NEET Physics Thermal Properties Of Matter Thermal Expansion Of Solids MCQs

A bimetallic strip made of materials X and Y, with linear expansion coefficients $\alpha_X$ and $\alpha_Y$ respectively ($\alpha_X > \alpha_Y$), is fixed at one end. When heated, the strip bends. A small mass 'm' is attached to the free end, producing a bending moment 'M'. If the temperature is further increased by $\Delta T$, and assuming the bending remains elastic, the additional bending moment required to keep the strip straight is:

A solid sphere of radius 'R' made of a material with a volume expansion coefficient '$\gamma$' is heated by $\Delta T$. The fractional change in its moment of inertia about a diameter is:

Two rods of identical dimensions but different materials, having linear expansion coefficients $\alpha_1$ and $\alpha_2$ ($\alpha_1 > \alpha_2$), are fixed at their ends and subjected to the same temperature increase. If the thermal stress developed in the rods are $\sigma_1$ and $\sigma_2$ respectively, which of the following is correct?

A pendulum clock keeps correct time at $20^\circ C$. The pendulum is made of a material with a linear expansion coefficient $\alpha$. If the temperature increases to $30^\circ C$, how much time will the clock gain or lose in one day?

A metal rod of length 'L' is clamped rigidly at its midpoint. If its temperature is increased by $\Delta T$, the longitudinal strain developed in the rod is:

A metal rod of length $L$ at temperature $T_1$ is heated to a temperature $T_2$. If the linear expansivity of the metal is $\alpha$, the increase in length of the rod is given by:

Two rods of different materials but of the same length and cross-sectional area are heated through the same temperature difference. If their linear expansivities are $\alpha_1$ and $\alpha_2$ respectively, the difference in their elongation is:

Which of the following is the correct relationship between linear expansivity ($\alpha$), superficial expansivity ($\beta$), and cubical expansivity ($\gamma$)?

A bimetallic strip is made of two metals with different linear expansivities. When heated, the strip bends because:

A steel bridge is built with expansion joints because: