ExamBro
ExamBro
COMEDK · Physics · 15. Oscillations

Two spring of force constant \(k_{1}\) and \(k_{2}\) are configured as the figure given below



The angular frequency of this configuration is

  1. A \(\dfrac{k_{1}+k_{2}}{m}\)
  2. B \(\sqrt{\dfrac{k_{1}+k_{2}}{m}}\)
  3. C \(\sqrt{\dfrac{k_{1}}{k_{2} m}}\)
  4. D \(\dfrac{k_{2} m}{k_{1}}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\sqrt{\dfrac{k_{1}+k_{2}}{m}}\)

Step-by-step Solution

Detailed explanation

In the given configuration, the block of mass \(m\) is connected to two springs with force constants \(k_{1}\) and \(k_{2}\) on either side. When the block is displaced by a small distance \(x\) from its equilibrium position, one spring is compressed by \(x\) and the other is…