A steel wire of length `1m`, mass `0.1kg` and uniform cross-sectional area `10^(-6)m^(2)` is rigidly fixed at both ends. The temperature of the wire is lowered by `20^(@)C`. If transverse waves are set up by plucking the string in the middle.Calculate the frequency of the fundamental mode of vibration.
Given for steel `Y = 2 xx 10^(11)N//m^(2)`
`alpha = 1.21 xx 10^(-5) per ^(@)C`

A steel wire of length 1m , mass 0.1kg and uniform cross-sectional area 10^(-6)m^(2) is rigidly fixed at both ends. The temperature of the wire is lowered by 20^(@)C . If transverse calculate the frequency of the fundamental mode of vibration. Given for steel Y = 2 xx 10^(11)N//m^(2) alpha = 1.21 xx 10^(-5) per ^(@)C

A steel wire of length 1 m and mass 0.1 kg and having a uniform cross-sectional area of 10^(-6) m^(2) is rigidly fixed at both ends. The temperature of the wire is lowered by 20^(@)C . If the wire is vibrating in fundamental mode, find the frequency (in Hz). (Y_(steel)=2xx 10^(11) N//m^(2),alpha_(steel)=1.21 xx 10^(-5)//.^(@)C) .

A steel wire of length 20 cm and uniform cross-sectional area of 1 mm^(2) is tied rigidly at both the ends at 45^(@)C . If the temperature of the wire is decreased to 20^(@)C , then the change in the tension of the wire will be [Y for steel = 2 xx 10^(11 Nm^(-2) , the coefficient of linear expansion for steel = 1.1 xx 10^(-5)//.^(@)CC^(-1) ]

A steel wire of length 20 cm and uniform cross-sectional 1 mm^(2) is tied rigidly at both the ends. The temperature of the wire is altered from 40^(@)C to 20^(@)C . Coefficient of linear expansion of steel is alpha = 1.1 xx 10^(-5) .^(@)C^(-1) and Y for steel is 2.0 xx 10^(11) Nm^(2) , the tension in the wire is

A steel wire is rigidly fixed at both ends its length mass and cross sectional area are 1m, 0.1 kg and 10^(6)m^(2) respectively then the temperature of the wire is lowered by 20^(@)C if the transverse waves are setup by plucking the wire at 0.25m from one end and assuming that wire vibrates with minimum number of loops possible for such a case. Find the frequency of vibration (in Hz). [coefficient of linear expansion of steel =1.21xx10^(-6)//.^(@)C and young's modulus =2xx10^(11)//N//m^(2) ]

A steel wire of length 20 cm and uniform cross-section 1mm^(2) is tied rigidly at both the ends. If the temperature of the wire is altered from 40^(@)C to 20^(@)C , the change in tension. [Given coefficient of linear expansion of steel is 1.1xx10^(5) .^(@)C^(-1) and Young's modulus for steel is 2.0xx10^(11) Nm^(-2) ]

A steel wire of length 20 cm and unifrom crossection mm^(2) is tied rigidly at both the ends. If temperature of the wre is altered from 40^(@)C to 20^(@)C , calcutlate the change in tension. Given coeffeicient of linear expansion of steel is 1.1 xx 10^(-5) .^(@)C^(-1) and Young's modulus for steel is 2.0 xx 10^(11) Nm^(-2) .

A steel wire of uniform cross-sectional area 2mm^(2) is heated upto 50^(@) and clamped rigidly at two ends . If the temperature of wire falls to 30^(@) then change in tension in the wire will be , if coefficient of linear expansion of steel is 1.1 xx 10^(-5)//"^(@)C and young's modulus of elasticity of steel is 2 xx 10^(11) N//m^(2)

A steel wire of length 20 cm and cross - section 1 mm^(2) is tied rigidly at both ends at room temperature 30^(@)C . If the temperature falls 10^(@)C , what will be the change in tension ? Given that Y = 2xx10^(11)N//m^(2) and alpha = 1.1xx10^(-5)//^(@)C

A steel wire fo length 5m and cross-sectional area 2xx10^(-6)m^(2) streches by the same amount as a copper wire of length 4m and cross sectional area of 3xx10^(-6) m^(2) under a given load. The ratio of young's mouduls of steel to that of copper is