Home
Class 12
PHYSICS
Two wires 1 and 2 of the same cross sect...

Two wires 1 and 2 of the same cross sectional area `A=10mm^2` and the same length but made of different materials are welded together and their ends are rigidly clamped between two walls, as shown in figure. The respective young's moduli and coefficient of linear expansions are `y_1 = 10^9 N//m^2 , y_2 = 2 xx 10^9 N//m^2 , alpha_1 = 6 xx 10^(-4) ""^@C^(-1) , alpha_2 = 3 xx 10^(-4) ""^@C^(-1)` . if temperature of system reduced by `20^@`C then

Find the displacement of the joint

A

20 Hz

B

40 Hz

C

60 Hz

D

100 Hz

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

A steel wire 2mm in diameter is just stretched between two rigid walls at 20°C. If the temperature falls to 10°C, find the tension in the wire. Linear coefficient of expansion of steel = 11 xx 10^(-6)//k and Y = 2 xx10^(11) N//m^(2)

Two rods having length l_(1) and l_(2) , made of materials with the linear coefficient of expansion alpha_(1) and alpha_(2) were welded together. The equivalent coefficients of linear expansion for the obtained rod:-

Two metal rods of the same length and area of cross-section are fixed end to end between rigid supports. The materials of the rods have Young moduli Y_(1) and Y_(2) , and coefficient of linear expansion alpha_(1) and alpha_(2) . The junction between the rod does not shift and the rods are cooled

A uniform steel wire of cross-sectional area 0.20 mm^2 is held fixed by clamping its two ends. Find the extra force exerted be each clamp on the wire if the wire is cooled from 100^0C to 0^o C . Young's modulus of steel = 2.0 xx 10^11 N m^(-2) . Coefficient of linear expansion of =1.2 xx 10^(-5) C^(-1) .

Two wires of equal length and cross-section area suspended as shown in figure. Their Young's modulus are Y_(1) and Y_(2) respectively. The equavalent Young's modulus will be

Two wires one of copper and other of iron having same cross-section area and lengths 2 m and 1.5 m respectively are fastened end and stretched by a load 10 N. If copper wire is stretched by 2mm then find the total extension of combined wire, Y_(Cu)=1xx10^(11)N//m^(2) and Y_(Fe)=3xx10^(11)N//m^(2) .

A wire 2 mm in diameter is just stretched in between two fixed points at a temperature of 50^(@)C . Calculate the tension in the wire, when the temperature falls to 30^(@)C . Coefficient of linear expansion is 11 xx 10^(-4) l^(@)C and Young modulus is 2.1 xx 10^(11) N m^(2)

A brass wire 1.8 m long at 27^(@)C is held taut with negligible tension between two rigid supports. Diameter of the wire is 2 mm, its coefficient of linear expasion, alpha_("Brass") = 2 xx 10^(-5) .^(@)C^(-1) and its young's modulus, Y_("Brass") = 9xx 10^(10) N m^(-2) . If the wire is cooled to a temperature -39^(@)C , tension developed in the wire is

A steel wire of cross-sectional area 0.5mm^2 is held between two fixed supports. If the wire is just taut at 20^@C , determine the tension when the temperature falls to 0^@C . Coefficient of linear expansion of steel is 1.2 xx 10^(-5)C^(-1) and its Young's modulus is 2.0 xx 10^11 N m^(-2).

A steel wire of cross-sectional area 0.5mm^2 is held between two fixed supports. If the wire is just taut at 20^@C , determine the tension when the temperature falls to 0^@C . Coefficient of linear expansion of steel is 1.2 xx 10^(-5 @)C(-1) and its Young's modulus is 2.0 xx 10^11 N m^(-2) .