8th and 9th question

Q8. The spring block system as shown in the figure is in equilibrium. The spring connecting blocks A and B is cut. The mass of all the three blocks is m and spring constant of both the spring is k. The amplitude of resulting oscillation of block A is :

       (A) $\frac{\mathrm{mg}}{\mathrm{k}}$                                               (B) $\frac{2\mathrm{mg}}{\mathrm{k}}$

      (C) $\frac{3\mathrm{mg}}{\mathrm{k}}$                                              (D) $\frac{4\mathrm{mg}}{\mathrm{k}}$
        

Q9. A simple pendulum is suspended from the ceiling of a lift. When the lift is at rest, its time period is T. With what acceleration should lift be a accelerated upwards in order to reduce its time period to T/2?

       (A) g                                                     (B) 2 g

       (C) 3g                                                    (D) 4g