question_answer

A block is placed on a frictionless horizontal table. The mass of the block is m and springs are attached on either side with force constants \[{{K}_{1}}\]and \[{{K}_{2}}.\]If the block is displaced a little and left to oscillate, then the angular frequency of oscillation will be

A)  \[{{\left( \frac{{{K}_{1}}+{{K}_{2}}}{m} \right)}^{\frac{1}{2}}}\]               

B)  \[{{\left[ \frac{{{K}_{1}}{{K}_{2}}}{m({{K}_{1}}+{{K}_{2}})} \right]}^{\frac{1}{2}}}\]

C)  \[{{\left[ \frac{{{K}_{1}}{{K}_{2}}}{({{K}_{1}}-{{K}_{2}})m} \right]}^{\frac{1}{2}}}\]  

D)  \[{{\left[ \frac{K_{1}^{2}K_{2}^{2}}{({{K}_{1}}+{{K}_{2}})m} \right]}^{\frac{1}{2}}}\]