A) \[n=\frac{1}{2\pi }\sqrt{\left( \frac{{{k}_{1}}-{{k}_{2}}}{m} \right)}\]
B) \[n=\frac{1}{2\pi }\sqrt{\left( \frac{{{k}_{1}}+{{k}_{2}}}{m} \right)}\]
C) \[n=\frac{1}{2\pi }\sqrt{\left( \frac{m}{{{k}_{1}}+{{k}_{2}}} \right)}\]
D) \[n=\frac{1}{2\pi }\sqrt{\left( \frac{m}{{{k}_{1}}-{{k}_{2}}} \right)}\]
Correct Answer: B
Solution :
With respect to the block the springs are connected in parallel combination. \[\therefore \] Combined stiffness k = k1+ k2 and \[n=\frac{1}{2\pi }\sqrt{\frac{{{k}_{1}}+{{k}_{2}}}{m}}\]
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