# Solved papers for JEE Main & Advanced AIEEE Solved Paper-2013

### done AIEEE Solved Paper-2013

• question_answer1) A uniform cylinder of length L and mass M having cross - sectional area A is suspended, with its length vertical, from a fixed point by a massless spring, such that it is half submerged n a liquid  of density $\sigma$ at equilibrium position. The extension${{x}_{0}}$of the spring when it is in equilibrium is: (Here, k is spring constant)   AIEEE Solevd Paper-2013

A) $\frac{Mg}{k}$

B) $\frac{Mg}{k}\left( 1-\frac{LA\sigma }{M} \right)$

C) $\frac{Mg}{k}\left( 1-\frac{LA\sigma }{2M} \right)$

D) $\frac{Mg}{k}\left( 1+\frac{LA\sigma }{M} \right)$

• question_answer2) Assume that a drop of liquid evaporates by decrease in its surface energy. So that its temperature remains unchanged. What should be the minimum radius of the drop for this to be possible? The surface tension is T, density of liquid is$\rho$and L is its latent heat of vaporization.     AIEEE Solevd Paper-2013

A) $\frac{\rho L}{T}$

B)        $\sqrt{\frac{T}{\rho L}}$

C)        $\frac{T}{\rho L}$

D)        $\frac{2T}{\rho L}$