A rod of mass M and length K is hinged at its one end n carries a block f mass m at its other end. A spring of force constant `k_(1)` is installed at distance a form the hinge and another of force constant `k_(2)` at a distance b as shown in the figure. If the whole arrangement rests on a smooth horizontal table top. Find the frequency of vibrations.

Options

A. `(1)/(2pi)sqrt((k_(1)a^(2)+k_(2)b^(2))/(L^(2)(m+(M)/(3))))`
B. `(1)/(2pi)sqrt((k_(1)a^(2)+k_(2)b^(2))/(L^(2)(m-(M)/(3))))`
C. `(1)/(2pi)sqrt((k_(1)a^(2)-k_(2)b^(2))/(L^(2)(m+(M)/(3))))`
D. `(1)/(4pi)sqrt((k_(1)a^(2)+k_(2)b^(2))/(L^(2)(m-(M)/(3))))`

Answer

A