Clamped at the middle a metal rod of length 1 meter and density 7.5gm/cc,gives dust heaps at intervals of 8cm" velocity of sound in the gas used is 400 meter/sec.then the young's modulus of material of the rod will be

A closed orgain pipe of length l_(0) is resonating in 5^(th) harmonic mode with rod clamped at two points l and 3l from one end. If the length of the rod is 4l and it is vibrating in first overtone. Find the length of the rod. [Velocity of sound in air =v_(s) Young's modulus for the rod Y and density rho ]

A metalrod of length 1.5 m is clamed at the centre. When it is set with longitudinal vibratons it emits a note of 1000 Hz. Determine the Young's modulus if the density of material = 8 xx 10^(3) kg/m^(3)

A metallic rod of length 1m is rigidly clamped at its mid point. Longirudinal stationary wave are setup in the rod in such a way that there are two nodes on either side of the midpoint. The amplitude of an antinode is 2 xx 10^(-6) m . Write the equation of motion of a point 2 cm from the midpoint and those of the constituent waves in the rod, (Young,s modulus of the material of the rod = 2 xx 10^(11) Nm^(-2) , density = 8000 kg-m^(-3) ). Both ends are free.

One end of a metal pipe of length 660m is struck a blow a listener at the other end hears two sounds at an interval of 1.89 seconds. The density of steel is 8xx10^(3) kg /m^(3) and the velocity of sound in air is 330m/s. Find the modulus of elasticity of the steel (A) 1.88xx10^(11)N//m^(2) (B) 7.68xx10^(11)N//m^(2) (C) 2.88xx10^(11)N//m^(2) (D) 5.88xx10^(11)N//m^(2)

Standing wave produced in a metal rod of length 1m is represented by the equation y=10^(-6)sin.(pix)/(2)sin200pit where x is in metre and t is in seconds. The maximum tensile stress at the mid point of the rod is (Young's modulus of material of rod =10^(12)N//m^(2) )

A 5 kg rod of square cross section 5 cm on a side and 1m long is pulled along a smooth horizontal surface by a force applied at one end. The rod has a constant acceleration of 2 ms^(-12) . Determine the elongation in the rod. (Young's modulus of the material of the rod is 5 xx 10^(3) N//m^(9) ).

(a) In a liquid with density 1300 kg //m^(3) , longitudinal waves frequency 400 H_(Z) are found to have wavelength 8.00 m . Calculate the bulk modulus of the liquid. (b) A metal bar with a length of 1.50 m has density 6400 kg//m^(3) . Longitudinal sound waves take 3.90xx10^(-4) s to travel from one end of the bar to the other. What is young's modulus for this metal?

The density of a uniform steel wire of mass 1.6 xx 10^(-2) kg , and length 2.5 m is 8 xx 10^(3) kg//m^(3) . When it is loaded by 8kg, it elongates by 1.25 mm. If g = 10 m//s^(2) , then the Young's modulus of the material of the wire is

A catapult consists of two parallel rubber cords each of length 20cm and cross-sectional area 5cm^(2) . When stretched by 8cm , it can throw a stone of mass 4gm to a vertical height 5m , the Young's modulus of elasticity of rubber is [g = 10m//sec^(2)]