Eight blocks of masses m , 2m , 3m ,------,8m are placed on a table as shown in the figure .The table is smooth . The block 'm' is given a velocity $\;v_{0}\;$ which inturn hits '2m' and the process continues and finally the systems sticks to a spring of spring constant $\;K_{1}\;$ . Find the angular frequency (w) of the system . (Consider all collisions to be inelastic e=0 )

Question

$(a)\;\large\frac{1}{12}\;\sqrt{\large\frac{K}{m}}\qquad(b)\;\large\frac{1}{3}\;\sqrt{\large\frac{K}{m}}\qquad(c)\;\large\frac{1}{6}\;\sqrt{\large\frac{K}{m}}\qquad(d)\;None\;of\;these$