A block of mass `m_1` resting on a frictionless horizontal surface is connected to a spring of spring constant k that is anchored in a near by wall. A block of mass `m_2` is placed on the top of the first block. The coefficient of static friction between the two blocks is `mu` Assuming that the two blocks move together as a unit, find the period of oscillation of the system and also find maximum oscillation amplitude that permits the two bodies to move as a unit.

Options

A. 2`pisqrt ((m_1 + m_2)/k), `(mum_2g)`/k
B. 2`pisqrt ((m_1 + m_2)/k)`, `(mum_1g)`/k
C. 2`pisqrt ((m_1 + m_2)/k)`,`(mu(m_1+ m_2))`/k
D. 2`pisqrt ((m_1 + m_2)/k)`, `(mug(m_1+ m_2))`/k