NEET Sample Paper NEET Sample Test Paper-14

  • question_answer Two blocks of masses 1 kg and 3 kg are attached to a horizontal spring of spring constant 300 N/m as shown in the figure. The natural vibrational frequency of the system is, approximately

    A)  4 Hz                           

    B)  3 Hz

    C)  2 Hz                           

    D)  1 Hz

    Correct Answer: B

    Solution :

    Here, we will use the reduced mass concept, \[\mu =\frac{{{m}_{1}}{{m}_{2}}}{{{m}_{1}}+{{m}_{2}}}=\frac{3\times 1}{4}=\frac{3}{4}\,kg.\] The time period of the system \[=T=2\pi \sqrt{\frac{\mu }{k}}\] \[T=2\pi \sqrt{\frac{3}{4\times 300}}=\frac{2\pi }{20}\] \[=\frac{\pi }{10}-\frac{1}{3}s.\] or \[f=3\,Hz.\] Hence, the correction option is [b].

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