Bissoy.com
Doctors Medicines MCQs Q&A

The coefficient of the linear expansion of a bar depends upon the-

The coefficient of the linear expansion of a bar depends upon the- Correct Answer Material of the bar

option(3) 

CONCEPT:

  • The coefficient of linear expansion of the material of the solid is defined as the increase in length per unit original length per degree rise in temperature.

The formula of the coefficient of linear expansion:

L = L0(1 + α ΔT)

EXPLANATION: 

  • Suppose a solid rod of length L0 is heated through the temperature T and it's final (Increased) length is L.

It is found from the experiment that:

Increase in length ∝ rise in temperature

(L - L0) ∝ ΔT     ---(i)

Increase in length ∝ original length 

(L - L0) ∝ l       ---(ii)

Combining the above two factors, we get:

(L - L0) ∝ l ΔT or (L - L0) = αL0ΔT 

  • The proportionality constant α is called the coefficient of linear expansion.
  • Its value depends upon the nature of the solid.
  • The coefficient of the linear expansion of a bar depends upon the material of the bar.
  • Hence option 4 is correct.

Related Questions

The length, coefficient of thermal expansion and Youngs modulus of bar A are twice of bar B. If the temperature of both bars is increased by the same amount while preventing any expansion, then the ratio of stress developed in bar A to that in bar B will be ___________
What is the relation between linear expansion coefficient (α), Areal expansion coefficient (β) and volume expansion coefficient (ϒ)
An aluminium bar of 8 m length and a steel bar of 5 mm longer in length are kept at 30°C. If the ambient temperature is raised gradually, at what temperature the aluminium bar will elongate 5 mm longer than the steel bar (the linear expansion coefficients for steel and aluminium are 12 × 10-6/°C and 23 × 10-6/°C respectively)?
The length, Young’s modulus and coefficient of thermal expansion of bar P are twice that of bar Q. what will be the ration of stress developed in bar P to that in bar Q if the temperature of both bars is increased by the same amount?
A bar of bronze and a bar of steel are placed between two immovable supports, A and B as shown in the figure. The physical constant are : (where L = Length of bars, A = cross-sectional area, α = linear coefficient of thermal expansion, E = Young’s modulus) Steel                                      Bronze L = 0.5 m                              L = 0.75 m A = 6 × 10-4m2                    A = 12 × 10-4 m2 α = 12 × 10-6/°C                 α = 20 × 10-6/°C E = 200 GPa                         E = 100 GPa The stresses in the steel and bronze, when temperature drops by 50°C is
When a circular bar tapering uniformly from diameter d1, at one end to diameter d2 at the other end, is subjected to an increase in temperature (t), then the thermal stress induced is (where $$\alpha $$ = Coefficient of linear expansion and E = Modulus of elasticity for the bar material)
What is the value of coefficient of area expansion for a sphere? Assume coefficient of linear expansion is α.
The value of coefficient of linear expansion depends upon-
If the amplitude or oscillation of a simple pendulum is very small, then its time period of oscillation
1. depends on the length of the pendulum, L.
2. depends on the acceleration due to gravity, g.
3. depends upon the mass of the bob of the pendulum, m.
4. does not depend upon the amplitude of the pendulum, A.
Select the correct answer:
Working principle of bimetallic thermometers is difference in linear co-efficient of thermal expansion of two strips of different metals welded together. Which of the following has the maximum thermal co-efficient of linear expansion?