When a mass is connected individually to the springs and , the oscillation frequencies are and . If the same mass is attached to the two springs as shown in the figure, the oscillation frequency would be:
1
2
3
4
Official Solution
Correct Option: (2)
Step 1: Understanding the Given System - When a mass is connected to a single spring of spring constant , the oscillation frequency is given by:
- Here, the two springs are connected in parallel, meaning they act together to provide an effective restoring force. Step 2: Finding the Effective Spring Constant For two parallel springs with constants and , the equivalent spring constant is:
Using the frequency formula:
Squaring both equations:
The effective frequency for the parallel combination is:
Substituting :
Thus, the correct answer is:
