JEE Main & Advanced Physics Simple Harmonic Motion Question Bank Spring Pendulum

  • question_answer
    Two springs of force constants K and 2K are connected to a mass as shown below. The frequency of oscillation of the mass is     [RPMT 1996; DCE 2000; AIIMS 2003]

    A)            \[(1/2\pi )\sqrt{(K/m)}\] 

    B)            \[(1/2\pi )\sqrt{(2K/m)}\]

    C)            \[(1/2\pi )\sqrt{(3K/m)}\]      

    D)            \[(1/2\pi )\sqrt{(m/K)}\]

    Correct Answer: C

    Solution :

               \[n=\frac{1}{2\pi }\sqrt{\frac{{{K}_{effective}}}{m}}=\frac{1}{2\pi }\sqrt{\frac{(K+2K)}{m}}\]=\[\frac{1}{2\pi }\sqrt{\frac{3K}{m}}\]


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