A brass rod 1 metre long is firmly clampled in the middle and one end is stroked by a resined cloth. What is the pitch of the note you will hear ? Density of brass `=9gcm^(-3)` and Young's modulus of brass `=10^(12)"dyne" //cm^(2)`.

An aluminium rod having a length 100 cm is clamped at its middle point and set into longitudinal vibrations. Let the rod vibrate in its fundamental mode. The density of aluminium is 2600 kg//m^(3) and its Young's modulus is 7.8xx10^(10) N//m^(2) . The frequency of the sound produced is :-

A rubber string 10m long is suspended from a rigid support at its one end. Calculate the extension in the string due to its own weight. The density of rubber is 1.5xx10^(3) and Young's modulus for the rubber is 5xx10^(6)Nm^(-2) Take g=10Nkg^(-1) .

An aluminium rod having a length of 90.0 cm is clamped at its middle point and is set into longitudinal vibrations by stroking it with a rosined cloth. Assume that the rod vibrates in it sfundmental mode of vibration. The density of aluminiumis 2600 kgm^-3 and it s Young's modulus is 7.80xx10^10 Nm^-2 . Find a. the speed of sound in aluminium, b. the wavelength of sound waves produced in the rod. c. THefrequency of the sound produced and d.the wavelength of the sound produced in air. Take the speed of sound in air t be 340 ms^-1 .

A brass wire 1.8 m long at 27^(@)C is held taut with little tension between two rigid supports. If the wire cooled to a temperature of -39^(@)C , what is the tension developed in the wire, if its diameter is 2.0 mm ? Coefficient of linear expansion of brass = 2.0 xx 10^(-5)//^(@)C , Young's modulus of brass = 0.91 xx 10^(11) Pa .

A granite rod of 60 cm length is clamped at its middle point and is set into longitudinal vibrations. The density of granite is 2.7 xx10^(3) kg//m^(3) and its Young’s modulus is 9.27 xx10^(10) Pa. What will be the fundamental frequency of the longitudinal vibrations ?

A wire of density 9000 kg//m^(3) is stretched between two clamps 100 cm apart while subjected to an extension od 0.05 cm . What is the lowest frequency of transverse vibrations in the wire , assuming Young's modulus of the material to be 9 xx 10^(10) N//m^(2) ?

A thin uniform metallic rod of length 0.5 m and radius 0.1 m rotates with an angular velocity 400rad/s is a horizontal plane about a vertical axis passing through one of its ends. Calculate (a) tenstion in the rod and (b) the elogation of te rod. The density of material of the rod is 10^(4)kg//m^(3) and the young's modulus is 2xx10^(11)N//m^(2)

A uniform copper rod of length 50 cm and diameter 3.0 mm is kept on a frictionless horizontal surface at 20^(@)C . The coefficient of linear expansion of copper is 2.0 xx 10^(-5) K^(-1) and Young's modulus is 1.2 xx 10^(11) N//m^(2) . The copper rod is heated to 100^(@)C , then the tension developed in the copper rod is

Two wires of diameter 0.25 cm , one made of steel and other made of brass, are loaded as shown in the figure. The unloaded length of the steel wire is 1.5 m and that of brass is 1.0 m . Young's modulus of steel is 2.0 xx 10^(11) Pa and that of brass is 1.0 xx 10^(11) Pa. Compute the ratio of elongations of steel and brass wires. (/_\l_("steel"))/(/_\l_("brass"))=?