A light rod AB of length 2 mis suspended from the ceiling horizontally by means of two vertical wires as show in Fig. One of the wires is made of steel of cross-section 0.1 cm^(2) and the other of brass of crosssection 0. cm^(2) . The Young's modulus of brass is 1.0 xx 10^(11) " Nm and of steel is 2.0 xx 10^(11) Nm^(-2) . Aweight Wis hung met point Cat a distance x from end A. It is found that the stress in the two wires is the same when x = (n)/(3) metre Find the value of n.

If you can give an aluminium wire having resistance 80 'Omega'. Find the resistance of the following. a) Another aluminium wire having the same area of cross section and double the length of the first wire. b) An aluminium wire having the same length and double the area of cross section of thê first one. c) An aluminium wire having double the length and half of the area of cross section of the first wire. d) Aluminium wire having half the area of cross section and three times the length of the first wire.

An aluminium wire of cross-sectional area 1xx10^(-6)m^(2) is joined to a copper wire of the same cross section. This compound wire is stretched on a sonometer, pulled by a weight of 10 kg. The total length of the compound wire between the two bridges is 1.5 m of which the aluminium wire is 0.6 m and the rest is the copper wire. Transverse vibrations are set up in the wire by using an external force of variable frequency. Find the lowest frequency of excitation for which standing waves are formed, such that the joint in the wire is a node. What is the total number of nodes observed at this frequency excluding the two at the ends of the wire? The density of aluminium is 2.6 xx 10^(3) kg//m^(3) and that of copper 1.0401 xx 10^(4)kg//m^(3) .

An aluminium wire of cross-sectional area 1 xx 10^(-6) m^(2) is joined to a copper wire of the same cross-section. This compound wire is stretched on a sonometer, pulled by a weight of 10 kg. The total length of the compound wire between the two bridges is 1.5 m of which the aluminium wire is 0.6 m and the rest is the copper wire. Transverse vibrations are set upjn the wire by using an external force of variable frequency. Find the lowest frequency of excitation for which standing waves are formed, such that the joint in the wire is a node. What is the total number ofnodes observed at this frequency excluding the two at the ends ofthe wire? The density of aluminium is 2.6 xx 10^(3) kg//m^(3) and that of copper 1.0401 xx 10^(4) kg/m^(3) )

In Fig., AB is a 2 m long rod of negligible weight. It is supported at the ends by wires X and Yofequal length. Young's modulus for wire X is 2 xx 10^(11) N//m^(2) and its area of cross-section 3 mm^(2) . For wire Y, Young's modulus is 1.4 xx 10^(11)" N//m^(2) and its area of cross-section is 6 mm^(2) . A mass M is suspended at any point along the rod. Considering all possible positions of suspension of mass M along the rod

Auniform wire (Young's modulus 2 xx 10^(11) Nm^(-2)) is subjected to a longitudinal tensile stress of 5 xx 10^(7)'Nm^(2) . If the overall volume change in the wire is 0.02%, the fractional decrease in the radius of the wire is

The bulk modulus of a liquid of density 8000 "kgm"^(-3) is 2 xx 10^(9) "Nm"^(-2) . The speed of sound in that liquid is (in "ms"^(-1) )