A small circular loop of area $\frac{6}{\pi}\text{ cm}^2$ is placed inside a long solenoid at its centre such that its axis makes an angle of $60^{\circ}$ with the axis of the solenoid. The number of turns per cm is $10$ in the solenoid. The current in the solenoid changes uniformly from $5\text{ A}$ to zero in $10\text{ ms}$. Calculate the emf induced in the loop.