A block of mass 4 kg is suspended from the ceiling with the help of a steel wire of radius 2mm and negligible mass. Find the stress in the wire. `(g=pi^(2))` (A) `4.0xx10^(6) N//m^(2)` (B) `3.14xx10^(6) N//m^(2)` (C) `3xx10^(5) N//m^(2)` (D) `2.0xx10^(6) N//m^(2)`

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)

Find the greatest length of steel wire that can hang vertically without breaking.Breaking stress of steel =8.0xx10^(8) N//m^(2) . Density of steel =8.0xx10^(3) kg//m^(3) . Take g =10 m//s^(2) .

Hardness of water is 200 ppm. The normality and molarity of CaCO_3 in the water is (a). 2xx10^(-6)(N,2xx10^(-6)M (b). 4xx10^(-2)N,2xx10^(-2)M (c). 4xx10^(-3)N,2xx10^(-3)M (d). 4xx10^(-1)N,2xx10^(-1)M

A body of mass 1 kg is fastened to one end of a steel wire of cross- section area 3 xx 10^(-6)m^(2) and is rotated in horizantal circle of radius 20 cm with a constant speed 2 m//s . Find the elongation of the wire (Y= 2 xx 10^(11) N//m^(2))

On increasing the length by 0.5 mm in a steel wire of length 2 m and area of cross section 2 mm^2 , the force required is [Y for steel =2.2xx10^11(N)/(m^2) ]

A load is suspended from a steel wire with a radius of 1mm. The load extends the wire the same amount as does heating by 20^(@)C . Find the load (approx). alpha_("steel") = 1.1 xx 10^(-5) K^(-1) , Young's modulus = 21.6 xx 10^(10) N//m^(2)

(a) A wire 4 m long and 0.3 mm, calculate the potential energy stored in the wire. Young's modulus for the material of wire is 2.0xx10^(11) N//m^(2) .

The density of the material of a wire used in sonometer is 75xx10^(-2) kg //m^(3) . If the stress on the wire is 3.0xx10^(4) N//m^(2) , the speed of transverse wave in the wire will be