wire = mass/length

Linear density = 2/0.80

Linear density = 2.5 kg/m

Using linae density to calculate velocity,

velocity = √(Tension/ linear density)

v = √(150/2.5)

v = √(60) m/s = 7.7 m/s

The fundamental frequency of a wire is given as:

fundamental frequency = v/2f

The frequency of a wire is 2 × length of the wire.

∵Fundamental frequency =  √60/(2*2)

Fundamental frequency = √60/4

Fundamental frequency = 2√15/4

Fundamental frequency = √15/2

Fundamental frequency = 1.93 Hz

The velocity of the wave is 7.7 m/s and the fundamental frequency generated is 1.93 Hz.