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

In the figure, AB and CD are two vertical walls of a horizontal rectangular groove. A rectangular block of mass m just fits in the groove. Base of the block is smooth and coefficient of friction between walls and block is $\mu$. Contact area of block with each wall is A. Linear coefficient of thermal expansion and young's modulus of material of block are $\alpha$ and Y respectively. Temperature $\theta$ of block increases uniformly as $\Delta \theta =\mathrm{t}(\mathrm{t}=\mathrm{time})$. Initial velocity of block is ${\mathrm{v}}_0$ then