A uniform metal rod of length 'L' and mass 'M' is rotating about an axis passing through one of the ends perpendicular to the rod with angular speed $'\omega'.$ If the temperature increases by $''t^\circ\,C''$ then the change in its angular velocity is proportional to which of the following ? (Coefficient o f linear expansion of rod = $\alpha$ )
- $\sqrt\omega$
- $\omega$
- $\omega^2$
- $1/\omega$
The Correct Option is B
Solution and Explanation
Top Questions on Thermal Expansion
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Notes on Thermal Expansion
Concepts Used:
Thermal Expansion
Thermal expansion is the tendency of matter to change its shape, area, and volume in response to a change in temperature. Temperature is a monotonic function of the average molecular kinetic energy of a substance.
The expansion of the solid material is taken to be the linear expansion coefficient, as the expansion takes place in terms of height, thickness and length. The gaseous and liquid expansion takes the volume expansion coefficient. Normally, if the material is fluid, we can explain the changes in terms of volume change.
The bonding force among the molecules and atoms differs from material to material. These characteristics of the compounds and elements are known as the expansion coefficient.
