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

  • question_answer
    The springs shown are identical. When\[A=4kg\], the elongation of spring is 1 cm. If \[B=6kg\], the elongation produced by it is                                                         [Pb. PET 2002]

    A)            4 cm                                         

    B)            3 cm

    C)            2 cm                                         

    D)            1 cm

    Correct Answer: B

    Solution :

                       \[F=kx\] Þ \[mg=kx\] Þ \[m\propto kx\] Hence \[\frac{{{m}_{1}}}{{{m}_{2}}}=\frac{{{k}_{1}}}{{{k}_{2}}}\times \frac{{{x}_{1}}}{{{x}_{2}}}\] Þ \[\frac{4}{6}=\frac{k}{k/2}\times \frac{1}{{{x}_{2}}}\] \[\Rightarrow \]\[{{x}_{2}}=3\,cm\].


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