A metal wire of linear mass density of 9.8 `gm^-1` is stretched with a tension of 10kg wt between two rigid supports of 1 metre apart. If the wire is allowed to vibrate in its fundamental frequency, then find the frequency of vibration.

A wire with mass per unit length 0.05 gcm^-1 is stretched between two rigid supports with tension of 4.5xx(10)^7 dynes.it is observed that the wire resonates at a frequency of 420 Hz.The next frequency at which the wire resonates is 492 Hz.Find the length of the wire.

A brass wire 1.8 m long at 27^@C is held taut with little tension between two rigid supports. If the wire is cooled to a temperature of 39 ^@C , what is the tension developed in the wire, if its. diameter is 2.0 mm? Co-efficient of linear expansion of brass = 2.0 XX 10^-5 K^-1 Young’s modulus of brass = 0.91xx10^11 P

A wire is under tension of 32N and the length between the two bridges is 1 metre.A 10 metre length of the sample has a mass of 2g.Deduce the speed of transverse waves on the wire and the frequency of the fundamental.

The length of a sonometer wire is 0.75m and density 9xx10^3 kgm^(-3) . It can bear astress of 8.1xx10^8 Nm^(-2) without exceeding the elastic limit Calculate the fundamental frequency that can be produced in the wire.

A sonometer wire is under tension of 40 N and the length between the two bridges is 60 cm.A one metre long wire of the sonometer has a mass of 1.0 g.Deduce the speed of transverse waves and the frequency of the second harmonic.

A string 25 cm long and having a mass of 2.5 g is under tension.When the string is vibrating in its first overtone and air in a 40 cm long closed pipe in its fundamental frequency 8 beats per second are heard.it is observed that decreasing the tension in the string decreases the beat frequency.Find the tension in the string.[Velocity of sound is 320 m/s]

A copper wire,3 mm in diameter, is wound about a cylinder whose length is 1.2 m, and diameter 10 cm, so as to cover the curved surface of the cylinder. Find the length and mass of the wire, assuming the density of copper to be 8.88g/(cm^3) .

what percentage of length of a wire will increase by applying the stress of 1kg.weight/mm^(2) on it ?( Y = 10^11 N/m^2), 1 Kg Wt =9.8 N

A copper wire is held at two ends by rigid supports.At 30^0 C the wire is just taut,with negligble tension.Find the speed of transverse wave in the wire at 10^0 C[ alpha =1.7xx(10)^-5/^0C , gamma=1.3xx(10)^11N/(m)^2 , rho=9xx(10)^3kg/(m)^3 ]