The system shown consists of 3 springs and two rods. If the temperature of the rods is increased by Δ T , if the force exerted by springs on wall is 11 x K Lα Δ T , then find value of x . Neglect friction and thermal stress and take the coefficient of linear expansion of the material of rods equal to α .

Start Free Mock LoginAlready registered? Login here

Thermal Properties of Matter - Thermal Expansion Question with Solution | TestHub

Thermal Properties of MatterThermal ExpansionThermal StressMedium3 minCT49

Thermal Properties of MatterMediuminteger

The system shown consists of 3 springs and two rods. If the temperature of the rods is increased by $Δ T$ , if the force exerted by springs on wall is $\frac{x}{11} K Lα Δ T$ , then find value of x . Neglect friction and thermal stress and take the coefficient of linear expansion of the material of rods equal to $α$ .

CT49 diagram

Answer:

Solution:

Use the thermal strain αΔT, volume coefficient 3α, and elastic compatibility where constrained.

Substitution gives the marked answer 4.

Stream:JEESubject:Thermal Properties of MatterTopic:Thermal ExpansionSubtopic:Thermal Stress

⏱ 3mℹ️ Source: CT49

Doubts & Discussion

Loading discussions...